Solving the 3d Ising Model with the Conformal Bootstrap II. c-Minimization and Precise Critical Exponents
Abstract
Here, we use the conformal bootstrap to perform a precision study of the operator spectrum of the critical 3d Ising model. We conjecture that the 3d Ising spectrum minimizes the central charge \(c\) in the space of unitary solutions to crossing symmetry. Because extremal solutions to crossing symmetry are uniquely determined, we are even able to precisely reconstruct the first several \(\mathbb {Z}_2\)-even operator dimensions and their OPE coefficients. We observe that a sharp transition in the operator spectrum occurs at the 3d Ising dimension \(\Delta _\sigma = 0.518154(15)\), and find strong numerical evidence that operators decouple from the spectrum as one approaches the 3d Ising point. We compare this behavior to the analogous situation in 2d, where the disappearance of operators can be understood in terms of degenerate Virasoro representations.
- Authors:
-
- European Organization for Nuclear Research (CERN), Geneva (Switzerland)
- Brown Univ., Providence, RI (United States)
- Yale Univ., New Haven, CT (United States)
- European Organization for Nuclear Research (CERN), Geneva (Switzerland); École Normale Supérieure, Paris (France); Univ. Pierre et Marie Curie, Paris (France)
- Institute for Advanced Study, Princeton, NJ (United States). School of Natural Sciences
- Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States); Univ. of California, Berkeley, CA (United States)
- Publication Date:
- Research Org.:
- Institute for Advanced Study, Princeton, NJ (United States); Univ. of California, Berkeley, CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP); National Science Foundation (NSF)
- OSTI Identifier:
- 1599339
- Grant/Contract Number:
- SC0009988; PHY11-25915; 05-BLAN-NT09-573739; PITN-GA-2009-237920; FG02-11ER41742; AC02-05CH1123
- Resource Type:
- Journal Article: Accepted Manuscript
- Journal Name:
- Journal of Statistical Physics
- Additional Journal Information:
- Journal Volume: 157; Journal Issue: 4-5; Journal ID: ISSN 0022-4715
- Publisher:
- Springer
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Critical phenomena; Conformal invariance; Ising Model; Critical exponents; Central charge; Stress tensor
Citation Formats
El-Showk, Sheer, Paulos, Miguel F., Poland, David, Rychkov, Slava, Simmons-Duffin, David, and Vichi, Alessandro. Solving the 3d Ising Model with the Conformal Bootstrap II. c-Minimization and Precise Critical Exponents. United States: N. p., 2014.
Web. doi:10.1007/s10955-014-1042-7.
El-Showk, Sheer, Paulos, Miguel F., Poland, David, Rychkov, Slava, Simmons-Duffin, David, & Vichi, Alessandro. Solving the 3d Ising Model with the Conformal Bootstrap II. c-Minimization and Precise Critical Exponents. United States. https://doi.org/10.1007/s10955-014-1042-7
El-Showk, Sheer, Paulos, Miguel F., Poland, David, Rychkov, Slava, Simmons-Duffin, David, and Vichi, Alessandro. 2014.
"Solving the 3d Ising Model with the Conformal Bootstrap II. c-Minimization and Precise Critical Exponents". United States. https://doi.org/10.1007/s10955-014-1042-7. https://www.osti.gov/servlets/purl/1599339.
@article{osti_1599339,
title = {Solving the 3d Ising Model with the Conformal Bootstrap II. c-Minimization and Precise Critical Exponents},
author = {El-Showk, Sheer and Paulos, Miguel F. and Poland, David and Rychkov, Slava and Simmons-Duffin, David and Vichi, Alessandro},
abstractNote = {Here, we use the conformal bootstrap to perform a precision study of the operator spectrum of the critical 3d Ising model. We conjecture that the 3d Ising spectrum minimizes the central charge \(c\) in the space of unitary solutions to crossing symmetry. Because extremal solutions to crossing symmetry are uniquely determined, we are even able to precisely reconstruct the first several \(\mathbb {Z}_2\)-even operator dimensions and their OPE coefficients. We observe that a sharp transition in the operator spectrum occurs at the 3d Ising dimension \(\Delta _\sigma = 0.518154(15)\), and find strong numerical evidence that operators decouple from the spectrum as one approaches the 3d Ising point. We compare this behavior to the analogous situation in 2d, where the disappearance of operators can be understood in terms of degenerate Virasoro representations.},
doi = {10.1007/s10955-014-1042-7},
url = {https://www.osti.gov/biblio/1599339},
journal = {Journal of Statistical Physics},
issn = {0022-4715},
number = 4-5,
volume = 157,
place = {United States},
year = {Thu Jun 26 00:00:00 EDT 2014},
month = {Thu Jun 26 00:00:00 EDT 2014}
}
Web of Science
Works referenced in this record:
Carving out the space of 4D CFTs
journal, May 2012
- Poland, David; Simmons-Duffin, David; Vichi, Alessandro
- Journal of High Energy Physics, Vol. 2012, Issue 5
Finite size scaling study of lattice models in the three-dimensional Ising universality class
journal, November 2010
- Hasenbusch, Martin
- Physical Review B, Vol. 82, Issue 17
Nonperturbative renormalization group approach to the Ising model: A derivative expansion at order
journal, August 2003
- Canet, Léonie; Delamotte, Bertrand; Mouhanna, Dominique
- Physical Review B, Vol. 68, Issue 6
The analytic bootstrap and AdS superhorizon locality
journal, December 2013
- Fitzpatrick, A. Liam; Kaplan, Jared; Poland, David
- Journal of High Energy Physics, Vol. 2013, Issue 12
Lattice radial quantization: 3D Ising
journal, April 2013
- Brower, R. C.; Fleming, G. T.; Neuberger, H.
- Physics Letters B, Vol. 721, Issue 4-5
On RG flow of τ RR for supersymmetric field theories in three-dimensions
journal, May 2013
- Nishioka, Tatsuma; Yonekura, Kazuya
- Journal of High Energy Physics, Vol. 2013, Issue 5
The bootstrap program for boundary CFT d
journal, July 2013
- Liendo, Pedro; Rastelli, Leonardo; van Rees, Balt C.
- Journal of High Energy Physics, Vol. 2013, Issue 7
Numerical Methods for Semi-Infinite Programming: A Survey
book, January 1998
- Reemtsen, Rembert; Görner, Stephan
- Semi-Infinite Programming
25th-order high-temperature expansion results for three-dimensional Ising-like systems on the simple-cubic lattice
journal, June 2002
- Campostrini, Massimo; Pelissetto, Andrea; Rossi, Paolo
- Physical Review E, Vol. 65, Issue 6
Conformal Invariance, Unitarity, and Critical Exponents in Two Dimensions
journal, April 1984
- Friedan, Daniel; Qiu, Zongan; Shenker, Stephen
- Physical Review Letters, Vol. 52, Issue 18
Universal amplitude ratios in finite-size scaling: three-dimensional Ising model
journal, April 2000
- Weigel, Martin; Janke, Wolfhard
- Nuclear Physics B - Proceedings Supplements, Vol. 83-84
O(N) models within the local potential approximation
journal, August 1997
- Comellas, Jordi; Travesset, Alex
- Nuclear Physics B, Vol. 498, Issue 3
Simultaneous analysis of several models in the three-dimensional Ising universality class
journal, September 2003
- Deng, Youjin; Blöte, Henk W. J.
- Physical Review E, Vol. 68, Issue 3
Convexity and liberation at large spin
journal, November 2013
- Komargodski, Zohar; Zhiboedov, Alexander
- Journal of High Energy Physics, Vol. 2013, Issue 11
Bounding scalar operator dimensions in 4 D CFT
journal, December 2008
- Rattazzi, Riccardo; Rychkov, Vyacheslav S.; Tonni, Erik
- Journal of High Energy Physics, Vol. 2008, Issue 12
Conserved Currents, Consistency Relations, and Operator Product Expansions in the Conformally InvariantO(N) Vector Model
journal, July 1996
- Petkou, Anastasios
- Annals of Physics, Vol. 249, Issue 1
Unitarity and the holographic S-Matrix
journal, October 2012
- Fitzpatrick, A. Liam; Kaplan, Jared
- Journal of High Energy Physics, Vol. 2012, Issue 10
Bjorken Scaling in Quantum Field Theory
journal, December 1973
- Callan, Curtis G.; Gross, David J.
- Physical Review D, Vol. 8, Issue 12
Accurate critical exponents for Ising like systems in non-integer dimensions
journal, January 1987
- Le Guillou, J. C.; Zinn-Justin, J.
- Journal de Physique, Vol. 48, Issue 1
Positivity constraints for anomalous dimensions
journal, October 1973
- Nachtmann, Otto
- Nuclear Physics B, Vol. 63
Critical exponents by the scaling-field method: The isotropic -vector model in three dimensions
journal, December 1984
- Newman, Kathie E.; Riedel, Eberhard K.
- Physical Review B, Vol. 30, Issue 11
Holography from conformal field theory
journal, October 2009
- Heemskerk, Idse; Penedones, Joao; Polchinski, Joseph
- Journal of High Energy Physics, Vol. 2009, Issue 10
Details of the non-unitarity proof for highest weight representations of the Virasoro algebra
journal, December 1986
- Friedan, Daniel; Qiu, Zongan; Shenker, Stephen
- Communications in Mathematical Physics, Vol. 107, Issue 4
c -theorem and spectral representation
journal, April 1991
- Cappelli, Andrea; Friedan, Daniel; Latorre, JoséI.
- Nuclear Physics B, Vol. 352, Issue 3
Trace anomalies and λφ4 theory in curved space
journal, March 1982
- Hathrell, S. J.
- Annals of Physics, Vol. 139, Issue 1
Bounds on 4D conformal and superconformal field theories
journal, May 2011
- Poland, David; Simmons-Duffin, David
- Journal of High Energy Physics, Vol. 2011, Issue 5
Bootstrapping Conformal Field Theories with the Extremal Functional Method
journal, December 2013
- El-Showk, Sheer; Paulos, Miguel F.
- Physical Review Letters, Vol. 111, Issue 24
Background field calculations in curved spacetime
journal, April 1984
- Jack, I.; Osborn, H.
- Nuclear Physics B, Vol. 234, Issue 2
Solving the 3D Ising model with the conformal bootstrap
journal, July 2012
- El-Showk, Sheer; Paulos, Miguel F.; Poland, David
- Physical Review D, Vol. 86, Issue 2
The renormalization group and the ε expansion
journal, August 1974
- Wilson, K.
- Physics Reports, Vol. 12, Issue 2
Holography from Conformal Field Theory
text, January 2009
- Heemskerk, Idse; Penedones, Joao; Polchinski, Joseph
- arXiv
Bounds on 4D Conformal and Superconformal Field Theories
text, January 2010
- Poland, David; Simmons-Duffin, David
- arXiv
Solving the 3D Ising Model with the Conformal Bootstrap
text, January 2012
- El-Showk, Sheer; Paulos, Miguel F.; Poland, David
- arXiv
The Bootstrap Program for Boundary CFT_d
text, January 2012
- Liendo, Pedro; Rastelli, Leonardo; van Rees, Balt C.
- arXiv
Bootstrapping Conformal Field Theories with the Extremal Functional Method
text, January 2012
- El-Showk, Sheer; Paulos, Miguel F.
- arXiv
On RG Flow of tau_{RR} for Supersymmetric Field Theories in Three-Dimensions
text, January 2013
- Nishioka, Tatsuma; Yonekura, Kazuya
- arXiv
Conserved Currents, Consistency Relations and Operator Product Expansions in the Conformally Invariant O(N) Vector Model
text, January 1994
- Petkou, Anastasios
- arXiv
Scaling solutions in a continuous dimension
journal, October 2012
- Codello, Alessandro
- Journal of Physics A: Mathematical and Theoretical, Vol. 45, Issue 46
Universal Constraints on Conformal Operator Dimensions
text, January 2009
- Rychkov, Vyacheslav S.; Vichi, Alessandro
- arXiv
Ising exponents from the functional renormalisation group
text, January 2010
- Litim, Daniel F.; Zappalá, Dario
- arXiv
OPE Convergence in Conformal Field Theory
text, January 2012
- Pappadopulo, Duccio; Rychkov, Slava; Espin, Johnny
- arXiv
Radial Coordinates for Conformal Blocks
text, January 2013
- Hogervorst, Matthijs; Rychkov, Slava
- arXiv
Diagonal Limit for Conformal Blocks in d Dimensions
text, January 2013
- Hogervorst, Matthijs; Osborn, Hugh; Rychkov, Slava
- arXiv
Works referencing / citing this record:
Fractal dimension of critical curves in the -symmetric model and crossover exponent at 6-loop order: Loop-erased random walks, self-avoiding walks, Ising, , and Heisenberg models
journal, January 2020
- Kompaniets, Mikhail; Wiese, Kay Jörg
- Physical Review E, Vol. 101, Issue 1
Emergent O( ) symmetry in a series of three-dimensional Potts models
journal, September 2016
- Ding, Chengxiang; Blöte, Henk W. J.; Deng, Youjin
- Physical Review B, Vol. 94, Issue 10
Smallest neural network to learn the Ising criticality
journal, August 2018
- Kim, Dongkyu; Kim, Dong-Hee
- Physical Review E, Vol. 98, Issue 2
Low-temperature glassy systems: Present understanding, open problems and future developments
journal, December 2015
- Parisi, G.
- International Journal of Modern Physics B, Vol. 29, Issue 31
Corrections to finite-size scaling in the 3D Ising model based on nonperturbative approaches and Monte Carlo simulations
journal, April 2017
- Kaupužs, J.; Melnik, R. V. N.; Rimšāns, J.
- International Journal of Modern Physics C, Vol. 28, Issue 04
Scaling and superscaling solutions from the functional renormalization group
journal, October 2015
- Hellwig, Tobias; Wipf, Andreas; Zanusso, Omar
- Physical Review D, Vol. 92, Issue 8
Dynamic scaling of topological ordering in classical systems
text, January 2018
- Xu, N.; Castelnovo, Claudio; Melko, Rg
- Apollo - University of Cambridge Repository
Morphology of renormalization-group flow for the de Almeida–Thouless–Gardner universality class
journal, February 2019
- Charbonneau, Patrick; Hu, Yi; Raju, Archishman
- Physical Review E, Vol. 99, Issue 2
PyCFTBoot: A Flexible Interface for the Conformal Bootstrap
journal, May 2017
- Behan, Connor
- Communications in Computational Physics, Vol. 22, Issue 1
Conformal perturbation theory confronts lattice results in the vicinity of a critical point
journal, August 2019
- Caselle, Michele; Magnoli, Nicodemo; Nada, Alessandro
- Physical Review D, Vol. 100, Issue 3
The conformal bootstrap
journal, June 2016
- Poland, David; Simmons-Duffin, David
- Nature Physics, Vol. 12, Issue 6
Anomalous dimensions of spinning operators from conformal symmetry
journal, January 2018
- Gliozzi, Ferdinando
- Journal of High Energy Physics, Vol. 2018, Issue 1
Inverse bootstrapping conformal field theories
journal, January 2018
- Li, Wenliang
- Journal of High Energy Physics, Vol. 2018, Issue 1
Recursion relations in p -adic Mellin Space
journal, June 2019
- Jepsen, Christian Baadsgaard; Parikh, Sarthak
- Journal of Physics A: Mathematical and Theoretical, Vol. 52, Issue 28
Lévy Analysis of HBT Correlation Functions in s N N = 62 GeV and 39 GeV Au + Au Collisions at PHENIX
journal, January 2018
- Kincses, Dániel
- Universe, Vol. 4, Issue 1
Low temperature glassy systems: Present understanding, open problems and future developments
book, February 2016
- Parisi, G.
- Peregrinations from Physics to Phylogeny
Truncatable bootstrap equations in algebraic form and critical surface exponents
journal, October 2016
- Gliozzi, Ferdinando
- Journal of High Energy Physics, Vol. 2016, Issue 10
Chiral phase structure of three flavor QCD at vanishing baryon number density
journal, April 2017
- Bazavov, A.; Ding, H. -T.; Hegde, P.
- Physical Review D, Vol. 95, Issue 7
Eikonalization of conformal blocks
journal, September 2015
- Fitzpatrick, A. Liam; Kaplan, Jared; Walters, Matthew T.
- Journal of High Energy Physics, Vol. 2015, Issue 9
Bootstrapping vector models in
journal, April 2015
- Chester, Shai M.; Pufu, Silviu S.; Yacoby, Ran
- Physical Review D, Vol. 91, Issue 8
Leading order CFT analysis of multi-scalar theories in $$d>2$$ d > 2
journal, April 2019
- Codello, A.; Safari, M.; Vacca, G. P.
- The European Physical Journal C, Vol. 79, Issue 4
Deformation Quantization and Superconformal Symmetry in Three Dimensions
journal, February 2017
- Beem, Christopher; Peelaers, Wolfger; Rastelli, Leonardo
- Communications in Mathematical Physics, Vol. 354, Issue 1
The phase behavior study of human antibody solution using multi-scale modeling
journal, November 2016
- Sun, Gang; Wang, Ying; Lomakin, Aleksey
- The Journal of Chemical Physics, Vol. 145, Issue 19
Bound states of the model via the nonperturbative renormalization group
journal, June 2016
- Rose, F.; Benitez, F.; Léonard, F.
- Physical Review D, Vol. 93, Issue 12
An Asymptotically Safe Guide to Quantum Gravity and Matter
journal, January 2019
- Eichhorn, Astrid
- Frontiers in Astronomy and Space Sciences, Vol. 5
Conformal bootstrap in the Regge limit
journal, December 2017
- Li, Daliang; Meltzer, David; Poland, David
- Journal of High Energy Physics, Vol. 2017, Issue 12
Semiclassics, Goldstone bosons and CFT data
text, January 2017
- Monin, Alexander K.; Pirtskhalava, David; Rattazzi, Riccardo
- ETH Zurich
Necessary Condition for Emergent Symmetry from the Conformal Bootstrap
journal, September 2016
- Nakayama, Yu; Ohtsuki, Tomoki
- Physical Review Letters, Vol. 117, Issue 13
Leading CFT constraints on multi-critical models in d > 2
journal, April 2017
- Codello, Alessandro; Safari, Mahmoud; Vacca, Gian Paolo
- Journal of High Energy Physics, Vol. 2017, Issue 4
On the CFT operator spectrum at large global charge
text, January 2015
- Watanabe, Masataka; Orlando, Domenico; Hellerman, Simeon
- Springer
Accidents in (0,2) Landau-Ginzburg theories
journal, December 2014
- Bertolini, Marco; Melnikov, Ilarion V.; Plesser, M. Ronen
- Journal of High Energy Physics, Vol. 2014, Issue 12
A scaling theory for the long-range to short-range crossover and an infrared duality
journal, August 2017
- Behan, Connor; Rastelli, Leonardo; Rychkov, Slava
- Journal of Physics A: Mathematical and Theoretical, Vol. 50, Issue 35
Correlation functions of warped CFT
journal, April 2018
- Song, Wei; Xu, Jianfei
- Journal of High Energy Physics, Vol. 2018, Issue 4
Yukawa conformal field theories and emergent supersymmetry
journal, November 2016
- Fei, Lin; Giombi, Simone; Klebanov, Igor R.
- Progress of Theoretical and Experimental Physics, Vol. 2016, Issue 12
Interpolating between a and F
journal, March 2015
- Giombi, Simone; Klebanov, Igor R.
- Journal of High Energy Physics, Vol. 2015, Issue 3
Quantum phase transition in the spin-anisotropic quantum spherical model
journal, July 2015
- Wald, Sascha; Henkel, Malte
- Journal of Statistical Mechanics: Theory and Experiment, Vol. 2015, Issue 7
Generalized Wilson-Fisher Critical Points from the Conformal Operator Product Expansion
journal, February 2017
- Gliozzi, Ferdinando; Guerrieri, Andrea L.; Petkou, Anastasios C.
- Physical Review Letters, Vol. 118, Issue 6
Bootstrapping mixed correlators in the five dimensional critical O(N) models
journal, April 2017
- Li, Zhijin; Su, Ning
- Journal of High Energy Physics, Vol. 2017, Issue 4
Scale invariance implies conformal invariance for the three-dimensional Ising model
journal, January 2016
- Delamotte, Bertrand; Tissier, Matthieu; Wschebor, Nicolás
- Physical Review E, Vol. 93, Issue 1
Critical Two-Point Function for Long-Range O(n) Models Below the Upper Critical Dimension
journal, November 2017
- Lohmann, Martin; Slade, Gordon; Wallace, Benjamin C.
- Journal of Statistical Physics, Vol. 169, Issue 6
Renormalization group theory, the epsilon expansion and Ken Wilson as I knew him
journal, March 2015
- Fisher, Michael E.
- International Journal of Modern Physics B, Vol. 29, Issue 08
An algebraic approach to the analytic bootstrap
journal, April 2017
- Alday, Luis F.; Zhiboedov, Alexander
- Journal of High Energy Physics, Vol. 2017, Issue 4
Dimensional reduction for conformal blocks
journal, September 2016
- Hogervorst, Matthijs
- Journal of High Energy Physics, Vol. 2016, Issue 9
Bootstrapping the half-BPS line defect
text, January 2018
- Liendo, Pedro; Meneghelli, Carlo; Mitev, Vladimir
- Deutsches Elektronen-Synchrotron, DESY, Hamburg
Nontrivial Critical Fixed Point for Replica-Symmetry-Breaking Transitions
journal, May 2017
- Charbonneau, Patrick; Yaida, Sho
- Physical Review Letters, Vol. 118, Issue 21
Self-avoiding walk, spin systems and renormalization
journal, January 2019
- Slade, Gordon
- Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 475, Issue 2221
Exact correlators of BPS Operators from the 3d superconformal bootstrap
journal, March 2015
- Chester, Shai M.; Lee, Jaehoon; Pufu, Silviu S.
- Journal of High Energy Physics, Vol. 2015, Issue 3
Higgs Mode of Planar Coupled Spin Ladders and its Observation in
journal, March 2019
- Ying, T.; Schmidt, K. P.; Wessel, S.
- Physical Review Letters, Vol. 122, Issue 12
Functional perturbative RG and CFT data in the $$\epsilon $$ ϵ -expansion
journal, January 2018
- Codello, A.; Safari, M.; Vacca, G. P.
- The European Physical Journal C, Vol. 78, Issue 1
Defects in conformal field theory
journal, April 2016
- Billò, Marco; Gonçalves, Vasco; Lauria, Edoardo
- Journal of High Energy Physics, Vol. 2016, Issue 4
Bootstrapping the long-range Ising model in three dimensions
journal, January 2019
- Behan, Connor
- Journal of Physics A: Mathematical and Theoretical, Vol. 52, Issue 7
General bootstrap equations in 4D CFTs
journal, January 2018
- Cuomo, Gabriel Francisco; Karateev, Denis; Kravchuk, Petr
- Journal of High Energy Physics, Vol. 2018, Issue 1
Universal correlation functions in rank 1 SCFTs
journal, December 2019
- Hellerman, Simeon; Maeda, Shunsuke; Orlando, Domenico
- Journal of High Energy Physics, Vol. 2019, Issue 12
Conformal Invariance and Vector Operators in the O(N) Model
journal, October 2019
- De Polsi, Gonzalo; Tissier, Matthieu; Wschebor, Nicolás
- Journal of Statistical Physics, Vol. 177, Issue 6
Harmony of Spinning Conformal Blocks
text, January 2016
- Schomerus, Volker; Sobko, Evgeny; Isachenkov, Mikhail
- Deutsches Elektronen-Synchrotron, DESY, Hamburg
Superintegrability of $d$-Dimensional Conformal Blocks
text, January 2016
- Isachenkov, Mikhail; Schomerus, Volker
- Deutsches Elektronen-Synchrotron, DESY, Hamburg
Harmony of spinning conformal blocks
text, January 2017
- Schomerus, Volker; Sobko, Evgeny; Isachenkov, Mikhail
- Deutsches Elektronen-Synchrotron, DESY, Hamburg
Bootstrapping Mixed Correlators in the 3D Ising Model
text, January 2014
- Kos, Filip; Poland, David; Simmons-Duffin, David
- arXiv
Eikonalization of Conformal Blocks
text, January 2015
- Fitzpatrick, A. Liam; Kaplan, Jared; Walters, Matthew T.
- arXiv
Scaling and superscaling solutions from the functional renormalization group
text, January 2015
- Hellwig, Tobias; Wipf, Andreas; Zanusso, Omar
- arXiv
Emergent O(n) Symmetry in a series of three-dimensional Potts Models
text, January 2015
- Ding, Chengxiang; Bloete, Henk W. J.; Deng, Youjin
- arXiv
Defects in conformal field theory
text, January 2016
- Billò, Marco; Gonçalves, Vasco; Lauria, Edoardo
- arXiv
Deformation quantization and superconformal symmetry in three dimensions
text, January 2016
- Beem, Christopher; Peelaers, Wolfger; Rastelli, Leonardo
- arXiv
Superintegrability of $d$-dimensional Conformal Blocks
text, January 2016
- Isachenkov, Mikhail; Schomerus, Volker
- arXiv
Universal Signatures of Quantum Critical Points from Finite-Size Torus Spectra: A Window into the Operator Content of Higher-Dimensional Conformal Field Theories
text, January 2016
- Schuler, Michael; Whitsitt, Seth; Henry, Louis-Paul
- arXiv
Precision Islands in the Ising and $O(N)$ Models
text, January 2016
- Kos, Filip; Poland, David; Simmons-Duffin, David
- arXiv
A Conformal Truncation Framework for Infinite-Volume Dynamics
text, January 2016
- Katz, Emanuel; Khandker, Zuhair U.; Walters, Matthew T.
- arXiv
Truncatable bootstrap equations in algebraic form and critical surface exponents
text, January 2016
- Gliozzi, Ferdinando
- arXiv
The Effective Bootstrap
preprint, January 2016
- Echeverri, Alejandro Castedo; von Harling, Benedict; Serone, Marco
- arXiv
Conformal Bootstrap in Mellin Space
text, January 2016
- Gopakumar, Rajesh; Kaviraj, Apratim; Sen, Kallol
- arXiv
Harmony of Spinning Conformal Blocks
text, January 2016
- Schomerus, Volker; Sobko, Evgeny; Isachenkov, Mikhail
- arXiv
Chiral phase structure of three flavor QCD at vanishing baryon number density
text, January 2017
- Bazavov, A.; Ding, H. -T.; Hegde, P.
- arXiv
Long-range critical exponents near the short-range crossover
text, January 2017
- Behan, Connor; Rastelli, Leonardo; Rychkov, Slava
- arXiv
Conformal Bootstrap in the Regge Limit
text, January 2017
- Li, Daliang; Meltzer, David; Poland, David
- arXiv
Bootstrapping 3D Fermions with Global Symmetries
text, January 2017
- Iliesiu, Luca; Kos, Filip; Poland, David
- arXiv
Weight Shifting Operators and Conformal Blocks
text, January 2017
- Karateev, Denis; Kravchuk, Petr; Simmons-Duffin, David
- arXiv
The 3d Stress-Tensor Bootstrap
text, January 2017
- Dymarsky, Anatoly; Kos, Filip; Kravchuk, Petr
- arXiv
Dynamic scaling of topological ordering in classical systems
text, January 2017
- Xu, Na; Castelnovo, Claudio; Melko, Roger G.
- arXiv
Anomalous dimensions of spinning operators from conformal symmetry
text, January 2017
- Gliozzi, Ferdinando
- arXiv
The Conformal Bootstrap: Theory, Numerical Techniques, and Applications
text, January 2018
- Poland, David; Rychkov, Slava; Vichi, Alessandro
- arXiv
Bootstrapping Mixed Correlators in Three-Dimensional Cubic Theories
text, January 2018
- Kousvos, Stefanos R.; Stergiou, Andreas
- arXiv
Convergence of Non-Perturbative Approximations to the Renormalization Group
text, January 2019
- Balog, Ivan; Chaté, Hugues; Delamotte, Bertrand
- arXiv
Conformal invariance and vector operators in the $O(N)$ model
text, January 2019
- De Polsi, Gonzalo; Tissier, Matthieu; Wschebor, Nicolás
- arXiv
Superconformal blocks: general theory
journal, January 2020
- Burić, Ilija; Schomerus, Volker; Sobko, Evgeny
- Journal of High Energy Physics, Vol. 2020, Issue 1
Localizing gauge theories on S d
journal, April 2016
- Minahan, Joseph A.
- Journal of High Energy Physics, Vol. 2016, Issue 4
Correlation functions of warped CFT
journal, April 2018
- Song, Wei; Xu, Jianfei
- Journal of High Energy Physics, Vol. 2018, Issue 4
Perturbative 4D conformal field theories and representation theory of diagram algebras
journal, May 2020
- de Mello Koch, Robert; Ramgoolam, Sanjaye
- Journal of High Energy Physics, Vol. 2020, Issue 5
Scalar-fermion analytic bootstrap in 4D
journal, June 2019
- Elkhidir, Emtinan; Karateev, Denis
- Journal of High Energy Physics, Vol. 2019, Issue 6
On Mellin amplitudes in SCFTs with eight supercharges
journal, July 2018
- Zhou, Xinan
- Journal of High Energy Physics, Vol. 2018, Issue 7
Crossing invariant correlation functions at c = 1 from isomonodromic τ functions
journal, November 2019
- Gavrylenko, Pavlo; Santachiara, Raoul
- Journal of High Energy Physics, Vol. 2019, Issue 11
A generalized Nachtmann theorem in CFT
journal, November 2020
- Kundu, Sandipan
- Journal of High Energy Physics, Vol. 2020, Issue 11
Deformation Quantization and Superconformal Symmetry in Three Dimensions
journal, February 2017
- Beem, Christopher; Peelaers, Wolfger; Rastelli, Leonardo
- Communications in Mathematical Physics, Vol. 354, Issue 1
Revisiting the dilatation operator of the Wilson–Fisher fixed point
journal, July 2017
- Liendo, Pedro
- Nuclear Physics B, Vol. 920
An AdS/EFT correspondence at large charge
journal, September 2018
- Loukas, Orestis; Orlando, Domenico; Reffert, Susanne
- Nuclear Physics B, Vol. 934
Remarks on the convergence properties of the conformal block expansion
journal, February 2016
- Rychkov, Slava; Yvernay, Pierre
- Physics Letters B, Vol. 753
Describing phase transitions in field theory by self-similar approximants
journal, January 2019
- Yukalov, V. I.; Yukalova, E. P.
- EPJ Web of Conferences, Vol. 204
Bootstrapping the long-range Ising model in three dimensions
journal, January 2019
- Behan, Connor
- Journal of Physics A: Mathematical and Theoretical, Vol. 52, Issue 7
Upper bound on the mass anomalous dimension in many-flavor gauge theories: a conformal bootstrap approach
journal, May 2016
- Iha, Hisashi; Makino, Hiroki; Suzuki, Hiroshi
- Progress of Theoretical and Experimental Physics, Vol. 2016, Issue 5
The ϵ-expansion of the codimension two twist defect from conformal field theory
journal, September 2016
- Yamaguchi, Satoshi
- Progress of Theoretical and Experimental Physics, Vol. 2016, Issue 9
Yukawa conformal field theories and emergent supersymmetry
journal, November 2016
- Fei, Lin; Giombi, Simone; Klebanov, Igor R.
- Progress of Theoretical and Experimental Physics, Vol. 2016, Issue 12
Dimensional reduction by conformal bootstrap
journal, August 2019
- Hikami, Shinobu
- Progress of Theoretical and Experimental Physics, Vol. 2019, Issue 8
Self-avoiding walk, spin systems and renormalization
journal, January 2019
- Slade, Gordon
- Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 475, Issue 2221
Operator mixing in the
ε
-expansion: Scheme and evanescent-operator independence
journal, March 2018
- Di Pietro, Lorenzo; Stamou, Emmanuel
- Physical Review D, Vol. 97, Issue 6
Unitarity violation in noninteger dimensional Gross-Neveu-Yukawa model
journal, May 2018
- Ji, Yao; Kelly, Michael
- Physical Review D, Vol. 97, Issue 10
Scaling solutions in the derivative expansion
journal, July 2018
- Defenu, N.; Codello, A.
- Physical Review D, Vol. 98, Issue 1
Harmony of spinning conformal blocks
text, January 2017
- Schomerus, Volker; Sobko, Evgeny; Isachenkov, Mikhail
- Deutsches Elektronen-Synchrotron, DESY, Hamburg
Harmonic Analysis in d-dimensional Superconformal Field Theory
text, January 2021
- Buric, Ilija
- Deutsches Elektronen-Synchrotron, DESY, Hamburg
Emergent black hole physics from conformal field theory thermodynamics
dissertation, October 2019
- Vos, Gideon
- University of Groningen
Bootstrapping Mixed Correlators in the 3D Ising Model
text, January 2014
- Kos, Filip; Poland, David; Simmons-Duffin, David
- arXiv
Bounds on OPE Coefficients in 4D Conformal Field Theories
text, January 2014
- Caracciolo, Francesco; Echeverri, Alejandro Castedo; von Harling, Benedict
- arXiv
Conformal Bootstrap Approach to O(N) Fixed Points in Five Dimensions
preprint, January 2014
- Bae, Jin-Beom; Rey, Soo-Jong
- arXiv
The ${\mathcal N}=2$ superconformal bootstrap
text, January 2014
- Beem, Christopher; Lemos, Madalena; Liendo, Pedro
- arXiv
Boundary and Interface CFTs from the Conformal Bootstrap
text, January 2015
- Gliozzi, F.; Liendo, P.; Meineri, M.
- arXiv
Bootstrapping the O(N) Archipelago
text, January 2015
- Kos, Filip; Poland, David; Simmons-Duffin, David
- arXiv
The $(2,0)$ superconformal bootstrap
text, January 2015
- Beem, Christopher; Lemos, Madalena; Rastelli, Leonardo
- arXiv
Universal Bounds on Operator Dimensions in General 2D Conformal Field Theories
preprint, January 2015
- Qualls, Joshua D.
- arXiv
Conformal Invariance in the Long-Range Ising Model
text, January 2015
- Paulos, Miguel F.; Rychkov, Slava; van Rees, Balt C.
- arXiv
Stress-tensor OPE in N=2 Superconformal Theories
text, January 2015
- Liendo, Pedro; Ramirez, Israel; Seo, Jihye
- arXiv
Axiomatic conformal theory in dimensions >2 and AdS/CT correspondence
text, January 2015
- Schwarz, Albert
- arXiv
Functional renormalization group approach to non-collinear magnets
text, January 2015
- Delamotte, B.; Dudka, M.; Mouhanna, D.
- arXiv
Conformal Collider Physics from the Lightcone Bootstrap
text, January 2015
- Li, Daliang; Meltzer, David; Poland, David
- arXiv
Precision Islands in the Ising and $O(N)$ Models
text, January 2016
- Kos, Filip; Poland, David; Simmons-Duffin, David
- arXiv
The Effective Bootstrap
preprint, January 2016
- Echeverri, Alejandro Castedo; von Harling, Benedict; Serone, Marco
- arXiv
3d $\mathcal{N}=2$ minimal SCFTs from Wrapped M5-branes
text, January 2016
- Bae, Jin-Beom; Gang, Dongmin; Lee, Jaehoon
- arXiv
Generalized Wilson-Fisher critical points from the conformal OPE
text, January 2016
- Gliozzi, Ferdinando; Guerrieri, Andrea; Petkou, Anastasios C.
- arXiv
The Lightcone Bootstrap and the Spectrum of the 3d Ising CFT
text, January 2016
- Simmons-Duffin, David
- arXiv
The 3d Stress-Tensor Bootstrap
text, January 2017
- Dymarsky, Anatoly; Kos, Filip; Kravchuk, Petr
- arXiv
An appetizer to modern developments on the Kardar-Parisi-Zhang universality class
text, January 2017
- Takeuchi, Kazumasa A.
- arXiv
Spheres, Charges, Instantons, and Bootstrap: A Five-Dimensional Odyssey
text, January 2017
- Chang, Chi-Ming; Fluder, Martin; Lin, Ying-Hsuan
- arXiv
Dynamic scaling of topological ordering in classical systems
text, January 2017
- Xu, Na; Castelnovo, Claudio; Melko, Roger G.
- arXiv
New method for the conformal bootstrap with OPE truncations
preprint, January 2017
- Li, Wenliang
- arXiv
Observables in Inhomogeneous Ground States at Large Global Charge
text, January 2018
- Hellerman, Simeon; Kobayashi, Nozomu; Maeda, Shunsuke
- arXiv
Pushing the Limits of Monte Carlo Simulations for the 3d Ising Model
text, January 2018
- Ferrenberg, Alan M.; Xu, Jiahao; Landau, David P.
- arXiv
Conformal Bootstrap Signatures of the Tricritical Ising Universality Class
text, January 2018
- Gowdigere, Chethan N.; Santara, Jagannath
- arXiv
Closed-form expression for cross-channel conformal blocks near the lightcone
text, January 2019
- Li, Wenliang
- arXiv
Convergence of Non-Perturbative Approximations to the Renormalization Group
text, January 2019
- Balog, Ivan; Chaté, Hugues; Delamotte, Bertrand
- arXiv
Introduction to a renormalisation group method
text, January 2019
- Bauerschmidt, Roland; Brydges, David C.; Slade, Gordon
- arXiv
Scaling the semidefinite program solver SDPB
preprint, January 2019
- Landry, Walter; Simmons-Duffin, David
- arXiv
Boundary conformal field theory at the extraordinary transition: The layer susceptibility to $O(\varepsilon)$
text, January 2019
- Shpot, M. A.
- arXiv
Precise Critical Exponents of the O(N)-Symmetric Quantum field Model using Hypergeometric-Meijer Resummation
text, January 2020
- Shalaby, Abouzeid M.
- arXiv
Classification of Convergent OPE Channels for Lorentzian CFT Four-Point Functions
text, January 2020
- Qiao, Jiaxin
- arXiv
Bootstrapping Coulomb and Higgs branch operators
text, January 2020
- Gimenez-Grau, Aleix; Liendo, Pedro
- arXiv
An Automated Generation of Bootstrap Equations for Numerical Study of Critical Phenomena
preprint, January 2020
- Go, Mocho
- arXiv
Long-range multi-scalar models at three loops
text, January 2020
- Benedetti, Dario; Gurau, Razvan; Harribey, Sabine
- arXiv
Energy trapped Ising model
text, January 2020
- Amoretti, Andrea; Costagliola, Gianluca; Magnoli, Nicodemo
- arXiv
Bootstrap and Amplitudes: A Hike in the Landscape of Quantum Field Theory
text, January 2020
- Elvang, Henriette
- arXiv
Recursive construction of the operator product expansion in curved space
text, January 2020
- Fröb, Markus B.
- arXiv
Bootstrapping boundary-localized interactions
text, January 2020
- Behan, Connor; Di Pietro, Lorenzo; Lauria, Edoardo
- arXiv
blocks_3d: Software for general 3d conformal blocks
text, January 2020
- Erramilli, Rajeev S.; Iliesiu, Luca V.; Kravchuk, Petr
- arXiv
A CFT Distance Conjecture
text, January 2020
- Perlmutter, Eric; Rastelli, Leonardo; Vafa, Cumrun
- arXiv