Long-range fermions and critical dualities

Chai, Noam; Chakraborty, Soumangsu; Goykhman, Mikhail; Sinha, Ritam

doi:10.1007/jhep01(2022)172

Title: Long-range fermions and critical dualities

Journal Article · 27 January 2022 · Journal of High Energy Physics (Online)

DOI: https://doi.org/10.1007/jhep01(2022)172 · OSTI ID:1905301

^[1]; Chakraborty, Soumangsu ^[2]; Goykhman, Mikhail ^[3]; Sinha, Ritam ^[4]

Hebrew Univ. of Jerusalem (Israel); University of Minnesota
Tata Inst. of Fundamental Research, Mumbai (India)
Univ. of Minnesota, Minneapolis, MN (United States)
Hebrew Univ. of Jerusalem (Israel)

We construct long-range fermionic models with the Gross-Neveu and GrossNeveu-Yukawa interaction, and argue that their critical regimes are equivalent. To this end, we calculate various CFT data in ϵ- and 1/N-expansion, and demonstrate their agreement in the overlapping regimes of validity.

View Accepted Manuscript (DOE)

Cite

Export

Save

Research Organization:: Univ. of Minnesota, Minneapolis, MN (United States)

Sponsoring Organization:: Binational Science Foundation; Israel Planning and Budgeting Committee; Israeli Science Foundation; USDOE

Grant/Contract Number:: SC0011842

OSTI ID:: 1905301

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 1 Vol. 2022; ISSN 1029-8479

Publisher:: Springer NatureCopyright Statement

Country of Publication:: United States

Language:: English

References (45)

Conserved Currents, Consistency Relations, and Operator Product Expansions in the Conformally InvariantO(N) Vector Model Petkou, Anastasios Annals of Physics, Vol. 249, Issue 1 https://doi.org/10.1006/aphy.1996.0068	journal	July 1996
Critical exponents for long-range interactions Aizenman, Michael; Fern�ndez, Roberto Letters in Mathematical Physics, Vol. 16, Issue 1 https://doi.org/10.1007/BF00398169	journal	July 1988
Analog of dimensional regularization for calculation of the renormalization-group functions in the 1/n expansion for arbitrary dimension of space Vasil'ev, A. N.; Nalimov, M. Yu. Theoretical and Mathematical Physics, Vol. 55, Issue 2 https://doi.org/10.1007/BF01015800	journal	May 1983
1/n Expansion: Calculation of the exponents ? and? in the order 1/n2 for arbitrary number of dimensions Vasil'ev, A. N.; Pis'mak, Yu. M.; Khonkonen, Yu. R. Theoretical and Mathematical Physics, Vol. 47, Issue 3 https://doi.org/10.1007/BF01019296	journal	June 1981
Simple method of calculating the critical indices in the 1/n expansion Vasil'ev, A. N.; Pis'mak, Yu. M.; Khonkonen, Yu. R. Theoretical and Mathematical Physics, Vol. 46, Issue 2 https://doi.org/10.1007/BF01030844	journal	February 1981
Existence of a phase-transition in a one-dimensional Ising ferromagnet Dyson, Freeman J. Communications in Mathematical Physics, Vol. 12, Issue 2 https://doi.org/10.1007/BF01645907	journal	June 1969
Theoretical predictions for critical exponents at the λ-point of bose liquids D'eramo, M.; Peliti, L.; Parisi, G. Lettere Al Nuovo Cimento Series 2, Vol. 2, Issue 17 https://doi.org/10.1007/BF02774121	journal	October 1971
On calculations in conformal invariant field theories Symanzik, K. Lettere al Nuovo Cimento, Vol. 3, Issue 18 https://doi.org/10.1007/BF02824349	journal	April 1972
Higher-spin currents in the Gross-Neveu model at 1/n2 Manashov, A. N.; Skvortsov, E. D. Journal of High Energy Physics, Vol. 2017, Issue 1 https://doi.org/10.1007/JHEP01(2017)132	journal	January 2017
Gentle introduction to rigorous Renormalization Group: a worked fermionic example Giuliani, Alessandro; Mastropietro, Vieri; Rychkov, Slava Journal of High Energy Physics, Vol. 2021, Issue 1 https://doi.org/10.1007/JHEP01(2021)026	journal	January 2021
The background field method and critical vector models Goykhman, Mikhail; Rosenhaus, Vladimir; Smolkin, Michael Journal of High Energy Physics, Vol. 2021, Issue 2 https://doi.org/10.1007/JHEP02(2021)074	journal	February 2021
The bi-conical vector model at 1/N Chai, Noam; Rabinovici, Eliezer; Sinha, Ritam Journal of High Energy Physics, Vol. 2021, Issue 5 https://doi.org/10.1007/JHEP05(2021)192	journal	May 2021
O(N) models with boundary interactions and their long range generalizations Giombi, Simone; Khanchandani, Himanshu Journal of High Energy Physics, Vol. 2020, Issue 8 https://doi.org/10.1007/JHEP08(2020)010	journal	August 2020
Critical Sp(N ) models in 6 − ϵ dimensions and higher spin dS/CFT Fei, Lin; Giombi, Simone; Klebanov, Igor R. Journal of High Energy Physics, Vol. 2015, Issue 9 https://doi.org/10.1007/JHEP09(2015)076	journal	September 2015
Long-range vector models at large N Chai, Noam; Goykhman, Mikhail; Sinha, Ritam Journal of High Energy Physics, Vol. 2021, Issue 9 https://doi.org/10.1007/JHEP09(2021)194	journal	September 2021
Critical long-range vector model in the UV Chakraborty, Soumangsu; Goykhman, Mikhail Journal of High Energy Physics, Vol. 2021, Issue 10 https://doi.org/10.1007/JHEP10(2021)151	journal	October 2021
O(N) and O(N) and O(N) Gubser, Steven S.; Jepsen, Christian; Parikh, Sarthak Journal of High Energy Physics, Vol. 2017, Issue 11 https://doi.org/10.1007/JHEP11(2017)107	journal	November 2017
Critical (?4)3,? Brydges, D. C.; Mitter, P. K.; Scoppola, B. Communications in Mathematical Physics, Vol. 240, Issue 1-2 https://doi.org/10.1007/s00220-003-0895-4	journal	September 2003
A Complete Renormalization Group Trajectory Between Two Fixed Points Abdesselam, Abdelmalek Communications in Mathematical Physics, Vol. 276, Issue 3 https://doi.org/10.1007/s00220-007-0352-x	journal	October 2007
Critical Exponents for Long-Range $${O(n)}$$ O ( n ) Models Below the Upper Critical Dimension Slade, Gordon Communications in Mathematical Physics, Vol. 358, Issue 1 https://doi.org/10.1007/s00220-017-3024-5	journal	November 2017
The Crossover Region Between Long-Range and Short-Range Interactions for the Critical Exponents Brezin, E.; Parisi, G.; Ricci-Tersenghi, F. Journal of Statistical Physics, Vol. 157, Issue 4-5 https://doi.org/10.1007/s10955-014-1081-0	journal	August 2014
CT and CJ up to next-to-leading order in in the conformally invariant O(N) vector model for 2 < d < 4 Petkou, Anastasios C. Physics Letters B, Vol. 359, Issue 1-2 https://doi.org/10.1016/0370-2693(95)00936-F	journal	October 1995
The theory of non-renormalizable interactions Parisi, G. Nuclear Physics B, Vol. 100, Issue 2 https://doi.org/10.1016/0550-3213(75)90624-0	journal	December 1975
Four-fermion interaction near four dimensions Zinn-Justin, J. Nuclear Physics B, Vol. 367, Issue 1 https://doi.org/10.1016/0550-3213(91)90043-W	journal	December 1991
Quantum field theory in the large N limit: a review Moshe, Moshe; Zinn-Justin, Jean Physics Reports, Vol. 385, Issue 3-6 https://doi.org/10.1016/S0370-1573(03)00263-1	journal	October 2003
Computation of quark mass anomalous dimension at O(1/Nf2) in quantum chromodynamics Ciuchini, M.; Derkachov, S. É.; Gracey, J. A. Nuclear Physics B, Vol. 579, Issue 1-2 https://doi.org/10.1016/S0550-3213(00)00209-1	journal	July 2000
A universal result on central charges in the presence of double-trace deformations Gubser, Steven S.; Klebanov, Igor R. Nuclear Physics B, Vol. 656, Issue 1-2 https://doi.org/10.1016/S0550-3213(03)00056-7	journal	April 2003
Conformal invariance in the long-range Ising model Paulos, Miguel F.; Rychkov, Slava; van Rees, Balt C. Nuclear Physics B, Vol. 902 https://doi.org/10.1016/j.nuclphysb.2015.10.018	journal	January 2016
A scaling theory for the long-range to short-range crossover and an infrared duality Behan, Connor; Rastelli, Leonardo; Rychkov, Slava Journal of Physics A: Mathematical and Theoretical, Vol. 50, Issue 35 https://doi.org/10.1088/1751-8121/aa8099	journal	August 2017
Bootstrapping the long-range Ising model in three dimensions Behan, Connor Journal of Physics A: Mathematical and Theoretical, Vol. 52, Issue 7 https://doi.org/10.1088/1751-8121/aafd1b	journal	January 2019
Long-range multi-scalar models at three loops Benedetti, Dario; Gurau, Razvan; Harribey, Sabine Journal of Physics A: Mathematical and Theoretical, Vol. 53, Issue 44 https://doi.org/10.1088/1751-8121/abb6ae	journal	October 2020
Low-temperature renormalization group for ferromagnets with long-range interactions Sak, J. Physical Review B, Vol. 15, Issue 9 https://doi.org/10.1103/PhysRevB.15.4344	journal	May 1977
Recursion Relations and Fixed Points for Ferromagnets with Long-Range Interactions Sak, J. Physical Review B, Vol. 8, Issue 1 https://doi.org/10.1103/PhysRevB.8.281	journal	July 1973
Dynamical symmetry breaking in asymptotically free field theories Gross, David J.; Neveu, André Physical Review D, Vol. 10, Issue 10 https://doi.org/10.1103/PhysRevD.10.3235	journal	November 1974
Vector model in various dimensions Goykhman, Mikhail; Smolkin, Michael Physical Review D, Vol. 102, Issue 2 https://doi.org/10.1103/PhysRevD.102.025003	journal	July 2020
Thermal order in conformal theories Chai, Noam; Chaudhuri, Soumyadeep; Choi, Changha Physical Review D, Vol. 102, Issue 6 https://doi.org/10.1103/PhysRevD.102.065014	journal	September 2020
Four loop renormalization of ϕ 3 theory in six dimensions Gracey, J. A. Physical Review D, Vol. 92, Issue 2 https://doi.org/10.1103/PhysRevD.92.025012	journal	July 2015
Long-Range Critical Exponents near the Short-Range Crossover Behan, Connor; Rastelli, Leonardo; Rychkov, Slava Physical Review Letters, Vol. 118, Issue 24 https://doi.org/10.1103/PhysRevLett.118.241601	journal	June 2017
Model of Persistent Breaking of Discrete Symmetry Chai, Noam; Dymarsky, Anatoly; Smolkin, Michael Physical Review Letters, Vol. 128, Issue 1 https://doi.org/10.1103/PhysRevLett.128.011601	journal	January 2022
Critical Exponents in 3.99 Dimensions Wilson, Kenneth G.; Fisher, Michael E. Physical Review Letters, Vol. 28, Issue 4 https://doi.org/10.1103/PhysRevLett.28.240	journal	January 1972
Phase Transitions in Long-Range Ferromagnetic Chains Kosterlitz, J. M. Physical Review Letters, Vol. 37, Issue 23 https://doi.org/10.1103/PhysRevLett.37.1577	journal	December 1976
Correction exponents in the Gross–Neveu–Yukawa model at $$1/N^2$$ 1 / N 2 Manashov, Alexander N.; Strohmaier, Matthias The European Physical Journal C, Vol. 78, Issue 6 https://doi.org/10.1140/epjc/s10052-018-5902-1	journal	June 2018
STR: A Mathematica package for the method of uniqueness Preti, Michelangelo International Journal of Modern Physics C, Vol. 31, Issue 10 https://doi.org/10.1142/S0129183120501466	journal	September 2020
CALCULATION OF EXPONENT η TO O(1/N²) IN THE O(N) GROSS NEVEU MODEL Gracey, J. A. International Journal of Modern Physics A, Vol. 06, Issue 03 https://doi.org/10.1142/S0217751X91000241	journal	January 1991
3d large $N$ vector models at the boundary Di Pietro, Lorenzo; Lauria, Edoardo; Niro, Pierluigi SciPost Physics, Vol. 11, Issue 3 https://doi.org/10.21468/SciPostPhys.11.3.050	journal	September 2021

Similar Records

Bootstrapping 3D fermions with global symmetries

Journal Article · 2018 · Journal of High Energy Physics (Online) · OSTI ID:1494081

Iliesiu, Luca; Kos, Filip; Poland, David; +2 more

Fermion-bag inspired Hamiltonian lattice field theory for fermionic quantum criticality

Journal Article · 2020 · Physical Review. D. · OSTI ID:1800275

Huffman, Emilie; Chandrasekharan, Shailesh

Universal Prethermal Dynamics in Gross-Neveu-Yukawa Criticality

Journal Article · 2019 · Physical Review Letters · OSTI ID:1803191

Jian, Shao-Kai; Yin, Shuai; Swingle, Brian

Related Subjects

1/N Expansion
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Conformal Field Theory
Global Symmetries
Nonperturbative Effects

Title: Long-range fermions and critical dualities

Citation Formats

References (45)

Similar Records

Related Subjects