Conformal Dimensions via Large Charge Expansion
Abstract
We construct an efficient Monte Carlo algorithm that overcomes the severe signal-to-noise ratio problems and helps us to accurately compute the conformal dimensions of large-Q fields at the Wilson-Fisher fixed point in the O(2) universality class. Using it, we verify a recent proposal that conformal dimensions of strongly coupled conformal field theories with a global U(1) charge can be obtained via a series expansion in the inverse charge 1/Q . We find that the conformal dimensions of the lowest operator with a fixed charge Q are almost entirely determined by the first few terms in the series
- Authors:
- Publication Date:
- Research Org.:
- Duke Univ., Durham, NC (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Nuclear Physics (NP)
- OSTI Identifier:
- 1420013
- Alternate Identifier(s):
- OSTI ID: 1502073
- Grant/Contract Number:
- FG02-05ER41368
- Resource Type:
- Published Article
- Journal Name:
- Physical Review Letters
- Additional Journal Information:
- Journal Name: Physical Review Letters Journal Volume: 120 Journal Issue: 6; Journal ID: ISSN 0031-9007
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Citation Formats
Banerjee, Debasish, Chandrasekharan, Shailesh, and Orlando, Domenico. Conformal Dimensions via Large Charge Expansion. United States: N. p., 2018.
Web. doi:10.1103/PhysRevLett.120.061603.
Banerjee, Debasish, Chandrasekharan, Shailesh, & Orlando, Domenico. Conformal Dimensions via Large Charge Expansion. United States. https://doi.org/10.1103/PhysRevLett.120.061603
Banerjee, Debasish, Chandrasekharan, Shailesh, and Orlando, Domenico. Fri .
"Conformal Dimensions via Large Charge Expansion". United States. https://doi.org/10.1103/PhysRevLett.120.061603.
@article{osti_1420013,
title = {Conformal Dimensions via Large Charge Expansion},
author = {Banerjee, Debasish and Chandrasekharan, Shailesh and Orlando, Domenico},
abstractNote = {We construct an efficient Monte Carlo algorithm that overcomes the severe signal-to-noise ratio problems and helps us to accurately compute the conformal dimensions of large-Q fields at the Wilson-Fisher fixed point in the O(2) universality class. Using it, we verify a recent proposal that conformal dimensions of strongly coupled conformal field theories with a global U(1) charge can be obtained via a series expansion in the inverse charge 1/Q . We find that the conformal dimensions of the lowest operator with a fixed charge Q are almost entirely determined by the first few terms in the series},
doi = {10.1103/PhysRevLett.120.061603},
journal = {Physical Review Letters},
number = 6,
volume = 120,
place = {United States},
year = {Fri Feb 09 00:00:00 EST 2018},
month = {Fri Feb 09 00:00:00 EST 2018}
}
Free Publicly Available Full Text
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https://doi.org/10.1103/PhysRevLett.120.061603
https://doi.org/10.1103/PhysRevLett.120.061603
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Cited by: 58 works
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Figures / Tables:
FIG. 1. : Plot of the values of D(Q) extracted from our Monte Carlo calculations at the O(2) WF fixed point, along with the plot of Eq. (1) (solid line) with our estimated values c3/2 = 1.195 and c1/2 = 0.075 and previously computed value c0 = −0.094. It ismore »
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Works referenced in this record:
Spectrum of the Wilson-Fisher conformal field theory on the torus
journal, July 2017
- Whitsitt, Seth; Schuler, Michael; Henry, Louis-Paul
- Physical Review B, Vol. 96, Issue 3
Finite size effects in the presence of a chemical potential: A study in the classical nonlinear sigma model
journal, June 2010
- Banerjee, Debasish; Chandrasekharan, Shailesh
- Physical Review D, Vol. 81, Issue 12
Bootstrapping the O(N) archipelago
journal, November 2015
- Kos, Filip; Poland, David; Simmons-Duffin, David
- Journal of High Energy Physics, Vol. 2015, Issue 11
The specific heat of thin films near the λ-transition: a Monte Carlo study of an improved three-dimensional lattice model
journal, October 2009
- Hasenbusch, Martin
- Journal of Statistical Mechanics: Theory and Experiment, Vol. 2009, Issue 10
Scale and conformal invariance in quantum field theory
journal, June 1988
- Polchinski, Joseph
- Nuclear Physics B, Vol. 303, Issue 2
Abelian scalar theory at large global charge: Abelian scalar theory at large global charge
journal, May 2017
- Loukas, Orestis
- Fortschritte der Physik, Vol. 65, Issue 9
Conformal invariance and universality in finite-size scaling
journal, May 1984
- Cardy, J. L.
- Journal of Physics A: Mathematical and General, Vol. 17, Issue 7
The Large-N Limit of Superconformal Field Theories and Supergravity
journal, January 1999
- Maldacena, Juan
- International Journal of Theoretical Physics, Vol. 38, Issue 4, p. 1113-1133
Semiclassics, Goldstone bosons and CFT data
journal, June 2017
- Monin, A.; Pirtskhalava, D.; Rattazzi, R.
- Journal of High Energy Physics, Vol. 2017, Issue 6
Compensating strong coupling with large charge
journal, April 2017
- Alvarez-Gaume, Luis; Loukas, Orestis; Orlando, Domenico
- Journal of High Energy Physics, Vol. 2017, Issue 4
High-precision Monte Carlo study of the 3D XY -universality class
journal, August 1999
- Hasenbusch, M.; Török, T.
- Journal of Physics A: Mathematical and General, Vol. 32, Issue 36
Critical phenomena and renormalization-group theory
journal, October 2002
- Pelissetto, Andrea; Vicari, Ettore
- Physics Reports, Vol. 368, Issue 6
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
Third-harmonic exponent in three-dimensional N -vector models
journal, September 2003
- De Prato, Martino; Pelissetto, Andrea; Vicari, Ettore
- Physical Review B, Vol. 68, Issue 9
Anisotropic perturbations in three-dimensional O( )-symmetric vector models
journal, September 2011
- Hasenbusch, Martin; Vicari, Ettore
- Physical Review B, Vol. 84, Issue 12
The large $N$ limit of superconformal field theories and supergravity
journal, January 1998
- Maldacena, Juan
- Advances in Theoretical and Mathematical Physics, Vol. 2, Issue 2
Surface and bulk transitions in three-dimensional models
journal, July 2005
- Deng, Youjin; Blöte, Henk W. J.; Nightingale, M. P.
- Physical Review E, Vol. 72, Issue 1
A Monte Carlo study of the three-dimensional XY universality class: universal amplitude ratios
journal, December 2008
- Hasenbusch, Martin
- Journal of Statistical Mechanics: Theory and Experiment, Vol. 2008, Issue 12
Collective Monte Carlo Updating for Spin Systems
journal, January 1989
- Wolff, Ulli
- Physical Review Letters, Vol. 62, Issue 4
Critical behavior of the three-dimensional universality class
journal, May 2001
- Campostrini, Massimo; Hasenbusch, Martin; Pelissetto, Andrea
- Physical Review B, Vol. 63, Issue 21
-component Ginzburg-Landau Hamiltonian with cubic anisotropy: A six-loop study
journal, June 2000
- Manuel Carmona, José; Pelissetto, Andrea; Vicari, Ettore
- Physical Review B, Vol. 61, Issue 22
On the CFT operator spectrum at large global charge
journal, December 2015
- Hellerman, Simeon; Orlando, Domenico; Reffert, Susanne
- Journal of High Energy Physics, Vol. 2015, Issue 12
Operator dimensions from moduli
journal, October 2017
- Hellerman, Simeon; Maeda, Shunsuke; Watanabe, Masataka
- Journal of High Energy Physics, Vol. 2017, Issue 10
Matrix models at large charge
journal, October 2017
- Loukas, Orestis; Orlando, Domenico; Reffert, Susanne
- Journal of High Energy Physics, Vol. 2017, Issue 10
Theoretical estimates of the critical exponents of the superfluid transition in by lattice methods
journal, October 2006
- Campostrini, Massimo; Hasenbusch, Martin; Pelissetto, Andrea
- Physical Review B, Vol. 74, Issue 14
Universal Signatures of Quantum Critical Points from Finite-Size Torus Spectra: A Window into the Operator Content of Higher-Dimensional Conformal Field Theories
journal, November 2016
- Schuler, Michael; Whitsitt, Seth; Henry, Louis-Paul
- Physical Review Letters, Vol. 117, Issue 21
Universal amplitudes in finite-size scaling: generalisation to arbitrary dimensionality
journal, September 1985
- Cardy, J. L.
- Journal of Physics A: Mathematical and General, Vol. 18, Issue 13
Critical exponents and equation of state of the three-dimensional Heisenberg universality class
journal, April 2002
- Campostrini, Massimo; Hasenbusch, Martin; Pelissetto, Andrea
- Physical Review B, Vol. 65, Issue 14
Partition function on spheres: How to use zeta function regularization
journal, October 2016
- Monin, Alexander
- Physical Review D, Vol. 94, Issue 8
General coordinate invariance and conformal invariance in nonrelativistic physics: Unitary Fermi gas
journal, January 2006
- Son, D. T.; Wingate, M.
- Annals of Physics, Vol. 321, Issue 1
Multicritical phenomena in -symmetric theories
journal, February 2003
- Calabrese, Pasquale; Pelissetto, Andrea; Vicari, Ettore
- Physical Review B, Vol. 67, Issue 5
Critical Casimir force and its fluctuations in lattice spin models: Exact and Monte Carlo results
journal, April 2004
- Dantchev, Daniel; Krech, Michael
- Physical Review E, Vol. 69, Issue 4
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