Areas of planar loops, coarsening and the TT¯ deformation

Cardy, John

doi:10.1088/1751-8121/ac71ea

Areas of planar loops, coarsening and the TT¯ deformation

Journal Article · 07 June 2022 · Journal of Physics. A, Mathematical and Theoretical

DOI:https://doi.org/10.1088/1751-8121/ac71ea· OSTI ID:1982483

Abstract

We recall the origins of the law of the distribution of areas contained within domain wall loops in critical 2D models, and its evolution under a thermal quench to the ordered phase. We conjecture that the latter is described by the so-called $T \bar{T}$ deformation of the critical model.

Research Organization:: National Quantum Information Science (QIS) Research Centers (United States). The Quantum Science Center (QSC); Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States). Quantum Science Center (QSC)

Sponsoring Organization:: USDOE

DOE Contract Number:: AC05-00OR22725;

OSTI ID:: 1982483

Journal Information:: Journal of Physics. A, Mathematical and Theoretical, Journal Name: Journal of Physics. A, Mathematical and Theoretical Journal Issue: 26 Vol. 55; ISSN 1751-8113

Publisher:: IOP Publishing

Country of Publication:: United States

Language:: English

References (23)

The T T ¯ $$ \mathrm{T}\overline{\mathrm{T}} $$ perturbation and its geometric interpretation Conti, Riccardo; Negro, Stefano; Tateo, Roberto Journal of High Energy Physics, Vol. 2019, Issue 2 https://doi.org/10.1007/JHEP02(2019)085	journal	February 2019
Moving the CFT into the bulk with T T ¯ $$ T\overline{T} $$ McGough, Lauren; Mezei, Márk; Verlinde, Herman Journal of High Energy Physics, Vol. 2018, Issue 4 https://doi.org/10.1007/JHEP04(2018)010	journal	April 2018
T T ¯ $$ T\overline{T} $$ partition function from topological gravity Dubovsky, Sergei; Gorbenko, Victor; Hernández-Chifflet, Guzmán Journal of High Energy Physics, Vol. 2018, Issue 9 https://doi.org/10.1007/jhep09(2018)158	journal	September 2018
T T ¯ $$ \mathrm{T}\overline{\mathrm{T}} $$ -deformed 2D quantum field theories Cavaglià, Andrea; Negro, Stefano; Szécsényi, István M. Journal of High Energy Physics, Vol. 2016, Issue 10 https://doi.org/10.1007/jhep10(2016)112	journal	October 2016
The T T ¯ $$ T\overline{T} $$ deformation of quantum field theory as random geometry Cardy, John Journal of High Energy Physics, Vol. 2018, Issue 10 https://doi.org/10.1007/jhep10(2018)186	journal	October 2018
Conformal Radii for Conformal Loop Ensembles Schramm, Oded; Sheffield, Scott; Wilson, David B. Communications in Mathematical Physics, Vol. 288, Issue 1 https://doi.org/10.1007/s00220-009-0731-6	journal	February 2009
A central limit theorem for “critical” first-passage percolation in two dimensions Kesten, Harry; Zhang, Yu Probability Theory and Related Fields, Vol. 107, Issue 2 https://doi.org/10.1007/s004400050080	journal	February 1997
A microscopic theory for antiphase boundary motion and its application to antiphase domain coarsening Allen, Samuel M.; Cahn, John W. Acta Metallurgica, Vol. 27, Issue 6 https://doi.org/10.1016/0001-6160(79)90196-2	journal	June 1979
Critically branched chains and percolation clusters Alexandrowicz, Z. Physics Letters A, Vol. 80, Issue 4 https://doi.org/10.1016/0375-9601(80)90023-7	journal	December 1980
Finite-size dependence of the free energy in two-dimensional critical systems Cardy, John L.; Peschel, Ingo Nuclear Physics B, Vol. 300 https://doi.org/10.1016/0550-3213(88)90604-9	journal	January 1988
On space of integrable quantum field theories Smirnov, F. A.; Zamolodchikov, A. B. Nuclear Physics B, Vol. 915 https://doi.org/10.1016/j.nuclphysb.2016.12.014	journal	February 2017
Critical percolation in the plane: conformal invariance, Cardy's formula, scaling limits Smirnov, Stanislav Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, Vol. 333, Issue 3 https://doi.org/10.1016/s0764-4442(01)01991-7	journal	August 2001
Theory of phase-ordering kinetics Bray, A. J. Advances in Physics, Vol. 43, Issue 3 https://doi.org/10.1080/00018739400101505	journal	June 1994
Critical percolation in finite geometries Cardy, J. L. Journal of Physics A: Mathematical and General, Vol. 25, Issue 4 https://doi.org/10.1088/0305-4470/25/4/009	journal	February 1992
Cluster size and boundary distribution near percolation threshold Leath, P. L. Physical Review B, Vol. 14, Issue 11 https://doi.org/10.1103/physrevb.14.5046	journal	December 1976
Directed and diode percolation Redner, S. Physical Review B, Vol. 25, Issue 5 https://doi.org/10.1103/physrevb.25.3242	journal	March 1982
Domain growth morphology in curvature-driven two-dimensional coarsening Sicilia, Alberto; Arenzon, Jeferson J.; Bray, Alan J. Physical Review E, Vol. 76, Issue 6 https://doi.org/10.1103/physreve.76.061116	journal	December 2007
Geometry of phase separation Sicilia, Alberto; Sarrazin, Yoann; Arenzon, Jeferson J. Physical Review E, Vol. 80, Issue 3 https://doi.org/10.1103/physreve.80.031121	journal	September 2009
Crossover from isotropic to directed percolation Zhou, Zongzheng; Yang, Ji; Ziff, Robert M. Physical Review E, Vol. 86, Issue 2 https://doi.org/10.1103/physreve.86.021102	journal	August 2012
Percolation on an isotropically directed lattice de Noronha, Aurelio W. T.; Moreira, André A.; Vieira, André P. Physical Review E, Vol. 98, Issue 6 https://doi.org/10.1103/physreve.98.062116	journal	December 2018
Exact Results for Curvature-Driven Coarsening in Two Dimensions Arenzon, Jeferson J.; Bray, Alan J.; Cugliandolo, Leticia F. Physical Review Letters, Vol. 98, Issue 14 https://doi.org/10.1103/physrevlett.98.145701	journal	April 2007
Geometric properties of two-dimensional coarsening with weak disorder Sicilia, A.; Arenzon, J. J.; Bray, A. J. EPL (Europhysics Letters), Vol. 82, Issue 1 https://doi.org/10.1209/0295-5075/82/10001	journal	March 2008
Exploration trees and conformal loop ensembles Sheffield, Scott Duke Mathematical Journal, Vol. 147, Issue 1 https://doi.org/10.1215/00127094-2009-007	journal	March 2009

Similar Records

$T\bar{T}$ in JT Gravity and BF Gauge Theory

Journal Article · 2022 · SciPost Physics · OSTI ID:1892120

Thermal partition function of $$ {J}_3{\overline{J}}_3 $$ deformed AdS3

Journal Article · 2024 · Journal of High Energy Physics (Online) · OSTI ID:2576093

Sequential flows by irrelevant operators

Journal Article · 2023 · SciPost Physics · OSTI ID:1972885

Related Subjects

Physics

Areas of planar loops, coarsening and the TT¯ deformation

Citation Formats

References (23)

Similar Records

Related Subjects