Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

Areas of planar loops, coarsening and the TT¯ deformation

Journal Article · · Journal of Physics. A, Mathematical and Theoretical

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 T ¯ deformation of the critical model.

Research Organization:
National Quantum Information Science (QIS) Research Centers (United States). The Quantum Science Center (QSC)
Sponsoring Organization:
USDOE
DOE Contract Number:
AC05-00OR22725
OSTI ID:
1982483
Journal Information:
Journal of Physics. A, Mathematical and Theoretical, Vol. 55, Issue 26; ISSN 1751-8113
Publisher:
IOP Publishing
Country of Publication:
United States
Language:
English

References (18)

Directed and diode percolation journal March 1982
Percolation on an isotropically directed lattice journal December 2018
Crossover from isotropic to directed percolation journal August 2012
Critical percolation in finite geometries journal February 1992
Conformal Radii for Conformal Loop Ensembles journal February 2009
Exploration trees and conformal loop ensembles journal March 2009
A central limit theorem for “critical” first-passage percolation in two dimensions journal February 1997
Domain growth morphology in curvature-driven two-dimensional coarsening journal December 2007
Exact Results for Curvature-Driven Coarsening in Two Dimensions journal April 2007
Geometric properties of two-dimensional coarsening with weak disorder journal March 2008
Geometry of phase separation journal September 2009
Theory of phase-ordering kinetics journal June 1994
A microscopic theory for antiphase boundary motion and its application to antiphase domain coarsening journal June 1979
On space of integrable quantum field theories journal February 2017
The T T ¯ $$ \mathrm{T}\overline{\mathrm{T}} $$ perturbation and its geometric interpretation journal February 2019
Finite-size dependence of the free energy in two-dimensional critical systems journal January 1988
Critically branched chains and percolation clusters journal December 1980
Moving the CFT into the bulk with T T ¯ $$ T\overline{T} $$ journal April 2018