Large-N phase transition in lattice 2-d principal chiral models

Abstract

We investigate the large-N critical behavior of 2-d lattice chiral models by Monte Carlo simulations of U(N) and SU(N) groups at large N. Numerical results confirm strong coupling analyses, i.e. the existence of a large-N second order phase transition at a finite ${\beta }_c$.

12 pages, Revtex, 8 uuencoded postscript figures

References in corpus (5)

• Renormalization Group Approach to Matrix Models
• Multi-Grid Monte Carlo III. Two-Dimensional O(4)-Symmetric Nonlinear $\sigma$-Model
• On Spin and Matrix Models in the Complex Plane
• Two dimensional SU(N)xSU(N) Chiral Models on the Lattice (II): the Green's Function
• Strong-coupling expansion of chiral models

Cited by in corpus (11)

• Finite Size Spectrum of SU(N) Principal Chiral Field from Discrete Hirota Dynamics
• Multi-Grid Monte Carlo via $XY$ Embedding. II. Two-Dimensional $SU(3)$ Principal Chiral Model
• Twisted Eguchi-Kawai Reduced Chiral Models
• Strong coupling analysis of the large-N 2-d lattice chiral models
• Critical Behavior of Simplicial Chiral Models
• The two-dimensional twisted reduced principal chiral model revisited
• Thermodynamics of Third Order Phase Transition: A Solution to the Euler-Lagrange Equations
• Diagrammatic Monte-Carlo for weak-coupling expansion of non-Abelian lattice field theories: large-N U(N)xU(N) principal chiral model
• Perturbative study of large $N$ principal chiral model with twisted reduction
• Finite $N$ unitary matrix model
• Asymptotic scaling from strong coupling in 2-d lattice chiral models