Large-Nphase transition in lattice two-dimensional principal chiral models

1994/12/24 by Massimo Campostrini, M. Campostrini, Paolo Rossi +3 · 1 citation
Physics and Astronomy · #Condensed matter physics #High-Energy Particle Collisions Research #Lattice (music) #Materials science #Phase transition #Physics #Quantum Chromodynamics and Particle Interactions #Quantum, superfluid, helium dynamics #hep-lat

paper · pdf · doi:10.1103/physrevd.52.395

published as Phys.Rev.D52:395-401,1995 · 12 pages, Revtex, 8 uuencoded postscript figures

arxiv created 1994/12/24 · openalex publication_date 1995/07/01 · arxiv updated 2010/11/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We investigate the large-N critical behavior of two-dimensional 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 \mathrm\ensuremathβ_c.

Citations

• On spin and matrix models in the complex plane

Cited by

• Diagrammatic Monte Carlo for the weak-coupling expansion of non-Abelian lattice field theories: Large-N U(N)×U(N) principal chiral model