A large N phase transition in the continuum two dimensional SU(N) X SU(N) principal chiral model

Abstract

It is established by numerical means that the continuum large N principal chiral model in two dimensions has a phase transition in a smoothed two point function at a critical distance of the order of the correlation length.

15 pages, 6 figures

References in corpus (8)

• Infinite N phase transitions in continuum Wilson loop operators
• Large N reduction in the continuum three dimensional Yang-Mills theory
• Does the crossover from perturbative to nonperturbative physics in QCD become a phase transition at infinite N ?
• Universality of large N phase transitions in Wilson loop operators in two and three dimensions
• Multiplying unitary random matrices - universality and spectral properties
• Two dimensional SU(N) x SU(N) chiral models on the lattice
• A Linear Equation for Wilson Loops
• Tunneling in two dimensional QCD

Cited by in corpus (9)

• SU(N) gauge theories at large N
• Introductory lectures to large-N QCD phenomenology and lattice results
• Burgers' equation in 2D SU(N) YM
• Complex Burgers' equation in 2D SU(N) YM
• Summing Planar Diagrams by an Integrable Bootstrap
• Eigenvalue density of Wilson loops in 2D SU(N) YM
• Seeing asymptotic freedom in an exact correlator of a large-$N$ matrix field theory
• The two-dimensional twisted reduced principal chiral model revisited
• Two dimensional fermions in four dimensional YM