The two-dimensional twisted reduced principal chiral model revisited

Abstract

Motivated by our previous study of the Twisted Eguchi-Kawai model for non minimal twists, we re-examined the behaviour of the reduced version of the two dimensional principal chiral model. We show that this single matrix model reproduces the same features as the standard lattice model. In particular, scaling towards the continuum limit, the correct value of the internal energy, the magnetic susceptibility and the mass gap. Given our capacity to reach larger values of $N$, we use the reduced model to study the nature and properties of its large $N$ phase transition existing at intermediate coupling. We conclude that the transition is of first order

pdflatex 21 pages, 10 figures

References in corpus (8)

• Infinite N phase transitions in continuum Wilson loop operators
• The string tension from smeared Wilson loops at large N
• Symmetry Breaking In Twisted Eguchi-Kawai Models
• Phase structure of twisted Eguchi-Kawai model
• Testing volume independence of SU(N) pure gauge theories at large N
• Volume independence for Yang-Mills fields on the twisted torus
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Cited by in corpus (3)

• Universal Renormalons in Principal Chiral Models
• The twisted gradient flow coupling at one loop
• Perturbative study of large $N$ principal chiral model with twisted reduction