# Exploration of the phase diagram of 5D anisotropic SU2 gauge theory - High Energy Physics - Lattice

Abstract: In this paper we attempt a non-perturbative study of the five dimensional,anisotropic SU2 gauge theory on the lattice using Monte-Carlo techniques. Ourgoal is the exploration of the phase diagram, define the various phases and thecritical boundary lines. Three phases appear, two of them are continuations ofthe Strong and the Weak coupling phases of pure 4d SU2 to non-zero coupling$\beta^{-}$ in the fifth transverse direction and they are separated by acrossover transition, while the third phase is a 5D Coulombic phase. We provideevidence that the phase transition between the 5D Coulomb phase and the Weakcoupling phase is a second order phase transition. Assuming that this result isnot altered when increasing the lattice volume we give a first estimate of theassociated critical exponents. This opens the possibility for a continuumeffective five dimensional field theory.

Author: K. Farakos NTUA, S. Vrentzos NTUA

Source: https://arxiv.org/