Planar Thirring Model in the U(2N)-symmetric limit

2021/05/20 by Simon Hands, Hands, Simon
Physics and Astronomy · #Quantum Chromodynamics and Particle Interactions #Quantum, superfluid, helium dynamics #High-Energy Particle Collisions Research

paper · pdf · doi:10.48550/arxiv.2105.09643

Abstract

I review the Thirring model in 2+1d dimensions, focussing in particular on possible strongly-interacting UV-stable fixed points of the renormalisation group, corresponding to a continuous phase transition where a U(2N) global symmetry spontaneously breaks to U(N)⊗U(N). Since there is no small parameter in play, a systematic non-perturbative approach such as numerical simulation of lattice field theory is mandated. I compare and contrast various formulations, paying particular attention to models formulated with either staggered or domain wall lattice fermions. Domain wall fermions, which faithfully capture U(2N) symmetry in the limit of wall separation L_s→∞, predict a critical flavor number 1

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