Numerical study of the 2+1d Thirring model with U(2N)-invariant fermions

2017/08/25 by Hands, Simon
#FOS: Physical sciences #High Energy Physics - Lattice (hep-lat)

paper · doi:10.48550/arxiv.1708.07686

Abstract

In 2+1 dimensions the global U(2N) symmetry associated with massless Dirac fermions is broken to U(N)⊗U(N) by a parity-invariant mass. I will show how to adapt the domain wall formulation to recover the U(2N)-invariant limit in interacting fermion models as the domain wall separation is increased. In particular, I will focus on the issue of potential dynamical mass generation in the Thirring model, postulated to take place for N less than some critical N_c. I will present results of simulations of the model using both HMC (N=2) and RHMC (N=1) algorithms, and show that the outcome is very different from previous numerical studies of the model made with staggered fermions, where the corresponding pattern of symmetry breaking is distinct.

Related

• Planar Thirring Model in the U(2N)-symmetric limit
• The Thirring Model in 2+1d with Optimised Domain Wall Fermions
• Critical Behaviour in the Single Flavor Planar Thirring Model
• Domain Wall Fermions for Planar Physics
• Properties of Overlap and Domain Wall Fermions in the 2+1D Thirring Model