Critical Behaviour in the Single Flavor Planar Thirring Model

2021/10/08 by Simon Hands, Hands, Simon, Michele Mesiti +3
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Theory (hep-th) #High-Energy Particle Collisions Research #Quantum Chromodynamics and Particle Interactions #Strongly Correlated Electrons (cond-mat.str-el) #Theoretical and Computational Physics

paper · pdf · doi:10.48550/arxiv.2110.03944

openalex publication_date 2021/10/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We report results of simulations of the 2+1d Thirring model with N fermion flavors, defined on a lattice using domain wall fermions. This approach is devised to respect as far as possible the underlying U(2N) symmetry of the continuum model, expected to be recovered in the limit wall separation L_s→∞. For N=1 there is a symmetry-breaking phase transition associated with bilinear condensation at strong fermion self-interaction, which is a plausible location for a quantum critical point. Fits to a renormalisation group-inspired equation of state yield critical exponents distinct from those obtained using a version of the model defined using staggered fermions.

Related

• The Thirring Model in 2+1d with Optimised Domain Wall Fermions
• Planar Thirring Model in the U(2N)-symmetric limit
• Critical flavour number of the Thirring model in three dimensions
• Numerical study of the 2+1d Thirring model with U(2N)-invariant fermions
• Properties of Overlap and Domain Wall Fermions in the 2+1D Thirring Model