Evaluation of the Bilinear Condensate of the Planar Thirring Model in the Strongly Coupled Region

Abstract

The planar Thirring model is thought to have a strongly coupled critical point for a single flavour of fermion. We look at the calculation of the bilinear condensate in this critical region, and its characterisation via an equation of state. Since the computation is numerically challenging we investigate improved Dirac operators. We present findings on different methods of calculation using a rational hybrid Monte Carlo scheme, and calculations of the bilinear condensate, an equation of state, and the associated critical exponents. Overlap and domain wall Dirac operators, and variants therein are considered.

arXiv comment25 pages, 10 figures

References in corpus (14)

• Exactly massless quarks on the lattice
• A Method for Simulating Chiral Fermions on the Lattice
• Chiral Fermions from Lattice Boundaries
• A construction of lattice chiral gauge theories
• A New Exact Method for Dynamical Fermion Computations with Non-Local Actions
• Critical Flavor Number in the Three Dimensional Thirring Model
• The Three Dimensional Thirring Model for Small N_f
• Optimal lattice domain-wall fermions
• Critical flavour number of the Thirring model in three dimensions
• The Phase Diagram of the Three Dimensional Thirring Model
• On the Critical Flavor Number in the 2+1$d$ Thirring Model
• Critical Behaviour in the Single Flavor Thirring Model in 2+1d
• From Domain Wall to Overlap in 2+1d
• Approximation Theory for Matrices

Cited by in corpus (1)

• Critical Behaviour in the Single Flavor Thirring Model in 2+1$d$ with Wilson Kernel Domain Wall Fermions