The Phases of Non-Compact QED(3)

TL;DR

This paper uses computer simulations to explore chiral symmetry breaking in non-compact QED(3), focusing on how the critical number of fermion flavors influences the phase transition.

Contribution

It provides preliminary simulation results on the chiral phase transition in non-compact QED(3) for different fermion flavor numbers, estimating the critical flavor number N_{fc}~1.5.

Findings

Estimated critical flavor number N_{fc}~1.5

Preliminary results on the equation of state

Insights into the chiral phase transition

Abstract

Non-compact three-dimensional QED is studied by computer simulations to understand its chiral symmetry breaking features for different values of the number of fermion flavors N_f. We consider the four-component formulation for the fermion fields, which arises naturally as the continuum limit of the staggered fermion construction in (2+1) dimensions. We present preliminary results for the equation of state of the theory in an effort to understand the properties of the chiral phase transition of the theory at a critical number of fermion flavors N_{fc}. Our preliminary results indicate that N_{fc}~1.5.