Gross-Neveu model with Borici-Creutz fermion

Abstract

We investigate the chiral phase structure of the Gross-Neveu model on a 2-D lattice using the Borici-Creutz fermion action. We present a strong coupling analysis of the Gross-Neveu model and perform a hybrid Monte Carlo simulation of the model with Borici-Creutz fermions. Both analytic and lattice results show a second-order chiral phase transition.

Borici-Creutz fermions on 2-dim lattice

“…It was shown that in presence of gauge background with integer-valued topological charge, BC action satisfies the Atiyah-Singer index theorem [8]. In [9], using BC fermion we have shown a chiral phase transition in the Gross-Neveu model. In this work, we evaluate the meson spectroscopy of the Gross-Neveu model as well as in 2D QED (QED 2 ) with BC fermion.…”

“…Since the parity is broken by the BC action, a counter term c 3 is added to it. Detailed discussion about the c 3 -term can be found in [9]. The action is rewritten explicitly in terms of the auxiliary fields as…”

Mass spectroscopy using Borici–Creutz fermions on 2D lattice

“…It was shown that in presence of gauge background with integer-valued topological charge, BC action satisfies the Atiyah-Singer index theorem [8]. In [9], using BC fermion we have shown a chiral phase transition in the Gross-Neveu model. We extend that investigation further in this work to meson spectroscopy of the Gross-Neveu model as well as in 2D QED (QED 2 ) using BC fermion.…”

“…Since the parity is broken by the BC action, a counter term c 3 is added to it. Detailed discussion about the c 3 -term can be found in [9]. Now, the action is rewritten explicitly in terms of the auxiliary fields as…”

Lattice QCD with mixed action – Borici-Creutz valence quark on staggered sea

“…Previously, using BC fermions we have studied discrete chiral symmetry breaking in a two-dimensional Gross-Neveu model [7] and mass spectroscopy in two-dimensional field theories [8] in lattice. In this work, we extend our investigations to four-dimensional lattice.…”