Chiral Symmetry Restoration in the Schwinger Model with Domain Wall Fermions
نویسنده
چکیده
Domain Wall Fermions utilize an extra space time dimension to provide a method for restoring the regularization induced chiral symmetry breaking in lattice vector gauge theories even at finite lattice spacing. The breaking is restored at an exponential rate as the size of the extra dimension increases. Before this method can be used in dynamical simulations of lattice QCD, the dependence of the restoration rate to the other parameters of the theory and, in particular, the lattice spacing must be investigated. In this paper such an investigation is carried out in the context of the two flavor lattice Schwinger model.
منابع مشابه
Domain Wall Fermions and chiral symmetry restoration rate
Domain Wall Fermions utilize an extra space time dimension to provide a method for restoring the regularization induced chiral symmetry breaking in lattice vector gauge theories even at finite lattice spacing. The breaking is restored at an exponential rate as the size of the extra dimension increases. As a precursor to lattice QCD studies the dependence of the restoration rate to the other par...
متن کاملChiral symmetry in the 2 - flavour lattice Schwinger model ∗
We study the 2-flavour lattice Schwinger model: QED in D = 2 with two fermion species of identical mass. In the simulation we are using Wilson fermions where chiral symmetry is explicitly broken. Since there is no known simple order parameter it is non-trivial to identify the critical line of the chiral phase transition. We therefore need to find observables which allow an identification of a p...
متن کاملTwo dimensional lattice Gross–Neveu model with domain-wall fermions
We investigate the two dimensional lattice Gross–Neveu model in large flavor number limit using the domain-wall fermion formulation, as a toy model of lattice QCD. We study nonperturbative behavior of the restoration of chiral symmetry of the domain-wall fermions as the extent of the extra dimension (Ns) is increased to infinity. We find the the parity broken phase (Aoki phase) for finite Ns, a...
متن کاملLattice Gross-Neveu model with domain-wall fermions∗
We investigate the two-dimensional lattice Gross–Neveu model, using the domain-wall fermion formulation, as a toy model of lattice QCD. We study features of the phase diagram related to the mechanism of chiral symmetry restoration, and find that the parity-broken phase (Aoki phase) exists for finite extent in the extra dimension (Ns). We also find that O(a) scaling violation terms vanishes in t...
متن کاملChiral Symmetry Breaking in Strongly Coupled 1 + 1 Dimensional Lattice Gauge Theories 1
1. Abstract We analyse − within the hamiltonian formalism with staggered fermions − the patterns of chiral symmetry breaking for the strongly coupled Schwinger and U (N c)-color 't Hooft models with one and two flavor of fermions. Using the correspondence between these strongly coupled gauge models and antiferromagnetic spin chains, we provide a rather intuitive picture of their ground states, ...
متن کامل