Chiral properties of the fixed point action of the Schwinger model

Abstract

We study the spectrum properties for a recently constructed fixed point lattice Dirac operator. We also consider the problem of the extraction of the fermion condensate, both by direct computation, and through the Banks-Casher formula by analyzing the density of eigenvalues of a redefined antihermitean lattice Dirac operator.

14 pages (LaTeX), 4 figures (EPS)

References in corpus (5)

• The index theorem in QCD with a finite cut-off
• Topological Charge and the Spectrum of the Fermion Matrix in Lattice-QED_2
• Local bosonic versus HMC --- a CPU cost comparison
• Scaling Tests of Some Lattice Fermion Actions
• The fixed point action of the Schwinger model

Cited by in corpus (16)

• Locality properties of Neuberger's lattice Dirac operator
• A new approach to Ginsparg-Wilson fermions
• Approximate Ginsparg-Wilson fermions: A first test
• A variant approach to the overlap action
• The Scaling of Exact and Approximate Ginsparg-Wilson Fermions
• A comprehensive picture of topological excitations in finite temperature lattice QCD
• Eigenvalue spectrum of massless Dirac operators on the lattice
• Scaling test of fermion actions in the Schwinger model
• Wilson, fixed point and Neuberger's lattice Dirac operator for the Schwinger model
• Progress using generalized lattice Dirac operators to parametrize the Fixed-Point QCD action
• Clover improvement, spectrum and Atiyah-Singer index theorem for the Dirac operator on the lattice
• Ginsparg-Wilson Fermions: A study in the Schwinger Model
• Sum Rules for the Dirac Spectrum of the Schwinger Model
• SW action for the lattice Schwinger model
• Bound states for Overlap and Fixed Point Actions close to the chiral limit
• Spectrum of the fixed point Dirac operator in the Schwinger model