Wilson, fixed point and Neuberger's lattice Dirac operator for the Schwinger model

Abstract

We perform a comparison between different lattice regularizations of the Dirac operator for massless fermions in the framework of the single and two flavor Schwinger model. We consider a) the Wilson-Dirac operator at the critical value of the hopping parameter; b) Neuberger's overlap operator; c) the fixed point operator. We test chiral properties of the spectrum, dispersion relations and rotational invariance of the mesonic bound state propagators.

Revised version; 13 pages (LaTeX), 3 figures (EPS)

References in corpus (6)

• Exact chiral symmetry on the lattice and the Ginsparg-Wilson relation
• More about exactly massless quarks on the lattice
• The index theorem in QCD with a finite cut-off
• Vector like gauge theories with almost massless fermions on the lattice
• Lattice QCD without tuning, mixing and current renormalization
• Chiral properties of the fixed point action of the Schwinger model

Cited by in corpus (19)

• Approximate Ginsparg-Wilson fermions: A first test
• Scaling tests with dynamical overlap and rooted staggered fermions
• A variant approach to the overlap action
• Staggered versus overlap fermions: a study in the Schwinger model with $N_f=0,1,2$
• Simple Observables from Fat Link Fermion Actions
• The Scaling of Exact and Approximate Ginsparg-Wilson Fermions
• Eigenvalue spectrum of massless Dirac operators on the lattice
• Convergence Rate and Locality of Improved Overlap Fermions
• Lattice Study of the Massive Schwinger Model with $\theta$ Term under Lüscher's "Admissibility" Condition
• New approximate solutions of the Ginsparg-Wilson equation - tests in 2-d
• Scaling test of fermion actions in the Schwinger model
• Schwinger Model with the Overlap-Dirac Operator: exact results versus a physics motivated approximation
• Progress using generalized lattice Dirac operators to parametrize the Fixed-Point QCD action
• Ginsparg-Wilson Fermions: A study in the Schwinger Model
• Sum Rules for the Dirac Spectrum of the Schwinger Model
• A Study of the 't Hooft Model with the Overlap Dirac Operator
• The General Correlation Function in the Schwinger Model on a Torus
• Bosonic Partition Functions at Nonzero (Imaginary) Chemical Potential
• Comparing lattice Dirac operators with Random Matrix Theory