Exponential suppression of radiatively induced mass in the truncated overlap

Abstract

A certain truncation of the overlap (domain wall fermions) contains $k$ flavors of Wilson-Dirac fermions. We show that for sufficiently weak lattice gauge fields the effective mass of the lightest Dirac particle is exponentially suppressed in $k$. This suppression is seen to disappear when lattice topology is non-trivial. We check explicitly that the suppression holds to one loop in perturbation theory. We also provide a new expression for the free fermion propagator with an arbitrary additional mass term.

26 pages, plain TeX

References in corpus (4)

• Exactly massless quarks on the lattice
• Vector like gauge theories with almost massless fermions on the lattice
• Chiral Symmetry Restoration in the Schwinger Model with Domain Wall Fermions
• f_B with lattice NRQCD including O(1/m_Q^2) corrections

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• The overlap lattice Dirac operator and dynamical fermions
• New Domain-Wall Fermion Actions
• Perturbative renormalization of the first moment of structure functions for domain-wall QCD
• Two dimensional lattice Gross--Neveu model with domain-wall fermions
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• Spectral properties and chiral symmetry violations of (staggered) domain wall fermions in the Schwinger model
• Eigenvalues of the hermitian Wilson-Dirac operator and chiral properties of the domain-wall fermion
• A Perturbative Study of a General Class of Lattice Dirac Operators
• Exact Chiral Symmetry for Domain Wall Fermions with Finite L_s
• Chiral violations in domain-wall QCD from one-loop perturbation theory at finite $N_s$
• Perturbative chiral violations for domain-wall QCD with improved gauge actions
• Symmetry and Symmetry Restoration of Lattice Chiral Fermion in the Overlap Formalism