Symmetry and Symmetry Restoration of Lattice Chiral Fermion in the Overlap Formalism

Abstract

Three aspects of symmetry structure of lattice chiral fermion in the overlap formalism are discussed. By the weak coupling expansion of the overlap Dirac operator, the axial anomaly associated to the chiral transformation proposed by Luescher is evaluated and is shown to have the correct form of the topological charge density for perturbative backgrounds. Next we discuss the exponential suppression of the self-energy correction of the lightest mode in the domain-wall fermion/truncated overlap. Finally, we consider a supersymmetric extension of the overlap formula in the case of the chiral multiplet and examine the symmetry structure of the action.

LATTICE98(chiral), 3 pages, LaTeX using espcrc2.sty

References in corpus (9)

• Exactly massless quarks on the lattice
• 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
• Prospects for perfect actions
• Consistent and covriant anomalies in the overlap formulation of chiral gauge theories
• Exponential suppression of radiatively induced mass in the truncated overlap
• One loop calculation of QCD with domain-wall quarks