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

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

1998-09-16

arxiv.org/abs/hep-lat/9809123v1

Nucl.Phys.Proc.Suppl. 73 (1999) 694-696

Physics

High Energy Physics

High Energy Physics - Lattice

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

Scientific paper

10.1016/S0920-5632(99)85176-7

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.

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