Overlap-Dirac fermions with a small hopping parameter

Abstract

We consider overlap-Dirac fermions at non-zero bare coupling and for a small hopping parameter, or, equivalently, large $|M|$ with $M$ the domain-wall height. We prove the existence of a phase at large positive $M$ where the abelian axial group $U_A(1)$ is a symmetry, and the corresponding pseudo-scalar is an exact Goldstone boson. We also provide a conjecture for the phase diagram of asymptotically free gauge theories with overlap-Dirac fermions. In particular, we suggest that, for large gauge coupling, the massive-fermion phase at negative $M$ possibly extends to all $M<4$.

14 pages, 1 figure, minor changes

Cited by in corpus (10)

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• Chiral properties of domain-wall fermions from eigenvalues of 4 dimensional Wilson-Dirac operator
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• Lattice QCD with the Overlap Fermions at Strong Gauge Coupling (II)