Effective Lagrangian for strongly coupled domain wall fermions

Abstract

We derive the effective Lagrangian for mesons in lattice gauge theory with domain-wall fermions in the strong-coupling and large-N_c limits. We use the formalism of supergroups to deal with the Pauli-Villars fields, needed to regulate the contributions of the heavy fermions. We calculate the spectrum of pseudo-Goldstone bosons and show that domain wall fermions are doubled and massive in this regime. Since we take the extent and lattice spacing of the fifth dimension to infinity and zero respectively, our conclusions apply also to overlap fermions.

26 pp. RevTeX and 3 figures; corrected error in symmetry breaking scheme and added comments to discussion

Cited by in corpus (7)

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• Superbosonization of invariant random matrix ensembles
• Localization properties of lattice fermions with plaquette and improved gauge actions
• Equivalence of QCD in the epsilon-regime and chiral Random Matrix Theory with or without chemical potential
• Topology and Low Lying Fermion Modes
• Chiral properties of domain-wall fermions from eigenvalues of 4 dimensional Wilson-Dirac operator
• Low-lying meson spectrum of large $N_C$ strongly coupled lattice QCD