Positivity and topology in lattice gauge theory

Abstract

The admissibility condition usually used to define the topological charge in lattice gauge theory is incompatible with a positive transfer matrix.

6 pages, revtex; revision has some clarifications and additional references, representing the final version to appear in Physical Review

References in corpus (4)

• Topological susceptibility in full QCD with Ginsparg-Wilson fermions
• Universality and scaling behavior of RG gauge actions
• Ambiguities in the up quark mass
• Transiting topological sectors with the overlap

Cited by in corpus (16)

• Theta dependence of SU(N) gauge theories in the presence of a topological term
• Lattice gauge action suppressing near-zero modes of H_W
• Topology and higher dimensional representations
• One flavor QCD
• Confinement, chiral symmetry, and the lattice
• Topology conserving gauge action and the overlap-Dirac operator
• The 't Hooft vertex revisited
• Instanton liquid properties from lattice QCD
• Exploring Topology Conserving Gauge Actions for Lattice QCD
• Anomalies, gauge field topology, and the lattice
• Anomalies and chiral symmetry in QCD
• Quark masses, the Dashen phase, and gauge field topology
• Lattice QCD with fixed topology
• Non-abelian lattice gauge theory with a topological action
• Homotopy data as part of the lattice field: A first study
• Reflection Positivity of Free Overlap Fermions