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- W3104467557 abstract "In continuum field theory, it has been discussed that chiral gauge theories with Weyl fermions in anomalous gauge representations (anomalous gauge theories) can consistently be quantized, provided that some of gauge bosons are permitted to acquire mass. Such theories in four dimensions are inevitablly non-renormalizable and must be regarded as a low-energy effective theory with a finite ultraviolet (UV) cutoff. In this paper, we present a lattice framework which enables one to study such theories in a non-perturbative level. By introducing bare mass terms of gauge bosons that impose ``smoothness'' on the link field, we explicitly construct a consistent fermion integration measure in a lattice formulation based on the Ginsparg-Wilson (GW) relation. This framework may be used to determine in a non-perturbative level an upper bound on the UV cutoff in low-energy effective theories with anomalous fermion content. By further introducing the Stuckelberg or Wess-Zumino (WZ) scalar field, this framework provides also a lattice definition of a non-linear sigma model with the Wess-Zumino-Witten (WZW) term." @default.
- W3104467557 created "2020-11-23" @default.
- W3104467557 creator A5067695808 @default.
- W3104467557 creator A5090547536 @default.
- W3104467557 date "2007-10-03" @default.
- W3104467557 modified "2023-10-18" @default.
- W3104467557 title "Four-dimensional lattice chiral gauge theories with anomalous fermion content" @default.
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- W3104467557 doi "https://doi.org/10.1088/1126-6708/2007/10/018" @default.
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