On lattice definitions of chiral gauge theories and the problem of anomalies

Research output: Contribution to journalArticle

46 Citations (Scopus)

Abstract

We argue that many lattice formulations of chiral gauge theories cannot reproduce the continuum theories that they are supposed to define. The lattice models contain global symmetries that are broken by anomalies in the continuum. To the extent that the lattice theories reproduce the low lying spectrum of the continuum models, the effective action they generate must contain Wess-Zumino terms that cancel these anomalies. In particular, many otherwise appealing lattice formulations of the standard model cannot reproduce the baryon number violating phenomena that have been the focus of much recent interest.

Original languageEnglish (US)
Pages (from-to)75-80
Number of pages6
JournalPhysics Letters B
Volume272
Issue number1-2
DOIs
StatePublished - Nov 28 1991

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gauge theory
anomalies
continuums
formulations
baryons
symmetry

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

Cite this

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abstract = "We argue that many lattice formulations of chiral gauge theories cannot reproduce the continuum theories that they are supposed to define. The lattice models contain global symmetries that are broken by anomalies in the continuum. To the extent that the lattice theories reproduce the low lying spectrum of the continuum models, the effective action they generate must contain Wess-Zumino terms that cancel these anomalies. In particular, many otherwise appealing lattice formulations of the standard model cannot reproduce the baryon number violating phenomena that have been the focus of much recent interest.",
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On lattice definitions of chiral gauge theories and the problem of anomalies. / Banks, Thomas.

In: Physics Letters B, Vol. 272, No. 1-2, 28.11.1991, p. 75-80.

Research output: Contribution to journalArticle

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AB - We argue that many lattice formulations of chiral gauge theories cannot reproduce the continuum theories that they are supposed to define. The lattice models contain global symmetries that are broken by anomalies in the continuum. To the extent that the lattice theories reproduce the low lying spectrum of the continuum models, the effective action they generate must contain Wess-Zumino terms that cancel these anomalies. In particular, many otherwise appealing lattice formulations of the standard model cannot reproduce the baryon number violating phenomena that have been the focus of much recent interest.

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