A comment on sigma model anomalies

Aneesh Manohar, Gregory Moore, Philip Nelson

Research output: Contribution to journalArticlepeer-review

35 Scopus citations

Abstract

Some non-linear sigma models with fermions are known to be ill-defined because of a global obstruction to any consistent quantization. Sigma models relevant to phenomenological theories of dynamical symmetry breaking must satisfy the additional constraint of appropriately realizing the flavor symmetries of the underlying theory at the one-loop level. This is possible if and only if 't Hooft's anomaly condition is satisfied. In particular, we show that there always exists a Wess-Zumino term which correctly reproduces the flavor anomalies, and the global obstruction vanishes, whenever 't Hooft's condition is satisfied.

Original languageEnglish (US)
Pages (from-to)68-74
Number of pages7
JournalPhysics Letters B
Volume152
Issue number1-2
DOIs
StatePublished - Feb 28 1985
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

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