Department of Physics Papers

Document Type

Journal Article

Date of this Version

2-1985

Publication Source

Physics Letters B

Volume

152

Issue

1-2

Start Page

68

Last Page

74

DOI

10.1016/0370-2693(85)91141-4

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.

Comments

At the time of publication, author Philip C. Nelson was affiliated with Harvard University. Currently, he is a faculty member in the Physics & Astronomy Department at the University of Pennsylvania.

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Date Posted: 01 May 2017

This document has been peer reviewed.