Chiral anomalies and Poincare invariance
Abstract
I study variations of the fermionic determinant for a nonabelian Dirac fermion with external vector and axial vector sources. I consider different regularizations, leading to different chiral anomalies when the variations are chiral transformations. For these different regularizations, I then consider variations associated with Poincare transformations. I find that both Lorentz and translational invariance are anomalously violated in general, but that they are respected when the variations of the determinant are regularized to give a WessZumino consistent anomaly (the Bardeen anomaly). If the variations are regularized to give a covariant anomaly, then Poincare invariance is not respected. Following Manohar in an investigation of Poincare anomalies in a chiral gauge theory, this gives an alternative way to understand the need for a consistent regularization of the variations of the fermionic determinant.
 Publication:

arXiv eprints
 Pub Date:
 December 1999
 arXiv:
 arXiv:hepth/9912095
 Bibcode:
 1999hep.th...12095T
 Keywords:

 High Energy Physics  Theory
 EPrint:
 8 pages, revised version, two references added