Form factors and non-local Multiplicative Anomaly for fermions with background torsion
Abstract
We analyse the Multiplicative Anomaly (MA) in the case of quantized massive fermions coupled to a background torsion. The one-loop Effective Action (EA) can be expressed in terms of the logarithm of determinant of the appropriate first-order differential operator acting in the spinors space. Simple algebraic manipulations on determinants must be used in order to apply properly the Schwinger-DeWitt technique, or even the covariant perturbation theory (Barvinsky and Vilkovisky, 1990), which is used in the present work. By this method, we calculate the finite non-local quantum corrections, and analyse explicitly the breakdown of those algebraic manipulations on determinants, called by MA. This feature comes from the finite non-local EA, but does not affect the results in the UV limit, in particular the beta-functions. Similar results was also obtained in previous papers but for different external fields (QED and scalar field).
Keywords
Cite
@article{arxiv.1402.4988,
title = {Form factors and non-local Multiplicative Anomaly for fermions with background torsion},
author = {Guilherme de Berredo-Peixoto and Alan E. Maicá},
journal= {arXiv preprint arXiv:1402.4988},
year = {2015}
}
Comments
LaTeX file, 12 pages, no figures