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Physical Account of Weyl Anomaly from Dirac Sea

Authors
  • Habara, Y.
  • Nielsen, H. B.
  • Ninomiya, M.
Type
Preprint
Publication Date
Jun 27, 2012
Submission Date
Jun 26, 2012
Identifiers
arXiv ID: 1206.6076
Source
arXiv
License
Yellow
External links

Abstract

We derive the Weyl anomaly in two dimensional space-time by considering the Dirac sea regularized some negatively counted formally bosonic extra species.In fact we calculate the trace of the energy-momentum tensor of the Dirac sea in a background gravitational field. It has to be regularized, since otherwise the Dirac sea is bottomless and thus causes divergence. The new regularization method consists in adding various massive species some of which are to be counted negative in the Dirac sea.The mass term in the Lagrangian of the regularization fields have a dependence on the background gravitational field.

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