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Background Fermi fields and Schwinger-Dewitt proper-time method

Authors
Journal
Nuclear Physics B
0550-3213
Publisher
Elsevier
Publication Date
Volume
255
Identifiers
DOI: 10.1016/0550-3213(85)90146-4
Disciplines
  • Physics

Abstract

Abstract By using supermatrices and the super-Fredholm determinant, the Schwinger-DeWitt propertime expansion method is generalized to the case with background Fermi fields as well as background Bose fields. For quantum field theories defined in flat or curved space-time, we present a derivation of complete one-loop renormalization counterterms (including those involving Fermi fields) by this method. The whole one-loop counterterms are given in terms of the supertrace of a single coefficient a 2 - a supermatrix - appearing in the DeWitt-WKB expansion.

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