Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

Schwinger--DeWitt proper-time method for odd-dimensional gauge theory

Journal Article · · J. Math. Phys. (N.Y.); (United States)
DOI:https://doi.org/10.1063/1.527392· OSTI ID:5496118

The Schwinger--DeWitt proper-time method (WKB expansion) is applied to calculate the anomaly in odd-dimensional gauge theories. The parity violating part of effective action for gauge theory in odd dimensions with massless fermion is calculated explicitly and efficiently by this method. It is shown to be precisely the local Chern--Simons term.

Research Organization:
Department of Physics, FM-15, University of Washington, Seattle, Washington 98195
OSTI ID:
5496118
Journal Information:
J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 27:9; ISSN JMAPA
Country of Publication:
United States
Language:
English

Similar Records

Gauge dependence of the. eta. function in Chern-Simons field theory and the Vilkovisky-DeWitt correction
Journal Article · Wed Nov 14 23:00:00 EST 1990 · Physical Review, D (Particles Fields); (USA) · OSTI ID:6150957

Induced fermionic charge in background gauge theories in odd space-time dimensions
Journal Article · Mon Mar 14 23:00:00 EST 1988 · Phys. Rev. D; (United States) · OSTI ID:5273902

Anomalies in spaces of even and odd dimensions in the scheme of stochastic quantization
Journal Article · Wed Jun 01 00:00:00 EDT 1988 · Theor. Math. Phys.; (United States) · OSTI ID:5938622