Chiral anomalies and zeta-function regularization
Creators
- 1. Institut fuer Theoretische Physik der Universitat Tuebingen, D-7400 Tuebingen, West Germany
Description
The zeta-function method for regularizing determinants is used to calculate the chiral anomalies of several field-theory models. In SU(N) gauge theories without γ5 couplings, the results of perturbation theory are obtained in an unambiguous manner for the full gauge theory as well as for the corresponding external-field problem. If axial-vector couplings are present, different anomalies occur for the two cases. The result for the full gauge theory is again uniquely determined; for its nongauge analog, however, ambiguities can arise. The connection between the basic path integral and the operator used to construct the heat kernel is investigated and the significance of its Hermiticity and gauge covariance are analyzed. The implications of the Wess-Zumino conditions are considered
Additional details
Publishing Information
- Journal Title
- Phys. Rev., D
- Journal Volume
- 31
- Journal Issue
- 6
- Series
- Phys. Rev., D.
- Journal Page Range
- 1374-1385
- ISSN
- 0556-2821
INIS
- Country of Publication
- United States
- Country of Input or Organization
- United States
- INIS RN
- 16065483
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
- Descriptors DEI
- CHIRALITY; FEYNMAN PATH INTEGRAL; FIELD THEORIES; GAUGE INVARIANCE; MATRIX ELEMENTS; PERTURBATION THEORY; SCALAR FIELDS; SU GROUPS; VECTOR FIELDS; WARD IDENTITY
- Descriptors DEC
- INTEGRALS; INVARIANCE PRINCIPLES; LIE GROUPS; PARTICLE PROPERTIES; SYMMETRY GROUPS