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Gravitational anomalies

Abstract

The effective action for fermions moving in external gravitational and gauge fields is analyzed in terms of the corresponding external field propagator. The central object in our approach is the covariant energy-momentum tensor which is extracted from the regular part of the propagator at short distances. It is shown that the Lorentz anomaly, the conformal anomaly and the gauge anomaly can be expressed in terms of the local polynomials which determine the singular part of the propagator. (There are no coordinate anomalies). Except for the conformal anomaly, for which we give explicit representations only in dless than or equal to4, we consider an arbitrary number of dimensions.
Publication Date:
Dec 01, 1986
Product Type:
Journal Article
Reference Number:
DEN-87-000057; EDB-87-019607
Resource Relation:
Journal Name: Z. Phys. C; (Germany, Federal Republic of); Journal Volume: 33:2
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; GRAVITATIONAL INTERACTIONS; FERMIONS; CONFORMAL INVARIANCE; DIRAC EQUATION; ENERGY-MOMENTUM TENSOR; GAUGE INVARIANCE; GRAVITATIONAL FIELDS; INTERACTION RANGE; LOCALITY; LORENTZ INVARIANCE; MANY-DIMENSIONAL CALCULATIONS; MASSLESS PARTICLES; POLYNOMIALS; PROPAGATOR; RIEMANN SPACE; SINGULARITY; UNIFIED GAUGE MODELS; VECTOR FIELDS; BASIC INTERACTIONS; DIFFERENTIAL EQUATIONS; DISTANCE; ELEMENTARY PARTICLES; EQUATIONS; FUNCTIONS; INTERACTIONS; INVARIANCE PRINCIPLES; MATHEMATICAL MODELS; MATHEMATICAL SPACE; PARTIAL DIFFERENTIAL EQUATIONS; PARTICLE MODELS; SPACE; TENSORS; WAVE EQUATIONS; 657003* - Theoretical & Mathematical Physics- Relativity & Gravitation
OSTI ID:
6917818
Research Organizations:
Bern Univ., Switzerland. Inst. fuer Theoretische Physik; Saha Inst. of Nuclear Physics, Calcutta, India
Country of Origin:
Germany
Language:
English
Other Identifying Numbers:
Journal ID: CODEN: ZPCFD
Submitting Site:
DEN
Size:
Pages: 205-226
Announcement Date:
Jan 01, 1987

Citation Formats

Leutwyler, H, and Mallik, S. Gravitational anomalies. Germany: N. p., 1986. Web.
Leutwyler, H, & Mallik, S. Gravitational anomalies. Germany.
Leutwyler, H, and Mallik, S. 1986. "Gravitational anomalies." Germany.
@misc{etde_6917818,
title = {Gravitational anomalies}
author = {Leutwyler, H, and Mallik, S}
abstractNote = {The effective action for fermions moving in external gravitational and gauge fields is analyzed in terms of the corresponding external field propagator. The central object in our approach is the covariant energy-momentum tensor which is extracted from the regular part of the propagator at short distances. It is shown that the Lorentz anomaly, the conformal anomaly and the gauge anomaly can be expressed in terms of the local polynomials which determine the singular part of the propagator. (There are no coordinate anomalies). Except for the conformal anomaly, for which we give explicit representations only in dless than or equal to4, we consider an arbitrary number of dimensions.}
journal = []
volume = {33:2}
journal type = {AC}
place = {Germany}
year = {1986}
month = {Dec}
}