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GRAVITATIONAL ANOMALIES

Oct, 1985
68 pages
Published in:
  • Z.Phys.C 33 (1986) 205
DOI:
Report number:
  • BUTP-85/23-BERN
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Abstract: (Springer)
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 ind<=4, we consider an arbitrary number of dimensions.
  • GRAVITATION
  • GAUGE FIELD THEORY: YANG-MILLS
  • FIELD THEORY: EXTERNAL FIELD
  • ANOMALY: LORENTZ
  • ANOMALY: CHIRAL
  • ANOMALY: CONFORMAL
  • PROPAGATOR
  • TENSOR: ENERGY-MOMENTUM
  • RENORMALIZATION: REGULARIZATION
  • FIELD THEORY: EFFECTIVE ACTION
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