Quantum Inequivalence of Different Field Representations

Duff, M.J.; van Nieuwenhuizen, P.

doi:10.1016/0370-2693(80)90852-7

Quantum Inequivalence of Different Field Representations

May, 1980

4 pages

Published in:

Phys.Lett.B 94 (1980) 179-182

Published: 1980

DOI:

10.1016/0370-2693(80)90852-7

Report number:

ICTP/79-80/33

View in:

ADS Abstract Service

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Abstract: (Elsevier)

The gauge theories of antisymmetric tensor potentials A μν and A μνϱ describe 1 and 0 degrees of freedom, respectively. Yet we show the gravitational trace anomalies of A μν and a scalar field A to be different, and that of A μνϱ to be non-vanishing. Corresponding inequivalences also occur in their one-loop counterterms when the spacetime has non-trivial topology. Furthermore, the coupling of A μνϱ to gravity provides a gauge principle derivation of the cosmological constant. Possible applications to supergravity are also discussed.

GAUGE FIELD THEORY
QUANTIZATION
GRAVITATION: ANOMALY
RENORMALIZATION: REGULARIZATION
FIELD THEORY: TOPOLOGICAL
GRAVITATION: SUPERSYMMETRY

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