Quantum inequivalence of different field representations |
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Authors: | MJ Duff P van Nieuwenhuizen |
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Institution: | Physics Department, Imperial College, London SW7 2BZ, UK;Institute for Theoretical Physics, State University of New York at Stony Brook, Long Island, NY 11794, USA |
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Abstract: | The gauge theories of antisymmetric tensor potentials Aμν and Aμν? describe 1 and 0 degrees of freedom, respectively. Yet we show the gravitational trace anomalies of Aμν and a scalar field A to be different, and that of Aμν? to be non-vanishing. Corresponding inequivalences also occur in their one-loop counterterms when the spacetime has non-trivial topology. Furthermore, the coupling of Aμν? to gravity provides a gauge principle derivation of the cosmological constant. Possible applications to supergravity are also discussed. |
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