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Ghost and tachyon free Weyl gauge theories: a systematic approach

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arxiv 2005.02228 v2 pith:HYTW7BHA submitted 2020-05-05 gr-qc hep-th

Yun-Cherng Lin , Michael P. Hobson , Anthony N. Lasenby This is my paper · ORCID
classification gr-qchep-th
keywords casesdeterminegaugetheoriesconditionsfreeonlyparameters
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abstract

We investigate the particle content of parity-preserving Weyl gauge theories of gravity (WGT$^+$) about a Minkowski background. Within a subset of the full theory, we use a systematic method previously presented in [arXiv:1812.02675] to determine 862 critical cases for which the parameter values in the action lead to additional gauge invariances. We find that 168 of these cases are free of ghosts and tachyons, provided the parameters satisfy certain conditions that we also determine. We further identify 40 of these cases that are also power-counting renormalizable and determine the corresponding conditions on the parameters. Of these theories, 11 have only massless tordion propagating particles, 23 have only a massive tordion propagating mode, and 6 have both. We also repeat our analysis for WGT$^+$ with vanishing torsion or curvature, respectively. We compare our findings with the very few previous results in the literature.

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Cited by 4 Pith papers

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