Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Ghost and tachyon free Weyl gauge theories: a systematic approach   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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The categories of this paper are: chem-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
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The categories of this paper are: eess
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The categories of this paper are: quant-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: bayes-an
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The categories of this paper are: astro-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: econ
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-bio
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The categories of this paper are: adap-org
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-ex