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Power-counting renormalizable, ghost-and-tachyon-free Poincar\'e gauge theories

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arxiv 1910.14197 v2 pith:3WCB7YHF submitted 2019-10-31 gr-qc hep-th

Yun-Cherng Lin , Michael P. Hobson , Anthony N. Lasenby This is my paper
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keywords theoriescasescriticalgaugeghost-and-tachyon-freemassivemasslessmode
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abstract

We present 48 further examples, in addition to the 10 identified in [1], of ghost-and-tachyon-free critical cases of parity-conserving Poincar\'e gauge theories of gravity (PGT$^+$) that are also power-counting renormalizable (PCR). This is achieved by extending the range of critical cases considered. Of the new PCR theories, seven have 2 massless degrees of freedom (d.o.f.) in propagating modes and a massive $0^-$ or $2^-$ mode, eight have only 2 massless d.o.f., and 33 have only massive mode(s). We also clarify the treatment of nonpropagating modes in determining whether a theory is PCR.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Numerical polology: towards next-generation model-building for cosmology

    astro-ph.CO 2026-06 unverdicted novelty 7.0 of 10

    Numerical polology framework samples coupling space to discover ghost-free tensor field theories up to rank three for cosmology, then applies resulting priors to black hole superradiance, dynamical dark energy, and GW data.

  2. The particle spectra of parity-violating theories: A less radical approach and an upgrade of PSALTer

    hep-th 2025-06 conditional novelty 6.0 of 10

    The authors derive a simpler no-ghost condition based on a kinetic matrix and release a parity-violating upgrade of PSALTer, demonstrating it on Einstein-Cartan gravity with two scalar modes.

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