Power-counting renormalizable, ghost-and-tachyon-free Poincaré gauge theories

Abstract

We present 48 further examples, in addition to the 10 identified in [1], of ghost-and-tachyon-free critical cases of parity-conserving Poincaré 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.

arXiv comment10 pages

References in corpus (5)

• The Stueckelberg Field
• Hamiltonian analysis of Poincaré gauge theory scalar modes
• Hamiltonian Analysis of Poincaré Gauge Theory: Higher Spin Modes
• Ghost and tachyon free Poincaré gauge theories: a systematic approach
• Angular momentum content of a virtual graviton

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