Spin connection as Lorentz gauge field in Fairchild's action

Francesco Cianfrani, Giovanni Montani, Vincenzo Scopelliti

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Abstract

We propose a modified gravitational action containing besides the Einstein-Cartan term some quadratic contributions resembling the Yang-Mills Lagrangian for the Lorentz spin connections. We outline how a propagating torsion arises and we solve explicitly the linearized equations of motion on a Minkowski background. We identify among torsion components six degrees of freedom: one is carried by a pseudo-scalar particle, five by a tachyon field. By adding spinor fields and neglecting backreaction on the geometry, we point out how only the pseudo-scalar particle couples directly with fermions, but the resulting coupling constant is suppressed by the ratio between fermion and Planck masses. Including backreaction, we demonstrate how the tachyon field provides causality violation in the matter sector, via an interaction mediated by gravitational waves.
Original languageEnglish
Article number1650124
Pages (from-to)-
JournalModern Physics Letters A
Volume31
Issue number20
DOIs
Publication statusPublished - 28 Jun 2016
Externally publishedYes

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All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics
  • Astronomy and Astrophysics

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