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Gravitational mass generation and consistent non-minimal couplings: cubics and quartics of a massive vector

Carlo Marzo

Abstract

An attempt to evade the strict uniqueness of consistent interactions involving spin-2 particles is made by modifying the Noether procedure from the outset. A vector field is introduced, coupled to a graviton already at the level of quadratic mixing. The byproduct is a gauge-invariant mass for the vector and novel consistent interactions, here derived and tested up to quartic order. A simple geometric interpretation of the vector field appears possible.

Gravitational mass generation and consistent non-minimal couplings: cubics and quartics of a massive vector

Abstract

An attempt to evade the strict uniqueness of consistent interactions involving spin-2 particles is made by modifying the Noether procedure from the outset. A vector field is introduced, coupled to a graviton already at the level of quadratic mixing. The byproduct is a gauge-invariant mass for the vector and novel consistent interactions, here derived and tested up to quartic order. A simple geometric interpretation of the vector field appears possible.
Paper Structure (9 sections, 28 equations, 1 figure)

This paper contains 9 sections, 28 equations, 1 figure.

Table of Contents

  1. Introduction
  2. The Noether procedure
  3. Bootstrapping Gravity
  4. Tensor-Vector beyond GR
  5. Bootstrapping New Interactions
  6. Empty solutions and homogeneous gauge transformations
  7. Cubics to Quartics
  8. Comments and conclusion
  9. Notation for index contractions

Figures (1)

  • Figure 1: The algorithm to isolate cubic candidate interactions and gauge deformations, factoring fake-interactions (FI) out. The next step for quartic vertices follows a similar logic.