Gravitational Higgs Mechanism: The Role of Determinantal Invariants

TL;DR

This paper investigates how including determinantal invariants in the gravitational Higgs mechanism influences the graviton mass, finding that certain potential forms do not alter the mass calculation.

Contribution

It introduces the analysis of determinantal invariants in the gravitational Higgs mechanism and identifies conditions under which they do not affect the graviton mass.

Findings

Determinantal invariants can be incorporated without changing the graviton mass under specific potential forms.

An exponential form of the potential related to determinantal invariants preserves the graviton mass.

The analysis extends the understanding of Higgs mechanisms in gravity theories.

Abstract

The Higgs mechanism for gravity, as proposed by 't Hooft in arXiv:0708.3184 [hep-th], can be augmented by including determinantal invariants. We analyze the effects of determinantal invariants in such a set up. We find that the part of the potential that depends on the determinantal invariants, if obtains a specific exponential form in terms of its argument, may not affect the graviton mass calculated.