Self-interacting charged massive spin two particles in Minkowski spacetime

TL;DR

This paper constructs a model of self-interacting charged massive spin-two particles in Minkowski spacetime, analyzing its properties and implications for symmetry and the Higgs mechanism.

Contribution

It introduces a ghost-free potential for charged massive spin-two fields and explores the vacuum structure, challenging the idea that the Higgs mechanism arises from such models.

Findings

Trivial vacuum is the only stable solution due to internal symmetry.

The model suggests the Higgs mechanism may not be induced by this spin-two field.

The constructed model is ghost-free and consistent in Minkowski spacetime.

Abstract

A model of the self-interacting charged massive spin-two field is constructed. We investigate several properties of the model and find that the trivial vacuum is only allowed due to the internal symmetry. This suggests that the Higgs mechanism might not be induced by the model of the massive spin-two field with the ghost-free potential.