Symplectic gauge fields and dark matter

TL;DR

This paper explores symplectic gauge fields as a novel theoretical framework for fundamental interactions, proposing they could serve as weakly interacting dark matter candidates due to their unique coupling properties and mass generation mechanism.

Contribution

It introduces a consistent model of symplectic gauge fields with minimal gravitational coupling and demonstrates their potential role as dark matter through radiative mass generation.

Findings

Symplectic gauge fields only couple minimally with gravity.

Massive symplectic gauge fields can arise via the Coleman-Weinberg mechanism.

These fields are natural dark matter candidates due to weak interactions.

Abstract

The dynamics of symplectic gauge fields provides a consistent framework for fundamental interactions based on spin three gauge fields. One remarkable property is that symplectic gauge fields only have minimal couplings with gravitational fields and not with any other field of the Standard Model. Interactions with ordinary matter and radiation can only arise from radiative corrections. In spite of the gauge nature of symplectic fields they acquire a mass by the Coleman-Weinberg mechanism which generates Higgs-like mass terms where the gravitational field is playing the role of a Higgs field. Massive symplectic gauge fields weakly interacting with ordinary matter are natural candidates for the dark matter component of the Universe.