Tensor Self Energy in a Vector-Tensor Model

TL;DR

This paper calculates the tensor self energy at one loop in a vector-tensor model where tensor degrees are eliminated, revealing divergences that suggest the need for additional kinetic terms not present initially.

Contribution

It identifies divergences in the tensor self energy calculation that imply the necessity of adding a kinetic term for the tensor field, addressing a key inconsistency.

Findings

Divergences cannot be removed without new kinetic terms.

The model's classical action lacks the necessary tensor kinetic term.

A potential resolution involves modifying the classical action to include this term.

Abstract

The tensor self energy is computed at one loop order in a model in which a vector and tensor interact in a way that eliminates all tensor degrees of freedom. Divergencies arise which cannot be eliminated without introducing a kinetic term for the tensor field which does not appear in the classical action. We comment on a possible resolution of this puzzle.