Antisymmetric tensor matter fields: an abelian model

TL;DR

This paper introduces a renormalizable abelian gauge model with antisymmetric tensor matter fields, analyzing its quantization, renormalization group functions, and energy properties of free waves, revealing asymptotic freedom in certain interactions.

Contribution

It presents a novel abelian gauge model incorporating antisymmetric tensor matter fields with detailed quantization and renormalization analysis.

Findings

Transverse free waves convey no energy.

The axial-vector gauge coupling exhibits asymptotic freedom.

Tensor field self-couplings do not diminish at high energies.

Abstract

We present a simple renormalizable abelian gauge model which includes antisymmetric second-rank tensor fields as matter fields rather than gauge fields known for a long time. The free action is conformally rather than gauge invariant. The quantization of the free fields is analyzed and the one-loop renormalization-group functions are evaluated. Transverse free waves are found to convey no energy. The coupling constant of the axial-vector abelian gauge interaction exhibits asymptotically free ultraviolet behavior, while the self-couplings of the tensor fields do not asymptotically diminish.