UV finiteness of 3D Yang-Mills theories with a regulating mass in the Landau gauge

TL;DR

This paper proves that 3D Yang-Mills theories with a mass term in the Landau gauge are ultraviolet finite at all orders, ensuring their consistency and renormalizability.

Contribution

It demonstrates the all-order ultraviolet finiteness of 3D Yang-Mills theories with a mass term in specific gauges, extending previous results.

Findings

Ultraviolet finiteness proven to all orders

Extension to Curci-Ferrari gauge established

Mass term preserves renormalizability

Abstract

We prove that three-dimensional Yang-Mills theories in the Landau gauge supplemented with a infrared regulating, parity preserving mass term are ultraviolet finite to all orders. We also extend this result to the Curci-Ferrari gauge.