arXiv:2406.09515·v1·High Energy Physics — Theory
Interpolating gauge-fixing for Yang-Mills-Chern-Simons theory in D=3
Daniel O. R. Azevedo🇧🇷 · Oswaldo M. Del Cima🇧🇷 · Thadeu S. Dias🇧🇷 · Emílio D. Pereira🇧🇷
Abstract
The Yang-Mills-Chern-Simons theory in three-dimensional Minkowski space-time is studied in a gauge-fixing scheme which interpolates between the covariant gauge and light-cone gauge, the interpolating gauge-fixing. The ultraviolet finiteness of the theory is proved via the Becchi-Rouet-Stora (BRS) algebraic renormalization procedure, which allows us to demonstrate the vanishing of all -functions and all anomalous dimensions to all orders in perturbation theory.
Comments: 6 pages