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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🇧🇷

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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

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