Interpolating gauge-fixing for Yang–Mills–Chern–Simons theory in $$D=3$$

Author:

Azevedo Daniel O. R.ORCID,Del Cima Oswaldo M.,Dias Thadeu S.,Pereira Emílio D.

Abstract

AbstractThe 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 $$\beta $$ β -functions and all anomalous dimensions to all orders in perturbation theory.

Publisher

Springer Science and Business Media LLC

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