https://doi.org/10.1140/epjc/s10052-024-13279-3
Regular Article - Physics III: Quantum Field Theory and Gravity - Fundamental and Formal Aspects
Interpolating gauge-fixing for Yang–Mills–Chern–Simons theory in 
1
Departamento de Física, Universidade Federal de Viçosa, Campus Universitário, Avenida Peter Henry Rolfs s/n, 36570-900, Viçosa, MG, Brazil
2
Ibitipoca Institute of Physics (IbitiPhys), MG, Conceição do Ibitipoca, 36140-000, Brazil
Received:
17
June
2024
Accepted:
21
August
2024
Published online:
10
September
2024
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.
Dedicated to the memory of Prof. Manfred Schweda (1939–2017).
© The Author(s) 2024
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