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

High Energy Physics - Theory 2024-10-02 v1 High Energy Physics - Phenomenology Mathematical Physics math.MP Quantum Physics

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

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Cite

@article{arxiv.2406.09515,
  title  = {Interpolating gauge-fixing for Yang-Mills-Chern-Simons theory in D=3},
  author = {Daniel O. R. Azevedo and Oswaldo M. Del Cima and Thadeu S. Dias and Emílio D. Pereira},
  journal= {arXiv preprint arXiv:2406.09515},
  year   = {2024}
}

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6 pages