New scheme for the running coupling constant in gauge theories using Wilson loops

  title={New scheme for the running coupling constant in gauge theories using Wilson loops},
  author={Erek Bilgici and Antonino Flachi and Etsuko Itou and Masafumi Kurachi and C.-J. David Lin and Hideo Matsufuru and Hiroshi Ohki and Tetsuya Onogi and Takeshi Yamazaki},
  journal={Physical Review D},
We propose a new renormalization scheme of the running coupling constant in general gauge theories using the Wilson loops. The renormalized coupling constant is obtained from the Creutz ratio in lattice simulations and the corresponding perturbative coefficient at the leading order. The latter can be calculated by adopting the zeta-function resummation techniques. We perform a benchmark test of our scheme in quenched QCD with the plaquette gauge action. The running of the coupling constant is… 

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  • A. SherletovD. Schaich
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    Proceedings of The 38th International Symposium on Lattice Field Theory — PoS(LATTICE2021)
  • 2022
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Tables of integrals

A New Method of Calculating the Running Coupling Constant

We propose a new method to compute the running coupling constant of gauge theories on the lattice. We first give the definition of the running coupling i n the new scheme using the Wilson loops in a