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

@article{Bilgici2009NewSF,
  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},
  year={2009},
  volume={80},
  pages={034507}
}
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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References

SHOWING 1-10 OF 36 REFERENCES

Spectrum of SU(2) lattice gauge theory with two adjoint Dirac flavours

An SU(2) gauge theory with two fermions transforming under the adjoint representation of the gauge group may appear conformal or almost conformal in the infrared. We use lattice simulations to study…

Fermions in higher representations. Some results about SU(2) with adjoint fermions.

We discuss the lattice formulation of gauge theories with fermions in arbitrary representations of the color group, and present the implementation of the RHMC algorithm for simulating dynamical…

Nearly conformal electroweak sector with chiral fermions

SU(3) gauge theory with dynamical overlap fermions in the 2-index symmetric (sextet) representation is considered. This model may be a viable model of the electroweak symmetry breaking sector along…

Phase structure of SU(3) gauge theory with two flavors of symmetric-representation fermions

We have performed numerical simulations of SU(3) gauge theory coupled to ${N}_{f}=2$ flavors of symmetric-representation fermions. The fermions are discretized with the tadpole-improved clover…

Lattice study of conformal behavior in SU(3) Yang-Mills theories

Using lattice simulations, we study the extent of the conformal window for an SU(3) gauge theory with N{sub f} Dirac fermions in the fundamental representation. We extend our recently reported work,…

Probing technicolor theories with staggered fermions

One exciting possibility of new physics beyond the Standard Model is that the fundamental Higgs sector is replaced by a strongly-interacting gauge theory, known as technicolor. A viable theory must…

Higher representations on the lattice: numerical simulations. SU(2) with adjoint fermions

We discuss the lattice formulation of gauge theories with fermions in arbitrary representations of the color group and present in detail the implementation of the hybrid Monte Carlo (HMC)/rational…

Proc

  • Natl. Acad. Sci. U.S.A. 35, 371
  • 1949

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…