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… 

Search for the IR fixed point in the Twisted Polyakov Loop scheme (II)

We measure the renormalized coupling in the Twisted Polyakov loop scheme for SU(3) gauge theory coupled with $N_f=12$ fundamental fermions. To find the infrared fixed point of this theory, we focus

Study of the scaling properties in SU(2) gauge theory with eight flavors

We present our preliminary study of the SU(2) gauge theory with 8 flavors of fermions in fundamental representation. This theory could be a candidate of the gauge theory with conformal fixed point.

Calculating the running coupling in strong electroweak models

One possibility for Beyond Standard Model physics is a new strongly-interacting gauge theory. One way to determine if a non-abelian gauge theory is QCD-like or conformal is to measure the running of

Properties of the twisted Polyakov loop coupling and the infrared fixed point in the SU(3) gauge theories

We report the nonperturbative behavior of the twisted Polyakov loop (TPL) coupling constant for the SU(3) gauge theories defined by the ratio of Polyakov loop correlators in finite volume with

Non-perturbative renormalization and low mode averaging with domain wall fermions

This thesis presents an improved method to calculate renormalization constants in a regularization invariant momentum scheme using twisted boundary conditions. This enables us to simulate with

Non-perturbative Renormalization Group in Lattice Gauge Theory

Our main focus is on developing non-perturbative lattice renormalization schemes. Key concepts of contemporary theoretical physics such as universality, self-similarity, scaling, data collapse and

The conformal window on the lattice

Lattice simulations can play an important role in the study of dynamical electroweak symmetry breaking by providing quantitative results on the nonperturbative dynamics of candidate theories. For

Investigations of supersymmetric Yang--Mills theories

  • A. SherletovD. Schaich
  • Physics
    Proceedings of The 38th International Symposium on Lattice Field Theory — PoS(LATTICE2021)
  • 2022
We present new results from ongoing lattice investigations of supersymmetric Yang–Mills (SYM) theories in three and four space-time dimensions. First considering the maximally supersymmetric 3d

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