### Abstract

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 in the new scheme using the Wilson loops in a finite volume, and explain how the running of the coupling constant is extracted from the measurement of the volume dependence. The perturbative calculation of the renormalization constant to define the scheme is also given at the leading order. As a benchmark test of the new scheme we apply the method the case of the quenched QCD. We show the preliminary result from our numerical simulations which are carried out with plaquette gauge action for various lattice sizes and bare lattice couplings. With techniques to improve the statistical accuracy, we show that we can determine the non-perturbative running of the coupling constant in a wide range of the energy scale with relatively small number of gauge configurations in our scheme. We compare our lattice data of the running coupling constant with perturbative renormalization group evolution at one- and two-loop order, and confirm the consistency between them at high energy.

Original language | English |
---|---|

Journal | Proceedings of Science |

Volume | 66 |

Publication status | Published - 2008 Jan 1 |

Externally published | Yes |

Event | 26th International Symposium on Lattice Field Theory, LATTICE 2008 - Williamsburg, United States Duration: 2008 Jul 14 → 2008 Jul 19 |

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### ASJC Scopus subject areas

- General

### Cite this

*Proceedings of Science*,

*66*.

**A new method of calculating the running coupling constant.** / Bilgici, Erek; Flachi, Antonino; Itou, Etsuko; Kurachi, Masafumi; Lin, C. J.David; Matsufuru, Hideo; Ohki, Hiroshi; Onogi, Tetsuya; Yamazaki, Takeshi.

Research output: Contribution to journal › Conference article

*Proceedings of Science*, vol. 66.

}

TY - JOUR

T1 - A new method of calculating the running coupling constant

AU - Bilgici, Erek

AU - Flachi, Antonino

AU - Itou, Etsuko

AU - Kurachi, Masafumi

AU - Lin, C. J.David

AU - Matsufuru, Hideo

AU - Ohki, Hiroshi

AU - Onogi, Tetsuya

AU - Yamazaki, Takeshi

PY - 2008/1/1

Y1 - 2008/1/1

N2 - 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 in the new scheme using the Wilson loops in a finite volume, and explain how the running of the coupling constant is extracted from the measurement of the volume dependence. The perturbative calculation of the renormalization constant to define the scheme is also given at the leading order. As a benchmark test of the new scheme we apply the method the case of the quenched QCD. We show the preliminary result from our numerical simulations which are carried out with plaquette gauge action for various lattice sizes and bare lattice couplings. With techniques to improve the statistical accuracy, we show that we can determine the non-perturbative running of the coupling constant in a wide range of the energy scale with relatively small number of gauge configurations in our scheme. We compare our lattice data of the running coupling constant with perturbative renormalization group evolution at one- and two-loop order, and confirm the consistency between them at high energy.

AB - 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 in the new scheme using the Wilson loops in a finite volume, and explain how the running of the coupling constant is extracted from the measurement of the volume dependence. The perturbative calculation of the renormalization constant to define the scheme is also given at the leading order. As a benchmark test of the new scheme we apply the method the case of the quenched QCD. We show the preliminary result from our numerical simulations which are carried out with plaquette gauge action for various lattice sizes and bare lattice couplings. With techniques to improve the statistical accuracy, we show that we can determine the non-perturbative running of the coupling constant in a wide range of the energy scale with relatively small number of gauge configurations in our scheme. We compare our lattice data of the running coupling constant with perturbative renormalization group evolution at one- and two-loop order, and confirm the consistency between them at high energy.

UR - http://www.scopus.com/inward/record.url?scp=85053291074&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85053291074&partnerID=8YFLogxK

M3 - Conference article

AN - SCOPUS:85053291074

VL - 66

JO - Proceedings of Science

JF - Proceedings of Science

SN - 1824-8039

ER -