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

N1 - Funding Information:
This work is supported in part by the Grant-in-Aid of the Ministry of Education (Nos. 19540286, 19740160 and 20039005). E. B. is supported by the FWF Doktoratskolleg Hadrons in Vacuum, Nuclei and Stars (DK W1203-N08). A. F. acknowledges the support of JSPS, Grant N.19GS0210. C.-J D. L. is supported by the National Science Council of Taiwan via grant number 96-2112-M-009-020-MY3. H. O. thanks N. Yamada for his support, especially by Grand-in-Aid for Scientific Research No. 20025010 from the Ministry of Education, Culture, Sports, Science and Technology of Japan. T.Y. is the Yukawa Fellow supported by Yukawa Memorial Foundation. Numerical simulation was carried out on the vector supercomputer NEC SX-8 in YITP, Kyoto University.
Publisher Copyright:
© Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-ShareAlike Licence.

PY - 2008

Y1 - 2008

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.

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M3 - Conference article

AN - SCOPUS:85053291074

SN - 1824-8039

VL - 66

JO - Proceedings of Science

JF - Proceedings of Science

T2 - 26th International Symposium on Lattice Field Theory, LATTICE 2008

Y2 - 14 July 2008 through 19 July 2008

ER -