出版社：SISSA, Scuola Internazionale Superiore di Studi Avanzati
摘要：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.
