Numerical study of O(a) improved Wilson quark action on anisotropic lattice

Matsufuru, Hideo; Onogi, Tetsuya; Umeda, Takashi

doi:10.1103/PhysRevD.64.114503

Numerical study of O(a) improved Wilson quark action on anisotropic lattice

Jun, 2001

27 pages

Published in:

Phys.Rev.D 64 (2001) 114503

e-Print:

hep-lat/0107001 [hep-lat]

DOI:

10.1103/PhysRevD.64.114503

Report number:

YITP-01-53,
UTCCP-P-108,
RCNP-TH01017

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Abstract:

The

O(a)

improved Wilson quark action on the anisotropic lattice is investigated. We carry out numerical simulations in the quenched approximation at three values of lattice spacing (

a_{\sigma}^{-1}=1

--2 GeV) with the anisotropy

\xi=a_{\sigma}/a_{\tau}=4

, where

a_{\sigma}

and

a_{\tau}

are the spatial and the temporal lattice spacings, respectively. The bare anisotropy

\gamma_F

in the quark field action is numerically tuned by the dispersion relation of mesons so that the renormalized fermionic anisotropy coincides with that of gauge field. This calibration of bare anisotropy is performed to the level of 1 % statistical accuracy in the quark mass region below the charm quark mass. The systematic uncertainty in the calibration is estimated by comparing the results from different types of dispersion relations, which results in 3 % on our coarsest lattice and tends to vanish in the continuum limit. In the chiral limit, there is an additional systematic uncertainty of 1 % from the chiral extrapolation. Taking the central value

\gamma_F=\gamma_F^*

from the result of the calibration, we compute the light hadron spectrum. Our hadron spectrum is consistent with the result by UKQCD Collaboration on the isotropic lattice. We also study the response of the hadron spectrum to the change of anisotropic parameter,

\gamma_F \to \gamma_F^* + \delta\gamma_F

. We find that the change of

\gamma_F

by 2 % induces a change of 1 % in the spectrum for physical quark masses. Thus the systematic uncertainty on the anisotropic lattice, as well as the statistical one, is under control.

Note:

27 pages, 25 eps figures, LaTeX Report-no: YITP-01-53, UTCCP-P-108, RCNP-Th01017

gauge field theory: SU(3)
fermion: lattice field theory
lattice: anisotropy
lattice field theory: action
approximation: quenching
dispersion relation
hadron: mass spectrum
numerical calculations: Monte Carlo

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