TY - JOUR

T1 - Measuring the derivatives of couplings with respect to lattice spacing for dynamical Wilson fermions

AU - Blum, T.

AU - Kärkkäinen, L.

AU - Toussaint, D.

N1 - Funding Information:
Calculations were carried out on the Paragon and iPSC/860 at SDSC and on the Paragon at ORNL. This research was supported by the United States NSF and DOE.

PY - 1994/4

Y1 - 1994/4

N2 - In finite temperature QCD, the calculation of thermodynamic quantities requires the derivatives of the couplings with respect to lattice spacings in different directions. A method of calculating these derivatives from measurements of long distance observables on a set of three lattices with symmetric and asymmetric couplings is presented. Our simulations at β = 5.3 and κ = 0.158 indicate that an asymmetric change in the gauge couplings does not produce an asymmetric lattice, within statistical errors, while changing κ asymmetrically does produce different lattice spacings. This indicates that the derivatives of the gauge couplings with respect to different lattice spacings are large and their perturbative values should not be used in the calculation of nonperturbative thermodynamic quantities.

AB - In finite temperature QCD, the calculation of thermodynamic quantities requires the derivatives of the couplings with respect to lattice spacings in different directions. A method of calculating these derivatives from measurements of long distance observables on a set of three lattices with symmetric and asymmetric couplings is presented. Our simulations at β = 5.3 and κ = 0.158 indicate that an asymmetric change in the gauge couplings does not produce an asymmetric lattice, within statistical errors, while changing κ asymmetrically does produce different lattice spacings. This indicates that the derivatives of the gauge couplings with respect to different lattice spacings are large and their perturbative values should not be used in the calculation of nonperturbative thermodynamic quantities.

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U2 - 10.1016/0920-5632(94)90379-4

DO - 10.1016/0920-5632(94)90379-4

M3 - Article

AN - SCOPUS:33645791215

VL - 34

SP - 320

EP - 323

JO - Nuclear and Particle Physics Proceedings

JF - Nuclear and Particle Physics Proceedings

SN - 2405-6014

IS - C

ER -