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

T. Blum; L. Kärkkäinen; D. Toussaint

doi:10.1016/0920-5632(94)90379-4

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

T. Blum, L. Kärkkäinen, D. Toussaint

Physics

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2 Scopus citations

Abstract

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.

Original language	English (US)
Pages (from-to)	320-323
Number of pages	4
Journal	Nuclear Physics B (Proceedings Supplements)
Volume	34
Issue number	C
DOIs	https://doi.org/10.1016/0920-5632(94)90379-4
State	Published - Apr 1994

ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics
Nuclear and High Energy Physics

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10.1016/0920-5632(94)90379-4

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title = "Measuring the derivatives of couplings with respect to lattice spacing for dynamical Wilson fermions",

abstract = "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.",

author = "T. Blum and L. K{\"a}rkk{\"a}inen and D. Toussaint",

note = "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.",

year = "1994",

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doi = "10.1016/0920-5632(94)90379-4",

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

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EP - 323

JO - Nuclear Physics B (Proceedings Supplements)

JF - Nuclear Physics B (Proceedings Supplements)

IS - C

ER -

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

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