### 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 | |

State | Published - 1994 |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*Nuclear Physics B (Proceedings Supplements)*,

*34*(C), 320-323. https://doi.org/10.1016/0920-5632(94)90379-4

**Measuring the derivatives of couplings with respect to lattice spacing for dynamical Wilson fermions.** / Blum, T.; Kärkkäinen, L.; Toussaint, William D.

Research output: Contribution to journal › Article

*Nuclear Physics B (Proceedings Supplements)*, vol. 34, no. C, pp. 320-323. https://doi.org/10.1016/0920-5632(94)90379-4

}

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, William D

PY - 1994

Y1 - 1994

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.

UR - http://www.scopus.com/inward/record.url?scp=33645791215&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33645791215&partnerID=8YFLogxK

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 -