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
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Measuring the derivatives of couplings with respect to lattice spacing for dynamical Wilson fermions. / Blum, T.; Kärkkäinen, L.; Toussaint, William D.
In: Nuclear Physics B (Proceedings Supplements), Vol. 34, No. C, 1994, p. 320-323.Research output: Contribution to journal › Article
}
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 -