### Determination of anisotropy coefficients for SU(3) gauge actions from the integral and matching methods

Engels J, Karsch F, Scheideler T (2000)
NUCLEAR PHYSICS B 564(3): 303-324.

Zeitschriftenaufsatz | Veröffentlicht | Englisch

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Abstract / Bemerkung
We use two non-perturbative methods to obtain the anisotropy derivatives of the coupling constants (the anisotropy coefficients) of SU(3) lattice gauge theory. These coefficients appear in the derivative formulae for the energy density and the pressure. We calculate them for the standard Wilson and two improved actions, the (2 x 2) and the Square Symanzik action. Both methods lead for all investigated actions to compatible results which are clearly different from their known asymptotic perturbative limits. With increasing beta the limits are however approached in all cases. Our findings strongly support the equivalence of the integral and derivative methods for the calculation of energy density and pressure. (C) 2000 Elsevier Science B.V. All rights reserved.
Stichworte
QCD equation of state; lattice gauge theory; anisotropy coefficients
Erscheinungsjahr
2000
Zeitschriftentitel
NUCLEAR PHYSICS B
Band
564
Ausgabe
3
Seite(n)
303-324
ISSN
0550-3213
Page URI
https://pub.uni-bielefeld.de/record/1620812

### Zitieren

Engels J, Karsch F, Scheideler T. Determination of anisotropy coefficients for SU(3) gauge actions from the integral and matching methods. NUCLEAR PHYSICS B. 2000;564(3):303-324.
Engels, J., Karsch, F., & Scheideler, T. (2000). Determination of anisotropy coefficients for SU(3) gauge actions from the integral and matching methods. NUCLEAR PHYSICS B, 564(3), 303-324. https://doi.org/10.1016/S0550-3213(99)00522-2
Engels, J., Karsch, F., and Scheideler, T. (2000). Determination of anisotropy coefficients for SU(3) gauge actions from the integral and matching methods. NUCLEAR PHYSICS B 564, 303-324.
Engels, J., Karsch, F., & Scheideler, T., 2000. Determination of anisotropy coefficients for SU(3) gauge actions from the integral and matching methods. NUCLEAR PHYSICS B, 564(3), p 303-324.
J. Engels, F. Karsch, and T. Scheideler, “Determination of anisotropy coefficients for SU(3) gauge actions from the integral and matching methods”, NUCLEAR PHYSICS B, vol. 564, 2000, pp. 303-324.
Engels, J., Karsch, F., Scheideler, T.: Determination of anisotropy coefficients for SU(3) gauge actions from the integral and matching methods. NUCLEAR PHYSICS B. 564, 303-324 (2000).
Engels, Jürgen, Karsch, Frithjof, and Scheideler, T. “Determination of anisotropy coefficients for SU(3) gauge actions from the integral and matching methods”. NUCLEAR PHYSICS B 564.3 (2000): 303-324.

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### Quellen

arXiv: hep-lat/9905002

Inspire: 499223