Centre symmetric 3d effective actions for thermal SU(N) Yang-Mills from strong coupling series

Langelage J, Lottini S, Philipsen O (2011)
Journal of High Energy Physics 2011(2): 57.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Autor*in
Langelage, JensUniBi; Lottini, Stefano; Philipsen, Owe
Abstract / Bemerkung
We derive three-dimensional, Z(N)-symmetric effective actions in terms of Polyakov loops by means of strong coupling expansions, starting from thermal SU(N) Yang-Mills theory in four dimensions on the lattice. An earlier action in the literature, corresponding to the (spatial) strong coupling limit, is thus extended by several higher orders, as well as by additional interaction terms. We provide analytic mappings between the couplings of the effective theory and the parameters N-tau, beta of the original thermal lattice theory, which can be systematically improved. We then investigate the deconfinement transition for the cases SU(2) and SU(3) by means of Monte Carlo simulations of the effective theory. Our effective models correctly reproduce second order 3d Ising and first order phase transitions, respectively. Furthermore, we calculate the critical couplings beta(c)(N-tau) and find agreement with results from simulations of the 4d theory at the few percent level for N-tau = 4 - 16.
Stichworte
Lattice Gauge Field Theories; Confinement; Strong Coupling Expansion
Erscheinungsjahr
2011
Zeitschriftentitel
Journal of High Energy Physics
Band
2011
Ausgabe
2
Art.-Nr.
57
ISSN
1029-8479
eISSN
1029-8479
Page URI
https://pub.uni-bielefeld.de/record/2093925

Zitieren

Langelage J, Lottini S, Philipsen O. Centre symmetric 3d effective actions for thermal SU(N) Yang-Mills from strong coupling series. Journal of High Energy Physics. 2011;2011(2): 57.
Langelage, J., Lottini, S., & Philipsen, O. (2011). Centre symmetric 3d effective actions for thermal SU(N) Yang-Mills from strong coupling series. Journal of High Energy Physics, 2011(2), 57. https://doi.org/10.1007/JHEP02(2011)057
Langelage, J., Lottini, S., and Philipsen, O. (2011). Centre symmetric 3d effective actions for thermal SU(N) Yang-Mills from strong coupling series. Journal of High Energy Physics 2011:57.
Langelage, J., Lottini, S., & Philipsen, O., 2011. Centre symmetric 3d effective actions for thermal SU(N) Yang-Mills from strong coupling series. Journal of High Energy Physics, 2011(2): 57.
J. Langelage, S. Lottini, and O. Philipsen, “Centre symmetric 3d effective actions for thermal SU(N) Yang-Mills from strong coupling series”, Journal of High Energy Physics, vol. 2011, 2011, : 57.
Langelage, J., Lottini, S., Philipsen, O.: Centre symmetric 3d effective actions for thermal SU(N) Yang-Mills from strong coupling series. Journal of High Energy Physics. 2011, : 57 (2011).
Langelage, Jens, Lottini, Stefano, and Philipsen, Owe. “Centre symmetric 3d effective actions for thermal SU(N) Yang-Mills from strong coupling series”. Journal of High Energy Physics 2011.2 (2011): 57.

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arXiv: 1010.0951

Inspire: 871971

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