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Scaling, asymptotic scaling, and Symanzik improvement: Deconfinement temperature in SU(2) pure gauge theory
Phys. Rev. D 49, 511 – Published 1 January, 1994
DOI: https://doi.org/10.1103/PhysRevD.49.511
Abstract
We report on a high statistics simulation of SU(2) pure gauge field theory at finite temperature, using the Symanzik action. We determine the critical coupling for the deconfinement phase transition on lattices up to 8 × 24, using finite size scaling techniques. We find that the pattern of asymptotic scaling violation is essentially the same as the one observed with conventional, not improved action. On the other hand, the use of effective couplings defined in terms of plaquette expectation values shows a precocious scaling, with respect to an analogous analysis of data obtained by the use of the Wilson action, which we interpret as an effect of improvement.
References (28)
- J. Fingberg, U. Heller, and F. Karsch, Nucl. Phys. B392, 493 (1993)
- J. Engels, J. Fingberg, and D. E. Miller, Nucl. Phys. B387, 501 (1992)
- G. P. Lepage and P. B. Mackenzie, Phys. Rev. D 48, 2250 (1993)
- G. Parisi, in High Energy Physics—1980, Proceedings of the XXth International Conference, Madison, Wisconsin, 1980, edited by L. Durand and L. Pondram, AIP Conf. Proc. No. 68 (AIP, New York, 1981)
- G. Martinelli, G. Parisi, and R. Petronzio, Phys. Lett. 100B, 485 (1981)
- G. Curci and R. Tripiccione, Phys. Lett. 151B, 145 (1985)
- K. Symanzik, Nucl. Phys. B226, 187 (1983)
- K. Symanzik, Nucl. Phys. B226, 205 (1983)
- G. Parisi, Nucl. Phys. B254, 58 (1985)
- K. Symanzik, in Recent Developments in Gauge Theories, Proceedings of the Cargese Summer Institute, Cargese, France, 1979, edited by G. 't Hooft , NATO Advanced Study Institute Series B: Physics Vol. 59 (Plenum, New York, 1980) in Mathematical Problems in Theoretical Physics, Proceedings of the VIth International Conference, Berlin, West Germany, 1991, edited by R. Schrader, R. Seiler, and D. A. Uhlenbrock, R. Schrader Lecture Notes in Physics Vol. 153, edited by (Springer, Berlin, 1982) in Non-perturbative Field Theory and QCD, edited by R. Jengo (World Scientific, Singapore, 1983)
- P. Weisz, Nucl. Phys. B212, 1 (1983)
- G. Curci, P. Menotti, and G. Paffuti, Phys. Lett. 130B, 205 (1983)
- M. Lüscher and P. Weisz, Commun. Math. Phys. 97, 59 (1985) ibid.98, 433(E) (1985)
- J. Engels, F. Karsch, H. Satz, and I. Montvay, Nucl. Phys. B205, 545 (1982)
- A. M. Polyakov, Phys. Lett. 72B, 477 (1978)
- B. Svetitsky and G. Yaffe, Nucl. Phys. B210, 423 (1982)
- F. Gutbrod and I. Montvay, Phys. Lett. 136B, 411 (1984)
- J. Engels, J. Fingberg, and V. K. Mitrjushkin, Phys. Lett. B 298, 154 (1992)
- M. N. Barber, in Phase Transition and Critical Phenomena, edited by C. Domb and J. Leibowitz (Academic, New York, 1981), Vol. 8
- A. Bartoloni et al., Int. J. Mod. Phys. C (to be published)
- A. Bartoloni et al., Int. J. Mod. Phys. C (to be published)
- A. D. Kennedy and B. J. Pendleton, Phys. Lett. 156B, 393 (1985)
- A. M. Ferrenberg and R. H. Swendsen, Phys. Rev. Lett. 61, 2635 (1988)
- A. M. Ferrenberg and R. H. Swendsen, Phys. Rev. Lett. 63, 1195 (1989)
- P. Weisz and R. Wohlert, Nucl. Phys. B236, 397 (1984) ibid.B247, 544(E) (1984)
- J. P. Ma and W. Wetzel, Phys. Lett. B 176, 441 (1986)
- Eve Kovacs, Phys. Rev. D 25, 871 (1982)
- N. A. Alves, B. A. Berg, and S. Sanielevici, Nucl. Phys. B376, 218 (1992)