Abstract
We use the linear delta expansion with a trial action based on single links to explore the phase structure of the mixedSU(2)-SO(3) lattice gauge theory. The method can be regarded as a systematic expansion going beyond mean field theory or the variational method, to which it is closely related in first order. AtO(δ 2) the line of first-order phase transitions is shown to terminate, and atO(δ 3) the boundaries between the different phases are well reproduced.
Similar content being viewed by others
References
A. Duncan, M. Moshe: Phys. Lett. 215B (1988) 352. For a recent review see: H.F. Jones: in: Proceedings of LP-HEP 91, p. 111. Singapore: World Scientific, 1992
P. M. Stevenson: Phys. Rev. D23 (1981) 2916
I.R.C. Buckley, A. Duncan, H.F. Jones: Imperial College preprint TP/91-92/24: Phys. Rev. D (to be published)
A. Duncan, H.F. Jones: Imperial College preprint TP/91-92/29: Phys. Rev. D (to be published)
A. Duncan, H.F. Jones: Nucl. Phys. B320 (1989) 189
I.R.C. Buckley, H.F. Jones: Phys. Rev. D45 (1992) 654
I.R.C. Buckley, H.F. Jones: Phys. Rev. D45 (1992) 2073
J.O. Akeyo, H.F. Jones: Imperial College preprint TP/91-92/27: Phys. Rev. D (to be published)
M. Creutz, G. Bhanot: Phys. Rev. D24 (1981) 3212
M. Creutz: Quarks, gluons and lattices, CUP 1983
L. Caneschi, I.G. Halliday, A. Schwimmer: Nucl. Phys. B200 [FS4] (1982) 409; I.G. Halliday, A. Schwimmer: Phys. Lett. 102B (1981) 337
R.C. Brower, D.A. Kessler, H. Levine: Nucl. Phys. B205 [FS5] (1982) 77
M. Baig, A. Cuervo: Nucl. Phys. B280 [FS18] (1987) 97
S.J. Anthony: Phys. Lett. 110B (1982) 271
J.B. Kogut, J. Polonyi, H.W. Wyld: Phys. Rev. D31 (1985) 3304
J.M. Drouffe: Phys. Lett. 105B (1981) 46; Nucl. Phys. B205 [FS4] (1982) 27
D.J. Pritchard: Phys. Lett. 106B (1981) 193
X. Zheng, C.I. Tan, T. Chen: Phys. Rev. D26 (1982) 2843
J.M. Alberty, H. Flyvberg, B. Lautrup: Nucl. Phys. B220 [FS8] (1983) 61
H. Ceccato, E. Dagotto, A. Moreo: Phys. Rev. D31 (1985) 1465
E. Dagotto, A. Moreo: Phys. Rev. D30 (1984) 1271
R. Dashen, U.M. Heller, H. Neuberger: Nucl. Phys. B215 [FS7] (1983) 360
K.M. Bitar, S. Gottlieb, C.K. Zachos: Phys. Rev. D26 (1982) 2853
C.P. Bachas, R.F. Dashen: Nucl. Phys. B210 [FS6] (1982) 583
X. Zheng, Z.G. Tan, J. Wang: Nucl. Phys. B287 (1987) 171
M. Creutz: J. Math. Phys. 19 (1978) 2043.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Akeyo, J.O., Jones, H.F. Optimization in the extended variational approach: TheSU(2)-SO(3) phase structure on the lattice. Z. Phys. C - Particles and Fields 58, 629–635 (1993). https://doi.org/10.1007/BF01553023
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01553023