Abstract
Classical Heisenberg spin models on lattices possess mean field theories that are well defined real field theories on finite lattices. These mean field theories can be self consistently normal ordered. This leads to a considerable improvement over standard mean field theory. This concept is carried over to lattice gauge theories. We construct first an appropriate real mean field theory. The equations determining the Gaussian kernel necessary for self-consistent normal ordering of this mean field theory are derived.
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References
L.P. Kadanoff: Physics3, 255 (1966); K.G. Wilson: Phys. Rev.B4, 3174, 3184 (1971)
H.B. Nielsen, A. Patkos: Nucl. Phys.B195, 137 (1982), and earlier literature quoted there
G. Mack: Nucl. Phys.B235, [FS 11], 197 (1984)
J.M. Drouffe, J.B. Zuber: Phys. Rep.102, 1 (1983), (Chap. IV) and earlier literature quoted there
S.V. Tyablikov: Methods in the quantum theory of magnetism. New York Plenum, 1967
V.F. Müller, W. Rühl: Nucl. Phys.B210, [FS 6] 289 (1982)
B. Lautrup, W. Rühl: Z. Phys. C—Particles and Fields23, 49 (1984)
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Rühl, W. Mean fields and self consistent normal ordering of lattice spin and gauge field theories. Z. Phys. C - Particles and Fields 32, 265–278 (1986). https://doi.org/10.1007/BF01552505
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DOI: https://doi.org/10.1007/BF01552505