A mean field approach for the disorder parameters is obtained by applying the duality transformation to a Bethe-Peierls type approximation which involves finite clusters. Applications to Z2 models with global and local symmetries are discribed and systematical improvements are obtained by considering clusters of increasing size. For gauge theories a manifestly gauge-invariant mean field is obtained: the phenomenology of the spontaneous symmetry breaking is reproduced by considering the suitable order parameters and the standard mean field for gauge theories in four dimensions is reinterpreted.
Mean Field For Topological Excitations of Z2 Spin and Gauge-models
MARITAN, AMOS;
1986
Abstract
A mean field approach for the disorder parameters is obtained by applying the duality transformation to a Bethe-Peierls type approximation which involves finite clusters. Applications to Z2 models with global and local symmetries are discribed and systematical improvements are obtained by considering clusters of increasing size. For gauge theories a manifestly gauge-invariant mean field is obtained: the phenomenology of the spontaneous symmetry breaking is reproduced by considering the suitable order parameters and the standard mean field for gauge theories in four dimensions is reinterpreted.
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