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arXiv · hep-lat/9609027

Effective actions for finite temperature Lattice Gauge Theories

M. Billo'·M. Caselle·A. D'Adda·S. Panzeri
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Abstract

We consider a lattice gauge theory at finite temperature in ($d$+1) dimensions with the Wilson action and different couplings $β_t$ and $β_s$ for timelike and spacelike plaquettes. By using the character expansion and Schwinger-Dyson type equations we construct, order by order in $β_s$, an effective action for the Polyakov loops which is exact to all orders in $β_t$. As an example we construct the first non-trivial order in $β_s$ for the (3+1) dimensional SU(2) model and use this effective action to extract the deconfinement temperature of the model.

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M. Billo', M. Caselle, A. D'Adda, S. Panzeri. 1996-09-12. Effective actions for finite temperature Lattice Gauge Theories. https://doi.org/10.1016/s0920-5632(96)00687-1

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