Effective actions for finite temperature Lattice Gauge Theories

Details Effective actions for finite temperature Lattice Gauge Theories Effective actions for finite temperature Lattice Gauge Theories

1996-09-12

arxiv.org/abs/hep-lat/9609027v1

Nucl.Phys.Proc.Suppl. 53 (1997) 459-461

Physics

High Energy Physics

High Energy Physics - Lattice

Talk presented at LATTICE96(finite temperature)

Scientific paper

10.1016/S0920-5632(96)00687-1

We consider a lattice gauge theory at finite temperature in ($d$+1) dimensions with the Wilson action and different couplings $\beta_t$ and $\beta_s$ for timelike and spacelike plaquettes. By using the character expansion and Schwinger-Dyson type equations we construct, order by order in $\beta_s$, an effective action for the Polyakov loops which is exact to all orders in $\beta_t$. As an example we construct the first non-trivial order in $\beta_s$ 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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