Effective actions for finite temperature lattice gauge theories

• Published in: Nuclear physics. Section B, Proceedings supplement Vol. 53; no. 1; pp. 459 - 461
• Main Authors: Billó, M., Caselle, M., D'Adda, A., Panzeri, S.
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01-02-1997
• ISSN: 0920-5632; 1873-3832
• DOI: 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
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.