TY - JOUR
T1 - Variational calculation of vacua in the Z(2) gauge theory
AU - Horn, D.
AU - Katznelson, E.
N1 - Funding Information:
* Work supported in part by the Israel Commission for Basic Research & US-Israel Bi-National Science Foundation (BSF).
PY - 1981/8/24
Y1 - 1981/8/24
N2 - We apply a variational technique which is a generalization of mean field theory of a local gauge theory in 2 + 1 dimensions. We reproduce the correct features of the gauge and matter Z(2) theory within the matter-screening phase. Using big enough clusters of links, we calculate the behaviour of a Wilson loop. Applying the method to the pure gauge theory, we obtain two phases characterized by order and disorder of local surface order parameters. The clusters calculation leads to a first-order transition for the pure gauge theory and to a non-leading minimum for the gauge screening phase of the gauge with matter theory. Yet it can be employed to calculate the physical features inside all the phases of these theories.
AB - We apply a variational technique which is a generalization of mean field theory of a local gauge theory in 2 + 1 dimensions. We reproduce the correct features of the gauge and matter Z(2) theory within the matter-screening phase. Using big enough clusters of links, we calculate the behaviour of a Wilson loop. Applying the method to the pure gauge theory, we obtain two phases characterized by order and disorder of local surface order parameters. The clusters calculation leads to a first-order transition for the pure gauge theory and to a non-leading minimum for the gauge screening phase of the gauge with matter theory. Yet it can be employed to calculate the physical features inside all the phases of these theories.
UR - http://www.scopus.com/inward/record.url?scp=49049144972&partnerID=8YFLogxK
U2 - 10.1016/0550-3213(81)90556-3
DO - 10.1016/0550-3213(81)90556-3
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AN - SCOPUS:49049144972
SN - 0550-3213
VL - 190
SP - 237
EP - 252
JO - Nuclear Physics, Section B
JF - Nuclear Physics, Section B
IS - 2
ER -