Phase diagram ofand U(1) gauge theories in three dimensions
- 15 May 1980
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 21 (10), 2892-2902
- https://doi.org/10.1103/physrevd.21.2892
Abstract
We present Monte Carlo studies of and U(1) lattice gauge theories in three space-time dimensions. The gauge theory is analyzed via its dual spin system. We find that has one phase transition that moves to zero temperature as . The U(1) theory has only a single, confining phase. A study of Wilson loops in shows that the coefficient of the area law vanishes for all temperatures below the critical temperature. No such zero is seen in the string tension for U(1) gauge theory. We also study the U(1) gauge theory in five dimensions and see a clear signal for a first-order phase transition.
Keywords
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