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Phase transitions in abelian lattice gauge theories

Srinath Cheluvaraja
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Abstract

We study the phase transition in the abelian lattice gauge theory using the Wilson-Polyakov line as the order parameter. The Wilson-Polyakov line remains very small at strong coupling and becomes non-zero at weak coupling, signalling a confinement to deconfinement phase transition. The decondensation of monopole loops is responsible for this phase transition. A finite size scaling analysis of the susceptibility of the Wilson line gives a ratio for $γ/ν$ which is quite close to the corresponding value in the 3-d planar model. A scaling behaviour for the monopole loop distribution function is also established at the point of the second order phase transition. A measurement of the plaquette susceptibility at the transition point shows that it does not scale with the four dimensional volume as is expected of a first order bulk transition.

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Srinath Cheluvaraja. 1998-12-15. Phase transitions in abelian lattice gauge theories. https://arxiv.org/abs/hep-lat/9705041

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