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arXiv · 1612.07267

2+1 d Georgi Glashow Model Near Critical Temperature

Candost Akkaya·Ibrahim Burak Ilhan·Alex Kovner
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Abstract

We study correlations functions of magnetic vortices $V$ and Polyakov loop $P$ operators in the 2+1 dimensional Georgi-Glashow model in the vicinity of the deconfining phase transition. In this regime the (dimensionally reduced) model is mapped onto a free theory of two massive Majorana fermions. We utilize this fermionic representation to explicitly calculate the expectation values of $V$ and $P$ as well as their correlators. In particular we show that the $VV$ correlator is large, and thus the anomalous breaking of the magnetic $U(1)$ symmetry is order one effect in the near critical region. We also calculate the contribution of magnetic vortices to the entropy and the free energy of the system.

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Candost Akkaya, Ibrahim Burak Ilhan, Alex Kovner. 2016-12-21. 2+1 d Georgi Glashow Model Near Critical Temperature. https://doi.org/10.1103/physrevd.95.085006

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