( 2 + 1 ) − d Georgi-Glashow model near critical temperature

We study correlation 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 1 effect in the near critical region. We also calculate the contribution of magnetic vortices to the entropy and the free energy of the system.