2+1 d Georgi Glashow Model Near Critical Temperature

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.

arXiv comment20 pages, 4 figures

References in corpus (8)

• Instantons in QCD
• Thermodynamics of SU(3) Lattice Gauge Theory
• Deconfining Phase Transition as a Matrix Model of Renormalized Polyakov Loops
• Chiral matrix model of the semi-Quark Gluon Plasma in QCD
• Deconfining Phase Transition in 2+1 D: the Georgi-Glashow Model
• Critical Temperature of the Deconfining Phase Transition in (2+1)d Georgi-Glashow Model
• Instanton molecules at high temperature - the Georgi-Glashow model and beyond
• U_A(1) Anomaly at high temperature: the scalar-pseudoscalar splitting in QCD