Infrared physics of the $\mathrm{SU}(2)$ Georgi-Glashow crossover transition
High Energy Physics - Lattice
2021-11-18 v1
Abstract
We perform a lattice study of the phase transition in the Georgi-Glashow model in three dimensions, where the gauge symmetry is broken to by the Higgs mechanism and a photon-like state appears. Due to condensation of monopoles the photon acquires a mass, which depends on the number density of the monopoles. We show that the monopole density can be renormalised on the lattice using gradient flow. Our preliminary results suggest that Polyakov's semiclassical relation between the photon mass and the renormalised monopole density is valid also at the nonperturbative level.
Keywords
Cite
@article{arxiv.2111.09097,
title = {Infrared physics of the $\mathrm{SU}(2)$ Georgi-Glashow crossover transition},
author = {Lauri Niemi and Kari Rummukainen and Riikka Seppä and David Weir},
journal= {arXiv preprint arXiv:2111.09097},
year = {2021}
}
Comments
7 pages, 5 figures. The 38th International Symposium on Lattice Field Theory, LATTICE2021, 26th-30th July, 2021, Zoom/Gather@Massachusetts Institute of Technology