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Renormalization-group flow in the 3D Georgi-Glashow model

2001/11/24 by Dmitri Antonov, Д.В. Антонов, Antonov, Dmitri
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions #Theoretical and Computational Physics #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/0111223

Talk given at the 10th Lomonosov Conference on Elementary Particle Physics, Moscow, Russia, August 23rd - 29th, 2001; 7 pages, LaTeX2e, uses ws-p8-50x6-00.cls, no figures

arxiv created 2001/11/24 · openalex publication_date 2001/11/24 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The renormalization-group (RG) flow in the finite-temperature (2+1)-dimensional Georgi-Glashow model is explored. This is done in the limit when the squared electric coupling constant is much larger than the mass of the Higgs field. The novel equation describing the evolution of the Higgs mass is derived and integrated along the separatrices of the RG flow in the limit when the original theory reduces to the 2D XY model. In particular, it is checked that in the vicinity of the phase-transition point, there exists a range of parameters allowing to the Higgs mass evolved along some of the separatrices to remain much smaller than the squared electric coupling constant.

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