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The Maximal Abelian Gauge in SU(N) gauge theories and thermal monopoles for N=3

2013/08/31 by Claudio Bonati, Massimo D’Elia, Massimo D'Elia
Engineering · Mathematics · Physics and Astronomy · #Abelian group #Black Holes and Theoretical Physics #Combinatorics #Deconfinement #Gauge (firearms) #Gauge theory #Magnetic monopole #Mathematical physics #Mathematics #Particle physics #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #Superconducting Materials and Applications #hep-lat #hep-ph #hep-th

paper · pdf · doi:10.1016/j.nuclphysb.2013.10.004

published as Nucl.Phys. B877, 233-259, 2013 · 22 pages, 12 figure, 1 table. Final version published in Nuclear Physics B

openalex publication_date 2013/10/14 · arxiv created 2013/11/18 · arxiv updated 2015/06/16 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We discuss and propose a proper extension of the Abelian projection based on the Maximal Abelian Gauge to SU(N) gauge theories. Based, on that, we investigate the properties of thermal Abelian monopoles in the deconfined phase of the SU(3) pure gauge theory. Such properties are very similar to those already found for SU(2), confirming the relevance of the magnetic component close to Tc and the possible condensation of thermal monopoles as the deconfinement temperature is crossed from above. Moreover, we study the correlation functions among monopoles related to different U(1) subgroups, which show interesting features and reveal the presence of non-trivial interactions.

Citations