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The Maximal Abelian Gauge in SU(N) Gauge Theories and Thermal Monopoles for N = 3

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arxiv 1308.0302 v2 pith:CG2MGGHX submitted 2013-08-01 hep-lat hep-phhep-th

Claudio Bonati , Massimo D'Elia This is my paper · ORCID
classification hep-lathep-phhep-th
keywords gaugeabelianmonopolesthermalmaximalpropertiestheoriesabove
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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.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Cartan Fluxes in $SU(3)$ Lattice Gauge Theory

    hep-lat 2026-04 unverdicted novelty 5.0 of 10

    A root-lattice based DeGrand-Toussaint algorithm detects SU(3) monopoles with a density about 15% lower than the standard U(1)^3 method and yields Weyl-symmetric charge counts.

  2. Topological Data Analysis of Abelian Magnetic Monopoles in Gauge Theories

    hep-lat 2025-01 conditional novelty 5.0 of 10

    Topological data analysis observables built from magnetic monopole current networks reproduce the known deconfinement critical coupling in compact U(1) and SU(3) lattice gauge theory.

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