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On ghost condensation, mass generation and Abelian dominance in the maximal Abelian gauge

2002/09/30 by David Dudal, Henri Verschelde · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-th

paper · pdf · doi:10.1088/0305-4470/36/31/312

published as J.Phys.A36:8507-8516,2003 · 7 pages; uses revtex4

arxiv created 2003/01/08 · openalex publication_date 2003/07/22 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

Recent work claimed that the off-diagonal gluons (and ghosts) in pure Yang–Mills theories, with maximal Abelian gauge (MAG) fixing, attain a dynamical mass through an off-diagonal ghost condensate. This condensation takes place due to a quartic ghost interaction, unavoidably present in MAG for renormalizability purposes. The off-diagonal mass can be seen as evidence for Abelian dominance. We discuss why ghost condensation of the type discussed in those works cannot be the reason for the off-diagonal mass and Abelian dominance, since it results in a tachyonic mass. We also point out what the full mechanism behind the generation of a real mass might look like.

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