Nonperturbative ghost dynamics in the maximal abelian gauge

2007/08/31 by M. A. L. Capri, David Dudal, D. Dudal +4
Mathematics · Physics and Astronomy · #Abelian group #Advanced Mathematical Physics Problems #Cold Atom Physics and Bose-Einstein Condensates #Gauge (firearms) #Gauge symmetry #Gauge theory #Geometry #Goldstone #Goldstone boson #Higgs boson #Mathematical physics #Mathematics #Order (exchange) #Physics #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #Symmetry (geometry) #Symmetry breaking #Theoretical physics #Vacuum expectation value #hep-th

paper · pdf · doi:10.1088/1126-6708/2008/01/006

published as JHEP 0801:006,2008 · 16 pages. v2: version accepted for publication in JHEP

arxiv created 2007/12/19 · openalex publication_date 2008/01/03 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

Abstract

We construct the effective potential for the ghost condensate <f^abic^a c^b> in the maximal Abelian gauge. This condensate is an order parameter for a global continuous symmetry, which is spontaneously broken since a nonvanishing value of <f^abic^a c^b> lowers the vacuum energy. The associated Goldstone mode turns out to be unphysical.

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