Combined study of the gluon and ghost condensates aμ2 and εabcc̄bcc in Euclidean SU(2) Yang-Mills theory in the Landau gauge


Capri, MAL, Dudal, D, Gracey, JA ORCID: 0000-0002-9101-2853, Lemes, VER, Sobreiro, RF, Sorella, SP and Verschelde, H (2006) Combined study of the gluon and ghost condensates aμ2 and εabcc̄bcc in Euclidean SU(2) Yang-Mills theory in the Landau gauge Physical Review D Particles Fields Gravitation and Cosmology, 73 (1). 014001-. ISSN 1550-7998, 1550-2368

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Abstract

The ghost condensate εabcc̄bcc is considered together with the gluon condensate Aμ2 in SU(2) Euclidean Yang-Mills theories quantized in the Landau gauge. The vacuum polarization ceases to be transverse due to the nonvanishing condensate εabcc̄bcc. The gluon propagator itself remains transverse. By polarization effects, this ghost condensate induces then a splitting in the gluon mass parameter, which is dynamically generated through Aμ2. The obtained effective masses are real when Aμ2 is included in the analysis. In the absence of Aμ2, the already known result that the ghost condensate induces effective tachyonic masses is recovered. At the one-loop level, we find that the effective diagonal mass becomes smaller than the off-diagonal one. This might serve as an indication for some kind of Abelian dominance in the Landau gauge, similar to what happens in the maximal Abelian gauge. © 2006 The American Physical Society.

Item Type: Article
Additional Information: LTH 661; arXiv Number: arXiv:hep-th/0508216v1. 18 pages. Published 4 January 2006. Issue: January 2006.
Uncontrolled Keywords: MAXIMAL ABELIAN GAUGE, QUARK CONFINEMENT, MASS GENERATION, POLE MASS, DOMINANCE, QCD, FORMALISM, DIMENSION, BREAKING, ENERGY
Subjects: ?? QC ??
Divisions: Faculty of Science & Engineering > School of Physical Sciences > Mathematical Sciences
Depositing User: Symplectic Admin
Date Deposited: 27 Oct 2008 11:14
Last Modified: 24 Jan 2026 00:23
DOI: 10.1103/PhysRevD.73.014001
Publisher's Statement : ©2006 The American Physical Society
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URI: https://livrepository.liverpool.ac.uk/id/eprint/411
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