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 < A(mu)(2)> and <epsilon(abc)(c)over-bar(b)c(c)> in Euclidean SU(2) Yang-Mills theory in the Landau gauge.
PHYSICAL REVIEW D, 73 (1).
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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 |
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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 and Engineering > School of Physical Sciences > Mathematical Sciences |
Depositing User: | Symplectic Admin |
Date Deposited: | 27 Oct 2008 11:14 |
Last Modified: | 16 Dec 2022 09:51 |
DOI: | 10.1103/PhysRevD.73.014001 |
Publisher's Statement : | ©2006 The American Physical Society |
Related URLs: | |
URI: | https://livrepository.liverpool.ac.uk/id/eprint/411 |