Author:

Keywords:

Science & Technology, Physical Sciences, Astronomy & Astrophysics, Physics, Particles & Fields, Physics, MAXIMAL ABELIAN GAUGE, QUARK CONFINEMENT, MASS GENERATION, POLE MASS, DOMINANCE, QCD, FORMALISM, DIMENSION, BREAKING, ENERGY, hep-th, hep-lat, 0201 Astronomical and Space Sciences, 0202 Atomic, Molecular, Nuclear, Particle and Plasma Physics, 0206 Quantum Physics, Nuclear & Particles Physics, 4902 Mathematical physics, 5101 Astronomical sciences, 5107 Particle and high energy physics

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.