Abstract:We study effective mass generation of off-diagonal gluons and infrared Abelian dominance in the maximally Abelian ͑MA͒ gauge. Using SU͑2͒ lattice QCD, we investigate the propagator and the effective mass of the gluon field in the MA gauge with U(1) 3 Landau gauge fixing. The Monte Carlo simulation is performed on the 12 3 ϫ24 lattice with 2.2рр2.4, and also on the 16 4 and 20 4 lattices with 2.3рр2.4. In the MA gauge, the diagonal gluon component A 3 shows long-range propagation, and infrared Abelian dominan… Show more
“…The Maximally Abelian (MA) gauge is the most convenient for demonstration of the dual superconductor nature of the gluodynamics vacuum (see, e.g., [13] for a review). The first study of the MA gauge gluon propagator in the coordinate space was made in [14]. It was found that the propagator of the off-diagonal gluons is exponentially suppressed at large distances by the effective mass about 1.2 GeV.…”
Propagators of the diagonal and the off-diagonal gluons are studied numerically in the Maximal Abelian gauge of SU(2) lattice gauge theory. It is found that in the infrared region the propagator of the diagonal gluon is strongly enhanced in comparison with the off-diagonal one. The enhancement factor is about 50 at our smallest momentum 325 MeV. We have also applied various fits to the propagator formfactors.
“…The Maximally Abelian (MA) gauge is the most convenient for demonstration of the dual superconductor nature of the gluodynamics vacuum (see, e.g., [13] for a review). The first study of the MA gauge gluon propagator in the coordinate space was made in [14]. It was found that the propagator of the off-diagonal gluons is exponentially suppressed at large distances by the effective mass about 1.2 GeV.…”
Propagators of the diagonal and the off-diagonal gluons are studied numerically in the Maximal Abelian gauge of SU(2) lattice gauge theory. It is found that in the infrared region the propagator of the diagonal gluon is strongly enhanced in comparison with the off-diagonal one. The enhancement factor is about 50 at our smallest momentum 325 MeV. We have also applied various fits to the propagator formfactors.
“…In the case of small gauge transformations, this is easily obtained by requiring that the gauge transformed fields (12), fulfill the same gauge conditions obeyed by A µ , A a µ , i.e. (13) and (15). Thus, to the first order in the gauge parameters (ω, ω a ), one gets…”
Section: Gribov Copies In the Mag And Restriction To The First Grmentioning
confidence: 99%
“…Moreover, as it is apparent from the presence of the covariant derivative D ab µ , (13) allows for a residual local U(1) invariance corresponding to the diagonal subgroup of SU (2). This additional invariance has to be fixed by means of a suitable gauge condition on the diagonal component A µ , which will be chosen to be of the Landau type, also adopted in lattice simulations [15,16], namely…”
Section: B the Maximal Abelian Gaugementioning
confidence: 99%
“…The first study of the gluon propagator on the lattice in the maximal Abelian gauge was made in [15] in the case of SU (2). The gluon propagator was analyzed in coordinate space.…”
Section: E Lattice Data In the Magmentioning
confidence: 99%
“…The interested reader can find the details for the MAG in [28]. We define the Gribov region C 0 as the set of fields fulfilling the gauge conditions (13), (15) and for which the Faddeev-Popov operator M ab is positive definite, namely…”
Section: Gribov Copies In the Mag And Restriction To The First Grmentioning
We report on some recent analytical results on the behaviour of the gluon and ghost propagators in Euclidean SU(2) Yang-Mills theory quantized in the maximal Abelian gauge (MAG). This gauge is of particular interest for the dual superconductivity picture to explain color confinement. Two kinds of effects are taken into account: those arising from a treatment of Gribov copies in the MAG and those arising from a dynamical mass originating in a dimension two gluon condensate. The diagonal component of the gluon propagator displays the typical Gribov-type behaviour, while the off-diagonal component is of the Yukawa type due to the dynamical mass. These results are in qualitative agreement with available lattice data on the gluon propagators. The off-diagonal ghost propagator exhibits an infrared enhancement due to the Gribov restriction, while the diagonal one remains unaffected.
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