67 research outputs found
Entropy of spatial monopole currents in pure SU(2) QCD at finite temperature
We study properties of space-like monopole trajectories in the Maximal
Abelian gauge of quenched SU(2) QCD at the finite temperature. We concentrate
on infrared monopole clusters which are responsible for the confinement
properties of the theory. We determine numerically the effective action of the
monopoles projected onto the three-dimensional time-slice. Then we derive the
length distributions of the monopole loops and fix their entropy.Comment: 12 pages, 22 figures, RevTeX
The dual Meissner effect in SU(2) Landau gauge
The dual Meissner effect is observed without monopoles in quenched SU(2) QCD
with Landau gauge-fixing. Abelian as well as non-Abelian electric fields are
squeezed. Magnetic displacement currents which are time-dependent Abelian
magnetic fields play a role of solenoidal currents squeezing Abelian electric
fields. Monopoles are not always necessary to the dual Meissner effect. The
squeezing of the electric flux means the dual London equation and the
massiveness of the Abelian electric fields as an asymptotic field. The mass
generation of the Abelian electric fields is related to a gluon condensate
of mass dimension 2.Comment: 10 page, 12 Postscript figures, Talk presented at Quark Confinement
and the Hadron Spectrum VI 2004, Sardinia, 21-25 Sep 200
Gauge invariance of color confinement due to the dual Meissner effect caused by Abelian monopoles
The mechanism of non-Abelian color confinement is studied in SU(2) lattice
gauge theory in terms of the Abelian fields and monopoles extracted from
non-Abelian link variables without adopting gauge fixing.
Firstly, the static quark-antiquark potential and force are computed with the
Abelian and monopole Polyakov loop correlators, and the resulting string
tensions are found to be identical to the non-Abelian string tension. These
potentials also show the scaling behavior with respect to the change of lattice
spacing.
Secondly, the profile of the color-electric field between a quark and an
antiquark is investigated with the Abelian and monopole Wilson loops. The
color-electric field is squeezed into a flux tube due to monopole supercurrent
with the same Abelian color direction. The parameters corresponding to the
penetration and coherence lengths show the scaling behavior, and the ratio of
these lengths, i.e, the Ginzburg-Landau parameter, indicates that the vacuum
type is near the border of the type1 and type2 (dual) superconductor.
These results are summarized that the Abelian fundamental charge defined in
an arbitrary color direction is confined inside a hadronic state by the dual
Meissner effect. As the color-neutral state in any Abelian color direction
corresponds to the physical color-singlet state, this effect explains
non-Abelian color confinement and supports the existence of a gauge-invariant
mechanism of color confinement due to the dual Meissner effect caused by
Abelian monopoles.Comment: 11 pages, 14 figure
Numerical determination of monopole entropy in pure SU(2) QCD
金沢大学総合メディア基盤センター We study numerically the length distributions of the infrared monopole clusters in pure SU(2) QCD. These distributions are Gaussian for all studied blocking steps of monopoles, lattice volumes and lattice coupling constant. We also investigate the monopole action for the infrared monopole clusters. The knowledge of both the length distribution and the monopole action allows us to determine the effective entropy of the monopole currents. The entropy is a descending function of blocking scale, indicating that the effective degrees of freedom of the extended monopoles are getting smaller as the blocking scale increases. © 2004 The American Physical Society
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