Numerical determination of monopole entropy in pure SU(2) QCD

Abstract

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.

arXiv comment17 pages, 19 figures, LaTeX 2e

References in corpus (18)

• Dual Superconductor Scenario of Confinement: A Systematic Study of Gribov Copy Effects
• Monopoles and string tension in SU(2) QCD
• A disorder parameter for dual superconductivity in gauge theories
• Monopole action and condensation in SU(2) QCD
• Confinement studies in lattice QCD
• Effective Constraint Potential for Abelian Monopole in SU(2) Lattice Gauge Theory
• Duality of gauge field singularities and the structure of the flux tube in Abelian-projected SU(2) gauge theory and the dual Abelian Higgs model
• Monopole action from vacuum configurations in compact QED
• Monopole clusters in Abelian projected gauge theories
• Monopole clusters at short and large distances
• Towards understanding structure of the monopole clusters
• An Almost Perfect Quantum Lattice Action for Low-energy SU(2) Gluodynamics
• Continuum limit in abelian projected SU(2) lattice gauge theory
• Monopole action and monopole condensation in SU(3) lattice QCD
• Deconfinement transition and monopoles in $T\ne 0$ $SU(2)$ QCD
• Monopole Order Parameter in SU(2) Lattice Gauge Theory
• Geometry of percolating monopole clusters
• Various Representations of Infrared Effective Lattice SU(2) Gluodynamics

Cited by in corpus (7)

• Finite-size scaling method for the Berezinskii-Kosterlitz-Thouless transition
• Generation of confinement and other nonperturbative effects by infrared gluonic degrees of freedom
• The compact Q=2 Abelian Higgs model in the London limit: vortex-monopole chains and the photon propagator
• Model independent approach to studies of the confining dual Abrikosov vortex in SU(2) lattice gauge theory
• Determination of monopole condensate from monopole action in quenched SU(2) QCD
• Systematic Effective Field Theory Analysis of the D=2+1 Quantum XY Model at Low Temperatures
• Entropy of spatial monopole currents in pure SU(2) QCD at finite temperature