Abelian Monopole and Center Vortex Views at the Multi-Instanton Gas

Abstract

We consider full non-Abelian, Abelian and center projected lattice field configurations built up from random instanton gas configurations in the continuum. We study the instanton contribution to the $\bar{Q}Q$ force with respect to ({\it i}) instanton density dependence, ({\it ii}) Casimir scaling and ({\it iii}) whether various versions of Abelian dominance hold. We check that the dilute gas formulation for the interaction potential gives an reliable approximation only for densities small compared to the phenomenological value. We find that Casimir scaling does not hold, confirming earlier statements in the literature. We show that the lattice used to discretize the instanton gas configurations has to be sufficiently coarse ($a\approx 2\bar{\rho }$ compared with the instanton size $\bar{\rho }$) such that maximal Abelian gauge projection and center projection as well as the monopole gas contribution to the $\bar{Q}Q$ force reproduce the non-Abelian instanton-mediated force in the intermediate range of linear quasi-confinement. We demonstrate that monopole clustering also depends critically on the discretization scale confirming earlier findings based on monopole blocking.

arXiv comment21 pages, 22 Postscript figures

References in corpus (28)

• Instantons in QCD
• Center Dominance and Z2 Vortices in SU(2) Lattice Gauge Theory
• Casimir scaling of SU(3) static potentials
• Detection of Center Vortices in the Lattice Yang-Mills Vacuum
• Dual Superconductor Scenario of Confinement: A Systematic Study of Gribov Copy Effects
• Deconfinement in SU(2) Yang-Mills theory as a center vortex percolation transition
• String Tension from Monopoles in SU(2) Lattice Gauge Theory
• Monopoles and string tension in SU(2) QCD
• Confinement and scaling of the vortex vacuum of SU(2) lattice gauge theory
• Topological Structure of the SU(3) Vacuum
• Casimir scaling as a test of QCD vacuum
• Instantons, the QCD Vacuum, and Hadronic Physics
• Instanton Content of the SU(3) Vacuum
• Interaction of confining vortices in SU(2) lattice gauge theory
• Clustering of Monopoles in the Instanton Vacuum
• Topology at the Deconfinement Transition Uncovered by Inverse Blocking in SU(2) Pure Gauge Theory with Fixed Point Action
• Test of the QCD vacuum with the sources in higher representations
• Coexistence of monopoles and instantons for different topological charge definitions and lattice actions
• Comments on the Instanton Size Distribution
• Action and topological density carried by Abelian monopoles in finite temperature pure SU(2) gauge theory: an analysis using RG smoothing
• Monopole characteristics in various Abelian gauges
• Distribution of instanton sizes in a simplified instanton gas model
• Confinement Properties in the Multi-Instanton System
• Monopole Clustering and Color Confinement in the Multi-Instanton System
• Instanton, Monopole Condensation and Confinement
• Correlation functions between monopoles and instantons
• Center Vortices, Instantons, and Confinement
• Block spin transformation on the dual lattice and monopole action

Cited by in corpus (5)

• On the topological content of SU(2) gauge fields below T_c
• Quark zero modes in intersecting center vortex gauge fields
• Calorons and dyons at the thermal phase transition analyzed by overlap fermions
• Improved superposition schemes for approximate multi-caloron configurations
• Instantons in the nonperturbative QCD vacuum