Fractional topological charges and the lowest Dirac modes

Abstract

We introduce vortex configurations with fractional topological charges where one unicolor or colorful intersection of two perpendicular vortex pairs contributes to the topological charge of the configurations. Using both, the overlap and asqtad staggered fermion formulations, the lowest modes of the Dirac operator on the noninteger $Q$ configurations are studied in the fundamental and adjoint representations. We analyze the behavior of the fundamental and adjoint fermions in the background of the topological charge contributions of $|Q|=0.5$.

arXiv comment11 pages, 9 figures, accepted by Physical Review D

References in corpus (44)

• Instantons in QCD
• Exactly massless quarks on the lattice
• A construction of lattice chiral gauge theories
• QCD and strongly coupled gauge theories: challenges and perspectives
• Chiral Fermions on the Lattice
• Periodic Instantons with non-trivial Holonomy
• SU(2) Calorons and Magnetic Monopoles
• Instantons at work
• Center Dominance and Z2 Vortices in SU(2) Lattice Gauge Theory
• Monopole Constituents inside SU(n) Calorons
• Deconfinement in SU(2) Yang-Mills theory as a center vortex percolation transition
• Confinement and scaling of the vortex vacuum of SU(2) lattice gauge theory
• A Study of Practical Implementations of the Overlap-Dirac Operator in Four Dimensions
• Center Vortex Model for the Infrared Sector of SU(3) Yang-Mills Theory - Confinement and Deconfinement
• Center vortices of Yang-Mills theory at finite temperatures
• Center vortex model for the infrared sector of Yang-Mills theory - Confinement and Deconfinement
• Center vortex model for the infrared sector of Yang-Mills theory - Topological Susceptibility
• Vortices and confinement at weak coupling
• Multicritical Microscopic Spectral Correlators of Hermitian and Complex Matrices
• Center Vortices and the Dirac Spectrum
• Role of center vortices in chiral symmetry breaking in SU(3) gauge theory
• Topological Susceptibility of Yang-Mills Center Projection Vortices
• Field Strength Correlators and Dual Effective Dynamics in QCD
• Center Vortices and Chiral Symmetry Breaking in SU(2) Lattice Gauge Theory
• On the continuum limit of fermionic topological charge in lattice gauge theory
• Quark zero modes in intersecting center vortex gauge fields
• Intersections of thick Center Vortices, Dirac Eigenmodes and Fractional Topological Charge in SU(2) Lattice Gauge Theory
• Chiral Symmetry Breaking on the Lattice
• Writhe of center vortices and topological charge -- an explicit example
• Confinement of quarks and valence gluons in SU(N) Yang-Mills-Higgs models
• Tests of the lattice index theorem
• Center vortex model for the infrared sector of SU(3) Yang-Mills theory: Topological susceptibility
• Colorful SU(2) center vortices in the continuum and on the lattice
• Critical analysis of topological charge determination in the background of center vortices in SU(2) lattice gauge theory
• Comparion of Lattice and Dual QCD Results for Heavy Quark Potentials
• Large-N CP(N-1) sigma model on a finite interval and the renormalized string energy
• Volume scaling of Dirac eigenvalues in SU(3) lattice gauge theory with color sextet fermions
• A model of random center vortex lines in continuous 2+1-dimensional space-time
• Center Vortices, Area Law and the Catenary Solution
• Confining Bond Rearrangement in the Random Center Vortex Model
• Confinement, Holonomy and Correlated Instanton-Dyon Ensemble I: SU(2) Yang-Mills Theory
• $\mathrm{SU}(N)\to \mathrm{Z}(N)$ dual superconductor models: the magnetic loop ensemble point of view
• Combining the color structures and intersection points of thick center vortices and low-lying Dirac modes
• Confinement and XSB in QCD: Mysteries and beauty of soliton dynamics in nonAbelian gauge theories