Calorons and dyons at the thermal phase transition analyzed by overlap fermions

Abstract

In a pilot study, we use the topological charge density defined by the eigenmodes of the overlap Dirac operator (with ultraviolet filtering by mode-truncation) to search for lumps of topological charge in SU(2) pure gauge theory. Augmenting this search with periodic and antiperiodic temporal boundary conditions for the overlap fermions, we demonstrate that the lumps can be classified either as calorons or as separate caloron constituents (dyons). Inside the topological charge clusters the (smeared) Polyakov loop is found to show the typical profile characteristic for calorons and dyons. This investigation, motivated by recent caloron/dyon model studies, is performed at the deconfinement phase transition for SU(2) gluodynamics on 20^3 x 6 lattices described by the tadpole improved Lüscher-Weisz action. The transition point has been carefully located. As a necessary condition for the caloron/dyon detection capability, we check that the LW action, in contrast to the Wilson action, generates lattice ensembles, for which the overlap Dirac eigenvalue spectrum smoothly behaves under smearing and under the change of the boundary conditions.

17 pages, 8 figures, minor changes (typos, grants, ..)

References in corpus (7)

• Confining ensemble of dyons
• Exploring the structure of the quenched QCD vacuum with overlap fermions
• Quark Confinement: The Hard Problem of Hadron Physics
• An SU(2) KvBLL caloron gas model and confinement
• Once more on the interrelation between Abelian monopoles and P-vortices in SU(2) LGT
• Calorons and monopoles from smeared SU(2) lattice fields at non-zero temperature
• Classes of confining gauge field configurations

Cited by in corpus (9)

• Magnetic-Field-Induced insulator-conductor transition in SU(2) quenched lattice gauge theory
• On the interrelation between monopoles, vortices, topological charge and chiral symmetry breaking: an analysis using overlap fermions for SU(2)
• The dyonic picture of topological objects in the deconfined phase
• The topological structure of SU(2) gluodynamics at T > 0 : an analysis using the Symanzik action and Neuberger overlap fermions
• Chiral symmetry and spectral properties of the Dirac operator in G2 Yang-Mills Theory
• Adjoint fermion zero-modes for SU(N) calorons
• Finite-temperature chiral condensate and low-lying Dirac eigenvalues in quenched SU(2) lattice gauge theory
• Dyon structures in the deconfinement phase of lattice gluodynamics: topological clusters, holonomies and Abelian monopoles
• Numerical evidence for fractional topological objects in SU(3) gauge theory