Higher charge calorons with non-trivial holonomy

Abstract

The full ADHM-Nahm formalism is employed to find exact higher charge caloron solutions with non-trivial holonomy, extended beyond the axially symmetric solutions found earlier. Particularly interesting is the case where the constituent monopoles, that make up these solutions, are not necessarily well-separated. This is worked out in detail for charge 2. We resolve the structure of the extended core, which was previously localized only through the singularity structure of the zero-mode density in the far field limit. We also show that this singularity structure agrees exactly with the abelian charge distribution as seen through the abelian component of the gauge field. As a by-product zero-mode densities for charge 2 magnetic monopoles are found.

25 pages, 4 figures in 15 parts; small corrections - version to be published

References in corpus (9)

• Instantons at work
• Quantum weights of dyons and of instantons with non-trivial holonomy
• New findings for topological excitations in SU(3) lattice gauge theory
• Multi-Caloron solutions
• Calorons, instantons and constituent monopoles in SU(3) lattice gauge theory
• Constituent monopoles through the eyes of fermion zero-modes
• Recombination of dyons into calorons in SU(2) lattice fields at low temperatures
• On Dirac sheet configurations of SU(2) lattice fields
• On the stability of Dirac sheet configurations

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• Chiral phase transition and Anderson localization in the Instanton Liquid Model for QCD
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• Laplacian modes probing gauge fields
• Probing for Instanton Quarks with epsilon-Cooling
• SU(N) caloron measure and its relation to instantons
• Topology across the finite temperature transition studied by overimproved cooling in gluodynamics and QCD
• The Myriad Uses of Instantons
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• Cautionary remarks on the moduli space metric for multi-dyon simulations
• Calorons in SU(3) lattice gauge theory
• A model for gauged skyrmions with low binding energies
• Large scale and large period limits of symmetric calorons
• Dyon structures in the deconfinement phase of lattice gluodynamics: topological clusters, holonomies and Abelian monopoles
• Topological objects in QCD
• Calorons, Nahm's equations on S^1 and bundles over P^1xP^1
• Multi-Calorons Revisited
• Improved superposition schemes for approximate multi-caloron configurations
• Gluino zero-modes for non-trivial holonomy calorons
• Fermionic determinant for SU(N) caloron with nontrivial holonomy
• On the energy spectrum of Yang--Mills instantons over asymptotically locally flat spaces
• Determinant of the SU(N) caloron with nontrivial holonomy
• Magnetically Charged Calorons with Non-Trivial Holonomy
• Numerical Nahm transform for 2-caloron solutions
• Gluino zero-modes for calorons at finite temperature
• Numerical evidence for fractional topological objects in SU(3) gauge theory
• Cyclic Calorons
• Sigma Model BPS Lumps on Torus
• Exploring the QCD vacuum - (some) recent developments in confinement and topology
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• Estimating ${\chi }_{\mathrm{top}}$ Lattice Artifacts from Flowed SU(2) Calorons
• Zero density heavy quark SU(2) gauge theory and the Stefan-Boltzmann limit
• Topology of Calorons Re-examined