Doubly Periodic Instantons and their Constituents

Abstract

Using the Nahm transform we investigate doubly periodic charge one SU(2) instantons with radial symmetry. Two special points where the Nahm zero modes have softer singularities are identified as the locations of instanton core constituents. For a square torus this constituent picture is closely reflected in the action density. In rectangular tori with large aspect ratios the cores merge to form monopole-like objects. For particular values of the parameters the torus can be cut in half yielding two copies of a twisted charge 1/2 instanton. These findings are illustrated with plots of the action density within a two-dimensional slice containing the constituents.

24 pages, 4 figures, exponential decay formula corrected, references added

References in corpus (7)

• NS5-Branes, T-Duality and Worldsheet Instantons
• Asymptotic Interactions of Critically Coupled Vortices
• New findings for topological excitations in SU(3) lattice gauge theory
• On the topological content of SU(2) gauge fields below T_c
• Multi-Caloron solutions
• Quark zero modes in intersecting center vortex gauge fields
• Constituents of Doubly Periodic Instantons

Cited by in corpus (9)

• On the spectrum of the Faddeev-Popov operator in topological background fields
• Topological lumps and Dirac zero modes in SU(3) lattice gauge theory on the torus
• Asymptotic behaviour and the Nahm transform of doubly periodic instantons with square integrable curvature
• Confinement in non-Abelian lattice gauge theory via persistent homology
• Periodic Monopoles from Spectral Curves
• Doubly Periodic Instanton Zero Modes
• Numerical Investigation of Monopole Chains
• Sigma Model BPS Lumps on Torus
• Center-vortex semiclassics with non-minimal 't Hooft fluxes on ${\mathbb{R}}^2\times T^2$ and center stabilization at large $N$