Doubly Periodic Instanton Zero Modes

Abstract

Fermionic zero modes associated with doubly periodic SU(2) instantons of unit charge are considered. In cases where the action density exhibits two `instanton cores' the zero mode peaks on one of four line-segments joining the two constituents. Which of the four possibilities is realised depends on the fermionic boundary conditions; doubly periodic, doubly anti-periodic or mixed.

12 pages, 4 figures

References in corpus (11)

• Periodic Instantons with non-trivial Holonomy
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• Weyl-Dirac zero-mode for calorons
• Self-dual vortex-like configurations in SU(2) Yang-Mills Theory
• Multi-Caloron solutions
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Cited by in corpus (4)

• Instanton constituents and fermionic zero modes in twisted CP(n) models
• Dirac Operator Zero-modes on a Torus
• Confinement in non-Abelian lattice gauge theory via persistent homology
• Center-vortex semiclassics with non-minimal 't Hooft fluxes on ${\mathbb{R}}^2\times T^2$ and center stabilization at large $N$