Gluino zero-modes for non-trivial holonomy calorons

Abstract

We couple fermion fields in the adjoint representation (gluinos) to the SU(2) gauge field of unit charge calorons defined on R^3 x S_1. We compute corresponding zero-modes of the Dirac equation. These are relevant in semiclassical studies of N=1 Super-symmetric Yang-Mills theory. Our formulas, show that, up to a term proportional to the vector potential, the modes can be constructed by different linear combinations of two contributions adding up to the total caloron field strength.

17 pages, 3 Postscript figures, latex

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Cited by in corpus (7)

• Adjoint QCD on ${\mathbb{R}}^3\times S^1$ with twisted fermionic boundary conditions
• Two-loop renormalization of vector, axial-vector and tensor fermion bilinears on the lattice
• Microscopic Structure of Magnetic Bions
• Two-loop renormalization of scalar and pseudoscalar fermion bilinears on the lattice
• Adjoint fermion zero-modes for SU(N) calorons
• Gluino zero-modes for calorons at finite temperature
• Caloron correction to the effective potential in thermal gluodynamics