Adjoint fermion zero-modes for SU(N) calorons

Details Adjoint fermion zero-modes for SU(N) calorons Adjoint fermion zero-modes for SU(N) calorons

2009-05-05

arxiv.org/abs/0905.0645v1

JHEP 0906:065,2009

Physics

High Energy Physics

High Energy Physics - Theory

40 latex pages and 5 eps figures

Scientific paper

10.1088/1126-6708/2009/06/065

We derive analytic formulas for the zero-modes of the Dirac equation in the adjoint representation in the background field of Q=1 SU(N) calorons. Solutions with various boundary conditions are obtained, including the physically most relevant cases of periodic and antiperiodic ones. The latter are essential ingredients in a semiclassical treatment of finite temperature supersymmetric Yang-Mills theory. A detailed discussion of adjoint zero-modes in several other contexts is also presented.

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