Evidence for fractional topological charge in SU(2) pure Yang-Mills theory

Details Evidence for fractional topological charge in SU(2) pure Yang-Mills theory Evidence for fractional topological charge in SU(2) pure Yang-Mills theory

1998-06-10

arxiv.org/abs/hep-lat/9806011v1

Phys.Lett. B438 (1998) 96-98

Physics

High Energy Physics

High Energy Physics - Lattice

6 pages latex with 1 postscript figure included by epsf

Scientific paper

10.1016/S0370-2693(98)00951-4

We investigate the spectral flows of the hermitian Wilson-Dirac operator in the fundamental and adjoint representations on two ensembles of pure SU(2) gauge field configurations at the same physical volume. We find several background gauge field configurations where the index of the hermitian Wilson-Dirac operator in the adjoint representation is not four times the index in the fundamental representation. This could imply a topological basis for the gluino condensate in supersymmetric Yang-Mills theories.

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