Gluino zero-modes for non-trivial holonomy calorons
High Energy Physics - Theory
2009-11-11 v1 High Energy Physics - Lattice
Mathematical Physics
math.MP
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.
Cite
@article{arxiv.hep-th/0609058,
title = {Gluino zero-modes for non-trivial holonomy calorons},
author = {Margarita Garcia Perez and Antonio Gonzalez-Arroyo},
journal= {arXiv preprint arXiv:hep-th/0609058},
year = {2009}
}
Comments
17 pages, 3 Postscript figures, latex