Adjoint fermion zero-modes for SU(N) calorons
High Energy Physics - Theory
2009-08-20 v1 High Energy Physics - Lattice
Mathematical Physics
math.MP
Abstract
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.
Cite
@article{arxiv.0905.0645,
title = {Adjoint fermion zero-modes for SU(N) calorons},
author = {Margarita García Pérez and Antonio González-Arroyo and Alfonso Sastre},
journal= {arXiv preprint arXiv:0905.0645},
year = {2009}
}
Comments
40 latex pages and 5 eps figures