Instanton Moduli for T**3xR
Abstract
We review the specific problems that arise when studying instantons on a torus. We discuss how the Nahm transformation shows that no exact charge one instanton on T**4 can exist. However, taking one of the directions (the time) to infinity, it can be shown that vacuum to vacuum tunnelling solutions exist. A precise description of the moduli space for T**3xR, studied numerically using lattice techniques, remains an interesting open problem. New is an explicit application of the Nahm transformation to (anti-)selfdual constant curvature solutions on T**4 and a discussion of its properties relevant to instantons on T**3xR.
Keywords
Cite
@article{arxiv.hep-th/9512223,
title = {Instanton Moduli for T**3xR},
author = {Pierre van Baal},
journal= {arXiv preprint arXiv:hep-th/9512223},
year = {2009}
}
Comments
12p with 3 figs, uufiles -gz format. Talk at the 29th Int. Symp. on the Theory of Elem. Part., Buckow, 29 Aug.-2 Sept., 1995.