Equivalence of Minkowski and Euclidean Field Theory Solutions
Abstract
We consider the correspondence between solutions of non-gravitational field theories formulated in Euclidean space-time and Minkowski space-time. Infinitely many "Euclidean" spaces can be obtained from M4 via a group of transformations in which the Wick rotation is a special case. We then discuss how the solutions of gauge field theories formulated in these "Euclidean" spaces have a one-to-one correspondence with the solutions of field theories formulated in Minkowski space-time, provided we avoid the one-point compactification into S4 = E4 U infinity.
Keywords
Cite
@article{arxiv.hep-ph/0302228,
title = {Equivalence of Minkowski and Euclidean Field Theory Solutions},
author = {Khin Maung Maung and Charles A. Hill and Michael T. Hill and George DeRise},
journal= {arXiv preprint arXiv:hep-ph/0302228},
year = {2007}
}
Comments
This is a summary of a contributed talk presented at "Quark Confinement and the Hadron Spectrum V," Gagnano, Italy, September 2002. (4 pages, 1 figure). This paper is to be published in the proceedings of "Quark Confinement and the Hadron Spectrum V", edited by Nora Brambilla, World Scientific Publishing Co. (2003)