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Equivalence of Minkowski and Euclidean Field Theory Solutions

2003/02/25 by Khin Maung Maung, Charles A. Hill, Maung, Khin Maung +5
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Nuclear Theory (nucl-th) #Relativity and Gravitational Theory #hep-ph #hep-th #nucl-th

paper · pdf · doi:10.48550/arxiv.hep-ph/0302228

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)

arxiv created 2003/02/25 · openalex publication_date 2003/02/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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