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Equivalence of Minkowski and Euclidean Field Theory Solutions

Khin Maung Maung·Charles A. Hill·Michael T. Hill·George DeRise
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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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Khin Maung Maung, Charles A. Hill, Michael T. Hill, George DeRise. 2003-02-25. Equivalence of Minkowski and Euclidean Field Theory Solutions. https://arxiv.org/abs/hep-ph/0302228

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