arxiv: 1302.5935 · v1 · pith:NBBPNSA4new · submitted 2013-02-24 · 🧮 math-ph · hep-th· math.MP

Complex Classical Fields and Partial Wick Rotations

Arthur Jaffe , Christian D. J\"akel , Roberto E. Martinez II This is my paper

classification 🧮 math-ph hep-thmath.MP

keywords complexclassicalexamplesfieldsfunctionalpartialwickarising

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We study some examples of complex, classical, scalar fields within the new framework that we introduced in a previous work. In these particular examples, we replace the usual functional integral by a complex functional arising from partial Wick rotation of a quantum field. We generalize the Feynman-Kac relation to this setting, and use it to establish the spectral condition on a cylinder. We also consider positive-temperature states.

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Complex Classical Fields and Partial Wick Rotations

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