Complex Classical Fields and Partial Wick Rotations

Arthur Jaffe, Christian D. Jäkel, Roberto E. Martinez II
February 24, 2013
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.