# Complex Classical Fields and Partial Wick Rotations

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.

Keywords:

*none*