Complex Classical Fields and Partial Wick Rotations

Understand

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.