1302.5935 (Arthur Jaffe et al.)

Complex Classical Fields and Partial Wick Rotations    [PDF]

Arthur Jaffe, Christian D. Jäkel, Roberto E. Martinez II

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.

View original: http://arxiv.org/abs/1302.5935