Twist Positivity

Abstract

We identify a positivity property for partition functions in quantum systems with a unitary symmetry group, and we call this "twist positivity." The existence of Feynman-Kac measures and the existence of zero-mass limits are both related to this property. Twist positivity arises from the occurrence of complex conjugate representations on an energy eigenspace, and ultimately reflects a particle interpretation of the quantum system.

51 pages

References in corpus (1)

• On the Landau-Ginzburg Description of $N=2$ Minimal Models

Cited by in corpus (1)

• Complex Classical Fields and Partial Wick Rotations