Results

**1 - 1**of**1**### BROWN-HET-1611 Complex Path Integrals and the Space of Theories

"... The Feynman Path Integral is extended in order to capture all solutions of a quan-tum field theory. This is done via a choice of appropriate integration cycles, parametrized by M ∈ SL(2,C), i.e., the space of allowed integration cycles is re-lated to certain Dp-branes and their properties, which can ..."

Abstract
- Add to MetaCart

(Show Context)
The Feynman Path Integral is extended in order to capture all solutions of a quan-tum field theory. This is done via a choice of appropriate integration cycles, parametrized by M ∈ SL(2,C), i.e., the space of allowed integration cycles is re-lated to certain Dp-branes and their properties, which can be further understood in terms of the “physical states ” of another theory. We also look into representa-tions of the Feynman Path Integral in terms of a Mellin–Barnes transform, bringing the singularity structure of the theory to the foreground. This implies that, as a sum over paths, we should consider more generic paths than just Brownian ones. Finally, we are able to study the Space of Theories through our examples in terms