Theory Seminars

Manifest gauge invariance and old-fashioned perturbation theory

by Ryan Daniel Plestid

Europe/Madrid
IFAE Seminar Room (In-Person)

IFAE Seminar Room

In-Person

Description
When dealing with bound states (e.g., atoms or nuclei) many calculations are most efficiently carried out using old-fashioned perturbation theory. 
It is difficult, however, to see how gauge invariance manifests at the level of the amplitude (this is related to the non-conservation of energy in OFPT). 
In this talk I will explain how a partial-fraction trick can reorganize amplitudes into a form that is manifestly gauge invariant. Remarkably, when applied to 
the Compton tensor, the resulting amplitude decomposes into four separate gauge invariant pieces that are naturally organized around a heavy-mass 
expansion.