AG Mathematische Physik, Karl-Henning Rehren (Göttingen): String-localized QFT in action: Application to the Abelian Higgs model

Karl-Henning Rehren

String-localized QFT in action: Application to the Abelian Higgs model

Abstract:

String-localized QFT improves perturbation theory with massive vector

bosons.

It keeps the perturbation theory renormalizable without introducing

indefinite metric and ghosts. The ensuing string-dependence can be
systematically eliminated in terms of higher-order corrections. The latter serve
as physical predictions.

A prototype is the Abelian Higgs model: Interactions of a massive

vector field can be renormalized without spontaneous symmetry

breaking. But it must couple to a scalar field with a double-well

potential self-coupling.

A benefit compared to the standard BRST method is that off-shell

interacting charged fields can be constructed on the Hilbert space.

Joint work with Jens Mund and Bert Schroer

(arXiv:2209.06133)