Scattering theory for dipole quantum fields

TL;DR

This paper develops a scattering theory framework for local, relativistic dipole quantum fields, providing explicit formulas for the scattering matrix and exploring their role in two-dimensional models like sine-Gordon.

Contribution

It introduces a general scattering theory for dipole quantum fields and derives explicit scattering matrix formulas, extending understanding of non-free asymptotic behaviors.

Findings

Explicit scattering matrix formulas for dipole fields

Dipole degrees of freedom in sine-Gordon models

Asymptotic dipole behavior differs from free fields

Abstract

In the present work a general frame for the scattering theory of local, relativistic dipole quantum fields is presented and some models of interacting dipole fields are considered, i.e. local, relativistic quantum fields with indefinite metric which asymptotically do not converge to free fields, but to free dipole fields. Also, we give explicit formulae for the (nontrivial) scattering matrix of dipole in- and out- fields for these models. Furthermore we show how related dipole degrees of freedom occur in the perturbation theory of certain two dimensional models, e.g. massive sine-Gordon or sinh-Gordon models.