On the origin of superselection rules and different solutions of Thirring model

TL;DR

This paper explores the origins of superselection rules in the Thirring model, connecting various solutions through conformal transformations and discussing symmetry breaking mechanisms.

Contribution

It introduces new sources of superselection rules and analyzes the relationships between different solutions of the Thirring model using generalized conformal shifts.

Findings

Different solutions are interconnected via conformal shift transformations.

New sources of superselection rules are identified.

Discussion on spontaneous symmetry breaking in the model.

Abstract

The normal forms of different one- and two- parametric solutions of Thirring model are connected with each other by making use of generalized conformal shift transformations. A new alternative sources of superselection rules are shown and the ways of spontaneous symmetry breaking are discussed.