Class of self-dual models in three dimensions

TL;DR

This paper introduces a hierarchical class of self-dual models in three dimensions, utilizing duality transformations to generate new fields and analyze their propagators and correlation functions, with implications for charge screening and magnetic flux.

Contribution

It presents a novel hierarchical framework for self-dual models in three dimensions based on duality transformations, extending previous theories.

Findings

Generalized propagator expressed in terms of primitive propagator

Derived order and disorder correlation functions

Insights into charge screening and magnetic flux phenomena

Abstract

In the present paper we introduce a hierarquical class of self-dual models in three dimensions, inspired in the original self-dual theory of Towsend-Pilch-Nieuwenhuizen. The basic strategy is to explore the powerful property of the duality transformations in order to generate a new field. The generalized propagator can be written in terms of the primitive one (first order), and also the respective order and disorder correlation functions. Some conclusions about the ``charge screening'' and magnetic flux were established.