Radiative processes as a condensation phenomenon and the physical meaning of deformed canonical structures

TL;DR

This paper explores the deformation of canonical structures in 2+1 dimensional models, establishing dualities and linking scalar, self-dual, Maxwell, and Maxwell-Chern-Simons theories to deepen understanding of their physical relationships.

Contribution

It introduces a new deformation connecting massless scalar and self-dual theories, expanding the duality web among key 2+1D models.

Findings

Established a new deformation linking scalar and self-dual theories

Linked Maxwell and Maxwell-Chern-Simons theories through duality

Provided a physical interpretation of the deformation process

Abstract

Working with well known models in $(2+1)D$ we discuss the physics behind the deformation of the canonical structure of these theories. A new deformation is constructed linking the massless scalar field theory with the self-dual theory. This is the exact dual of the known deformation connecting the Maxwell theory with the Maxwell-Chern-Simons theory. Duality is used to establish a web of relations between the mentioned theories and a physical picture of the deformation procedure is suggested.