Interacting Theory of Chiral Bosons and Gauge Fields on Noncommutative Extended Minkowski Spacetime

TL;DR

This paper explores interacting models of chiral bosons and gauge fields on a novel noncommutative extended Minkowski spacetime, analyzing their Lagrangian structures, equations of motion, and self-duality properties.

Contribution

It introduces and investigates the Lagrangian and Hamiltonian formulations of various chiral boson and gauge field models on a new noncommutative spacetime.

Findings

Derived Hamilton's equations using Dirac's method.

Solved equations of motion for the models.

Analyzed self-duality via the parent action approach.

Abstract

Several interacting models of chiral bosons and gauge fields are investigated on the noncommutative extended Minkowski spacetime which was recently proposed from a new point of view of disposing noncommutativity. The models include the bosonized chiral Schwinger model, the generalized chiral Schwinger model (GCSM) and its gauge invariant formulation. We establish the Lagrangian theories of the models, and then derive the Hamilton's equations in accordance with the Dirac's method and solve the equations of motion, and further analyze the self-duality of the Lagrangian theories in terms of the parent action approach.