Logo
ScienceStack
Table of Contents
Fetching ...
Sign In

Hamiltonian analysis in Lie-Poisson gauge theory

Francesco Bascone, Maxim Kurkov

Abstract

Lie-Poisson gauge formalism provides a semiclassical description of noncommutative $U(1)$ gauge theory with Lie algebra type noncommutativity. Using the Dirac approach to constrained Hamiltonian systems, we focus on a class of Lie-Poisson gauge models, which exhibit an admissible Lagrangian description. The underlying noncommutativity is supposed to be purely spatial. Analysing the constraints, we demonstrate that these models have as many physical degrees of freedom as there are present in the Maxwell theory.

Hamiltonian analysis in Lie-Poisson gauge theory

Abstract

Lie-Poisson gauge formalism provides a semiclassical description of noncommutative gauge theory with Lie algebra type noncommutativity. Using the Dirac approach to constrained Hamiltonian systems, we focus on a class of Lie-Poisson gauge models, which exhibit an admissible Lagrangian description. The underlying noncommutativity is supposed to be purely spatial. Analysing the constraints, we demonstrate that these models have as many physical degrees of freedom as there are present in the Maxwell theory.
Paper Structure (6 sections, 71 equations)

This paper contains 6 sections, 71 equations.

Table of Contents

  1. Introduction
  2. Basics of the (Lie-) Poisson gauge formalism
  3. Hamiltonian constraint analysis
  4. Conclusions
  5. Proof of the identity \ref{['Notiden']}
  6. Proof of the relation \ref{['twotwocomm']}