Hamiltonian Formalism of Topologically Massive Electrodynamics

Abstract

We consider the four dimensional topologically massive electrodynamics in which a gauge field is interacting with 2nd rank antisymmetric tensor field through a topological interaction. The photon becomes massive by eating the 2nd rank tensor field, which is dual to the Higgs mechanism. We explicitly demonstrate the nature of the mechanism by performing a canonical analysis of the theory and discuss various aspects of it.

arXiv comment12 pages

References in corpus (13)

• Cosmology with Ultra-light Pseudo-Nambu-Goldstone Bosons
• Massive Photon and Dark Energy
• Constrained Dynamics of the Coupled Abelian Two-Form
• (3+1)-dimensional topological quantum field theory from a tight-binding model of interacting spinless fermions
• Induced $B\wedge F$ term and photon mass generation in 3+1 dimensions
• Anomalous Gauge Theories with Antisymmetric Tensor Fields
• 4D Topological Mass by Gauging Spin
• A Universal Lagrangian for Massive Yang-Mills Theories without Higgs Bosons
• Gauge Invariant Photon Mass Induced by Vortex Gauge Interactions
• Meissner effect and a stringlike interaction
• The Fate of the Photon in Topological Matter: Superconductivity, Confinement and the Vortex Quantum Hall Effect
• Antisymmetric tensor contribution to the muon g-2
• Emergent Higgsless Superconductivity

Cited by in corpus (3)

• Dynamical Lorentz symmetry breaking in a tensor bumblebee model
• Dual equivalence between self-dual and topologically massive $B\wedge F$ models coupled to matter in $3+1$ dimensions
• Quantizing a Non-locally Massive 2-form Model