Duality as a Method to Derive a Gauge Invariant Massive Electrodynamics and New Interactions

Abstract

Taking into account the recent developments associated with duality in physics, this article is focused on investigating the properties of a tensor generalization of the electrodynamics dual to the standard vector model even considering the full radiative corrections. A discussion on duality is extended for non-linearly interacting models. The alternative tensor structure allows a new local self-interaction and also a partial gauge invariant mass term. In this way, the renormalization conditions, a new interaction, Ward-Takahashi identities for all the sets of gauge symmetries, and the Schwinger-Dyson quantum equations are carefully provided to consistently characterize the propagating modes of the quantum system. The possibility of this gauge invariant massive extension is considered from the perspective of a generalized Stueckelberg procedure for higher derivative systems.

References in corpus (32)

• The Large N Limit of Superconformal Field Theories and Supergravity
• A Duality Web in 2+1 Dimensions and Condensed Matter Physics
• The Stueckelberg Field
• Topological Disorder Operators in Three-Dimensional Conformal Field Theory
• Superrenormalizable quantum gravity with complex ghosts
• Transverse Fierz-Pauli symmetry
• Helicity Decomposition of Ghost-free Massive Gravity
• Particle-vortex duality in topological insulators and superconductors
• A note on spin-s duality
• The Ostrogradsky instability can be overcome by quantum physics
• Three-dimensional Spin-3 Theories Based on General Kinematical Algebras
• Duality for symmetric second rank tensors. II. The linearized gravitational field
• New class of Proca interactions
• Dual Double Field Theory
• On different lagrangian formalisms for vector resonances within chiral perturbation theory
• Dense two-color QCD from Dyson-Schwinger equations
• The Dual Phases of Massless/Massive Kalb-Ramond Fields
• TDiff and Weyl Invariant Massive Spin-2: Linear Theory
• Dual actions for massless, partially-massless and massive gravitons in (A)dS
• Spin-1 duality in $D$-dimensions
• Dyson-Schwinger equation constraints on the gluon propagator in BRST quantised QCD
• Renormalization and additional degrees of freedom within the chiral effective theory for spin-1 resonances
• Dimensional reduction as a method to obtain dual theories for massive spin two in arbitray dimensions
• Infrared divergences, mass shell singularities and gauge dependence of the dynamical fermion mass
• A note on linearized "New Massive Gravity" in arbitrary dimensions
• Cosmic Acceleration and Growth of Structure in Massive Gravity
• Discrete Scale-Invariant Boson-Fermion Duality in One Dimension
• Massive Dual Gravity in N Spacetime Dimensions
• Boson-fermion duality in a gravitational background
• Dual equivalence between self-dual and topologically massive $B\wedge F$ models coupled to matter in $3+1$ dimensions
• Quantum equivalence between the self-dual and the Maxwell-Chern-Simons models nonlinearly coupled to U(1) scalar fields
• High temperature AdS black holes are low temperature quantum phonon gases