Volume-Preserving Diffeomorphisms' versus Local Gauge Symmetry
arXiv:hep-th/9505128 · doi:10.1016/0370-2693(95)01109-4
Abstract
We present a new form of Quantum Electrodynamics where the photons are composites made out of zero-dimensional scalar ``primitives''. The rôle of the local gauge symmetry is taken over by an {\em infinite-dimensional global Noether symmetry} -- the group of volume-preserving (symplectic) diffeomorphisms of the target space of the scalar primitives. Similar construction is carried out for higher antisymmetric tensor gauge theories. Solutions of Maxwell's equations are automatically solutions of the new system. However, the latter possesses additional non-Maxwell solutions which display some interesting new effects: (a) a magneto-hydrodynamical analogy, (b) absence of electromagnetic self-energy for electron plane wave solutions, and (c) gauge invariant photon mass generation, where the generated mass is arbitrary.
LaTeX209, 11+1 pages
References in corpus (4)
Cited by in corpus (14)
- Dynamical measure and field theory models free of the cosmological constant problem
- Revealing tensor monopoles through quantum-metric measurements
- Strings and branes with a modified measure
- Tensor Berry connections and their topological invariants
- Superextendons with a modified measure
- Scale Symmetry Spontaneously Broken by Asymptotic Behavior
- Towards a Derivation of Space
- From quantum geometry to non-linear optics and gerbes: Recent advances in topological band theory
- Incorporating the Scale-Relativity Principle in String Theory and Extended Objects
- A group action principle for Nambu dynamics of spin degrees of freedom
- Photons without vector fields
- 2+1 Abelian `Gauge Theory' Inspired by Ideal Hydrodynamics
- On the Integrability Aspects of the Self Dual Membrane
- On the Exact Quantum Integrability of the Membrane