The Higgs mechanism in nonlocal field theory

Abstract

We provide an example of nonlocal scalar electrodynamics that allows the same Higgs mechanism so successful in local field theory. The nonlocal action is structured in order to have the same exact solutions and the same equations of motion for perturbations of the local theory, at any perturbative order. Therefore, the perturbative degrees of freedom that propagate in the unstable vacuum are reshuffled when the stable vacuum is replaced in the EoM, but their number does not change at any perturbative order, and their properties are the same like in the usual local theory. Finally, the theory is super-renormalizable or finite at quantum level.

4 pages

References in corpus (3)

• Counting ghosts in the "ghost-free" non-local gravity
• Nonlocal quantum gravity and M-theory
• Nonlinear stability in nonlocal gravity

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• Quantum avoidance of Gödel's closed timelike curves
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• Renormalisable Non-local Quark-Gluon Interaction: Mass Gap, Chiral Symmetry Breaking & Scale Invariance
• Acausal exact vacuum solutions in nonlocal gravity
• A novel nonlocal spin-1/2 theory: classical and quantum aspects
• Tree-level scattering amplitudes in nonlocal field theories