Quantum gauge models without classical Higgs mechanism

Abstract

We examine the status of massive gauge theories, such as those usually obtained by spontaneous symmetry breakdown, from the viewpoint of causal (Epstein-Glaser) renormalization. The BRS formulation of gauge invariance in this framework, starting from canonical quantization of massive (as well as massless) vector bosons as fundamental entities, and proceeding perturbatively, allows one to rederive the reductive group symmetry of interactions, the need for scalar fields in gauge theory, and the covariant derivative. Thus the presence of higgs particles is explained without recourse to a Higgs(-Englert-Brout-Guralnik-Hagen-Kibble) mechanism. Along the way, we dispel doubts about the compatibility of causal gauge invariance with grand unified theories.

20 pages in two-column EPJC format, shortened version accepted for publication. For more details, consult version 2

References in corpus (9)

• Higgs boson decays to four fermions through an abelian hidden sector
• Removal of violations of the Master Ward Identity in perturbative QFT
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• Gauge-Dependence of Green's Functions in QCD and QED
• Flesh and Blood, or Merely Ghosts? Some Comments on the Multi-Muon Study at CDF
• Simple two Higgs doublet model
• Phenomenological interpretation of the multi-muon events reported by the CDF collaboration
• The Mathematical Structure of the Quantum BRST Constraint Method
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• How the Higgs potential got its shape
• The Ongoing Impact of Modular Localization on Particle Theory
• The foundational origin of integrability in quantum field theory
• A Hilbert space setting for interacting higher spin fields and the Higgs issue
• The full electroweak interaction: an autonomous account
• Massive vector bosons: is the geometrical interpretation as a spontaneously broken gauge theory possible at all scales?
• On the Scales of Masses in Elementary Particles
• Interactions with quadratic dependence on string-localized massive vectormesons: massive scalar quantum electrodynamics
• A Hilbert Space setting for higher spin interactions which replaces Gauge Theory
• The Interaction of Quantum Gravity with Matter