An alternative to the gauge theoretic setting

Abstract

The standard formulation of gauge theories results from the Lagrangian (functional integral) quantization of classical gauge theories. A more intrinsic qunantum theoretical access in the spirit of Wigner's representation theory shows that there is a fundamental clash between the pointlike localization of zero mass (vector, tensor) potentials and the Hilbert space (positivity, unitarity) structure of QT. The quantization approach has no other way than to stay with pointlike localization and sacrifice the Hilbert space whereas the approach build on the intrinsic quantum concept of modular localization keeps the Hilbert space and trades the conflict creating pointlike generation with the tightest consistent localization:: semiinfinite spacelike string localization. Whereas these potentials in the presence of interactions stay quite close to associated pointlike field strength, the interacting matter fields to which they are coupled bear the brunt of the nonlocal aspect in that they are string.generated in a way which cannot be undone by any differentiation. The new stringlike approach to gauge theory also revives the idea of a Schwinger-Higgs screening mechanism as a deeper and less metaphoric description of the Higgs spontaneous symmetry breaking and its accompanying tale about "God's particle" and its mass generation for all other particles.

26 pages

References in corpus (2)

• Quantum gauge models without classical Higgs mechanism
• Unexplored regions in QFT and the conceptual foundations of the Standard Model

Cited by in corpus (13)

• Gauss' Law and String-Localized Quantum Field Theory
• How the Higgs potential got its shape
• The Ongoing Impact of Modular Localization on Particle Theory
• The Isotopic Field-Charge Assumption Applied to the Electromagnetic Interaction
• On string-localized potentials and gauge fields
• Causality and dispersion relations and the role of the S-matrix in the ongoing research
• The foundational origin of integrability in quantum field theory
• Peculiarities of massive vectormesons and their zero mass limits
• A Hilbert space setting for interacting higher spin fields and the Higgs issue
• The Einstein-Jordan conundrum and its relation to ongoing foundational research in local quantum physics
• Placing hidden properties of quantum field theory into the forefront: wedge localization and a new constructive on-shell setting
• 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