The full electroweak interaction: an autonomous account
José M. Gracia-Bondía, Karl-Henning Rehren, Joseph C. Várilly
September 16, 2024
The precise renormalizable interactions in the bosonic sector of electroweak
theory are intrinsically determined in the autonomous approach to perturbation
theory. This proceeds directly on the Hilbert-Fock space built on the Wigner
unirreps of the physical particles, with their given masses: those of three
massive vector bosons, a photon, and a massive scalar (the "higgs"). Neither
"gauge choices" nor an unobservable "mechanism of spontaneous symmetry
breaking" are invoked. Instead, to proceed on Hilbert space requires using
string-localized fields to describe the vector bosons. In such a framework, the
condition of string independence of the S-matrix yields consistency constraints
on the coupling coefficients, the unique outcome being the experimentally known
one. The analysis can be largely carried out for other configurations of
massive and massless vector bosons, paving the way towards consideration of
consistent mass patterns beyond those of the electroweak theory.
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