A Quantizable Model of Massive Gauge Vector Bosons without Higgs

TL;DR

This paper proposes a Higgs-less gauge theory model that generates vector boson masses via a non-linear sigma-model on G/H, maintaining gauge invariance and quantum integrability, offering an alternative to the Standard Model's Higgs mechanism.

Contribution

It introduces a novel Higgs-less gauge model using a partial-trace sigma-model on G/H, preserving gauge invariance and quantum integrability, applicable to electroweak and strong interactions.

Findings

Mass terms for vector bosons without Higgs field.

Maintains gauge invariance and quantum integrability.

Applicable to electroweak and strong interaction models.

Abstract

We incorporate the parameters of the gauge group G into the gauge theory of interactions through a non-linear partial-trace sigma-model Lagrangian on G/H. The minimal coupling of the new (Goldstone-like) scalar bosons provides mass terms to those intermediate vector bosons associated with the quotient G/H, without spoiling gauge invariance, remaining the H-vector potentials massless. The main virtue of a partial trace on G/H, rather than on the entire G, is that we can find an infinite-dimensional symmetry, with non-trivial Noether invariants, which ensures quantum integrability in a non-canonical quantization scheme. The present formalism is explicitly applied to the case G=SU(2)x U(1), as a Higgs-less alternative to the Standard Model of electroweak interactions, although it can also be used in low-energy phenomenological models for strong interactions.