Does noncommutative geometry predict nonlinear Higgs mechanism?

Higgs mass and noncommutative geometry

We show that the description of the electroweak interactions based on noncommutative geometry of a continuous and a discrete space gives no special relations between the Higgs mass and other parameters of the model. We prove that there exists a gauge invariant term, linear in the curvature, which is trivial in the standard differential geometry but nontrivial in the case of the discrete geometr...

The Inverse Seesaw Mechanism in Noncommutative Geometry

In this publication we will implement the inverse Seesaw mechanism [2] into the noncommutative framework [1] on the basis of the AC-extension of the Standard Model [3]. The main difference to the classical AC model is the chiral nature of the AC fermions with respect to a U(1)X extension of the Standard Model gauge group. It is this extension which allows us to couple the right-handed neutrinos...

Does the Higgs Mechanism Exist?

This paper explores the argument structure of the concept of spontaneous symmetry breaking in the electroweak gauge theory of the Standard Model: the so-called Higgs mechanism. As commonly understood, the Higgs argument is designed to introduce the masses of the gauge bosons by a spontaneous breaking of the gauge symmetry of an additional field, the Higgs field. The technical derivation of the ...

Nonlinear Brownian Motion and Higgs Mechanism

An extension of the stochastic quantization scheme is proposed by adding nonlinear terms to the field equations. Our modification is motivated by the recently established theory of active Brownian motion. We discuss a way of promoting this theory to the case of infinite degrees of freedom. Equilibrium distributions can be calculated exactly and are interpreted as path integral densities of quan...

Noncommutative geometry