Values of the Couplings and Internal Geometry

TL;DR

This paper explores the geometric properties of the gauge group in the electroweak theory, linking the gauge coupling value to geometric structures and suggesting a connection to string theory's relevance to particle physics.

Contribution

It presents a geometric interpretation of gauge couplings in the electroweak theory and relates them to string theory techniques, proposing a phenomenological link.

Findings

Relation between the gauge coupling value 137.036... and the geometry of the gauge group

Use of string and D-brane inspired techniques in gauge coupling analysis

Indication of string theory's relevance to quantum field theory and particle physics

Abstract

In this note we display an observation about the geometrical properties of the gauge group manifold of the standard electroweak theory, and the values of the gauge coupling constants. Heuristically obtained stucture relates the value 137.036... to the low energy U(1) coupling. The constuction resembles techniques recently used within the framework of the string and D-brane theory. We consider this as an indication that the string theory has direct relevance for the phenomenological QFT and particle physics.