Spontaneous symmetry breaking as a triangular relation between pairs of Goldstone bosons and the degenerate vacuum: Interactions of D-branes

TL;DR

This paper presents a novel formulation of the Nambu-Goldstone theorem as a triangular relation involving Goldstone bosons and vacuum degeneracy, linking D-brane interactions in String Theory to Goldstone boson properties.

Contribution

It introduces a new perspective on spontaneous symmetry breaking by framing it as a triangular relation and connects D-brane interactions with Goldstone boson characteristics within String Theory.

Findings

Vacuum degeneracy arises naturally from the triangular relation.

D-brane interactions correspond to specific properties of Goldstone bosons.

The formulation provides a unified view of symmetry breaking and D-brane dynamics.

Abstract

We formulate the Nambu-Goldstone theorem as a triangular relation between pairs of Goldstone bosons with the degenerate vacuum. The vacuum degeneracy is then a natural consequence of this relation. Inside the scenario of String Theory, we then find that there is a correspondence between the way how the $D$-branes interact and the properties of the Goldstone bosons.