Zero-brane approach to quantization of biscalar field theory about topological kink-bell solution

TL;DR

This paper investigates the quantization of a biscalar field theory with topological solutions, introducing a zero-brane approach to compute quantum mass corrections beyond perturbation theory.

Contribution

It proposes a zero-brane method for quantizing topological solutions in biscalar theories, addressing limitations of perturbative techniques.

Findings

Zero-brane approach successfully computes quantum mass corrections.

Zero-brane action with curvature is ruled out for the doublet.

Quantum corrections are obtained beyond perturbation theory.

Abstract

We study the properties of the topologically nontrivial doublet solution arisen in the biscalar theory with a fourth-power potential introducing an example of the spontaneous breaking of symmetry. We rule out the zero-brane (non-minimal point particle) action for this doublet as a particle with curvature. When quantizing it as the theory with higher derivatives, we calculate the quantum corrections to the mass of the doublet which could not be obtained by means of the perturbation theory.