Quantum kink model and SU(2) symmetry: Spin interpretation and T-violation

TL;DR

This paper explores exact solutions of the Schrödinger equation with Razavi potential, revealing spin-related phenomena and T-violation in a relativistic scalar field model with kink solutions, highlighting symmetry breaking effects.

Contribution

It introduces a novel analysis of wavefunctions and mass spectra in a scalar field model, demonstrating spin interpretation and T-violation due to symmetry breaking near kink solutions.

Findings

Bosons with two different spins appear in the model

T-violation arises from discrete symmetry breaking

Mass spectra are derived for the relativistic scalar field

Abstract

In this paper we consider the class of exact solutions of the Schrodinger equation with the Razavi potential. By means of this we obtain some wavefunctions and mass spectra of the relativistic scalar field model with spontaneously broken symmetry near the static kink solution. Appearance of the bosons, which have two different spins, will be shown in the theory, thereby the additional breaking of discrete symmetry between the quantum mechanical kink particles with the opposite spins (i.e. the T-violation) takes place.