Soliton vacuum energies and the CP(1) model

TL;DR

This paper calculates the vacuum energy of a CP(1) soliton in 2+1 dimensions using phase shifts and heat kernel methods, linking quantum soliton properties with wave scattering techniques.

Contribution

It introduces a method to compute soliton vacuum energies in the CP(1) model using phase shifts and heat kernel techniques, providing a concrete example.

Findings

Vacuum energy of a CP(1) soliton in 2+1 dimensions calculated.

Method links quantum properties of solitons with wave phase shifts.

Demonstrates application of heat kernel methods to soliton quantum energies.

Abstract

The quantum properties of solitons at one loop can be related to phase shifts of waves on the soliton background. These can be combined with heat kernel methods to calculate various parameters. The vacuum energy of a CP(1) soliton in 2+1 dimensions is calculated as an example.