Effective Energy Approach to Collectively Quantized Systems

TL;DR

This paper introduces a generalized effective energy variational method for quantized solitonic systems, enabling numerical evaluation of quantum corrections to soliton properties with attention to regularization.

Contribution

It extends collective quantization techniques to compute one-loop quantum corrections in solitonic field theories with a focus on numerical implementation and regularization.

Findings

Successfully computed one-loop quantum corrections to soliton mass.

Demonstrated numerical implementation in a one-dimensional scalar field model.

Provided a framework for regularizing physical observables in solitonic sectors.

Abstract

We generalize effective energy variational techniques to study appropriately quantized solitonic field configurations. Our approach rests on collective quantization ideas and is specifically designed for the numerical evaluation of soliton parameters. We employ this method to obtain the one-loop quantum corrections to the soliton mass and form factor. Special attention is given to the regularization of the physical observables in the solitonic sector of the theory. The numerical implementation of the method is demonstrated for a simple one-dimensional scalar field example.