UV-regularization of field discontinuities

TL;DR

This paper introduces a nonperturbative UV-regularization method for field discontinuities in 1+1-dimensional kink models, linking it to quantum copies of classical solutions and confirming its effectiveness through established soliton quantization techniques.

Contribution

It presents a novel UV-regularization approach for field discontinuities and explores its connection to quantum copies of classical kink solutions.

Findings

Regularization effectively handles UV-divergencies caused by field discontinuities.

The method reveals the emergence of quantum copies of classical kinks.

Confirmation through conventional soliton quantization methods.

Abstract

A nonperturbative regularization of UV-divergencies, caused by finite discontinuities in the field configuration, is discussed in the context of 1+1-dimensional kink models. The relationship between this procedure and the appearance of "quantum copies" of classical kink solutions is studied in detail and confirmed by conventional methods of soliton quantization.