# Low-energy effective quantum field theoretic description of excitations about soliton configurations

## TL;DR

This paper develops a quantum field theoretic framework for describing low-energy excitations around soliton configurations, linking classical solitons with quantum states and analyzing observable signatures.

## Contribution

It introduces a low-energy effective quantum field theory for soliton excitations and explores their quantum state representation and physical observable signatures.

## Key findings

- Coherent state description of kink-solitons established.
- Relation between topological solitons and low-momentum excitations clarified.
- Detection methods for soliton configurations via correlation functions proposed.

## Abstract

Solitons are the classical field configurations connecting two trivial vacua. These are also the solutions of classical field equations of motion with particle-like properties. Moreover, they are localized in space, having finite energy, and are stable against decay into radiation. The coherent state description of kink-solitons is discussed in the present article. Further, the relation between topological solitons and occupation numbers corresponding to low momentum excitations are also discussed coherently. The description of the low energy excitations about solitons in quantum field theory is the main theme of this article. Further, a few physical observables, namely some low order correlation functions, are computed up to certain integral forms. Furthermore, we have shown that it is possible to detect the presence of soliton-like classical configurations in many-particle systems from the nature of the one-point function and non-conservation of momentum feature of one-point, two-point and three-point functions in this low-energy effective field theory of these excitations.