The Size of a Soliton

TL;DR

This paper investigates the Bound State Conjecture in 2D scalar field theory by calculating quantum corrections to soliton size, supporting the view of solitons as bound states.

Contribution

It provides the first calculation of quantum corrections to soliton size in this context, offering evidence for the Bound State Conjecture.

Findings

Quantum correction to soliton size calculated.

Results support solitons as bound states.

Behavior consistent with the Bound State Conjecture.

Abstract

We consider the recently proposed Bound State Conjecture for quantum field theory in the context of solitons in two dimensional $\phi^4$ scalar field theory. We calculate the quantum correction to the size of the soliton which, taken together with the known mass correction, shows behaviour consistent with regarding the soliton as a bound state, and with the conjecture.