Large solitons flattened by small quantum corrections

TL;DR

This paper introduces a UV-completed FLS model that reveals how quantum corrections can significantly alter the energy scaling of large non-topological solitons, making them effectively flatter.

Contribution

It presents a new UV-completion of the FLS model and demonstrates how quantum effects induce a mass scale that changes soliton energy behavior.

Findings

Quantum corrections induce a new mass scale via Coleman-Weinberg mechanism.

Large solitons exhibit linear energy scaling due to quantum effects.

UV-completion enables thin-wall approximation for non-topological solitons.

Abstract

We propose a general form of the UV-completed Friedberg-Lee-Sirlin (FLS) model. As can be seen from the mechanical interpretation, UV-completion allows thin-wall approximation for non-topological solitons. The 1-loop renormalized effective potential for the UV-completed FLS model is constructed under the assumption of mass hierarchy. By special choice of parameters, we studied how the Coleman-Weinberg mechanism induces a new mass scale $\omega_{-}$ in the classical FLS model. It can be expounded in terms of a stable condensate. As a consequence, the asymptotic of a non-topological soliton's energy at large charge is changed from $\sim Q^{3/4}$ to the linear law.