Work

CFT approach to rotating field lumps in an attractive potential

Year: 2025

Type: article

Abstract: We demonstrate the importance of relativistic corrections for the study of the stability of ( 2 + 1 )-dimensional nontopological solitons with quartic self-interaction in the low-energy limit. This result is explained by the restoration of conformal symmetry in the nonrelativistic limit. Particularly, the corresponding cubic Gross-Pitaevskii equation supports scale-free nontopological solitons. An unbroken conformal symmetry provides the additional degeneration that allows for the exact result for the energy and angular momentum of the stationary classical solutions. We study the violation of conformal symmetry by relativistic corrections. The emergence of exponentially growing modes on the classical background is demonstrated using analytical approximations and numerical calculations.

Source: Physical review. D/Physical review. D.

DOI: 10.1103/pdrb-sh7n

Authors: Yulia Galushkina, Eduard Kim, Emin Nugaev, Yakov Shnir

Institutions: Institute for Nuclear Research, Moscow Institute of Physics and Technology, Joint Institute for Nuclear Research

Language: English

Topic: Nonlinear Waves and Solitons

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Funders: Russian Science Foundation, Foundation for the Advancement of Theoretical Physics and Mathematics

Award: G6771052649