Quantum-corrected three-dimensional AdS space-time

TL;DR

This paper investigates quantum-corrected solitons in three-dimensional anti-de Sitter space-time, deriving solutions from quantum-corrected Einstein equations and comparing mass calculations from quantum field theory and relativistic kinetic theory.

Contribution

It introduces the first analysis of quantum-corrected solitons in 3D AdS space, solving linearized Einstein equations with quantum stress-energy tensor inputs.

Findings

Derived quantum-corrected soliton solutions in 3D AdS space.

Calculated soliton masses using QFT and RKT methods.

Found agreement between QFT and RKT mass estimates.

Abstract

We study quantum-corrected solitons in global, three-dimensional, anti-de Sitter (AdS) space-time. These static solitons have a regular origin and arise as solutions of the linearized quantum-corrected Einstein equations (LQCEE). On the right-hand-side of the LQCEE is the renormalized expectation value of the stress-energy tensor operator for a massless, conformally coupled, quantum scalar field in a nonrotating thermal state, computed in quantum field theory (QFT), or using relativistic kinetic theory (RKT). We calculate the mass of the solitons and compare the results from QFT and RKT.