Phantom "renormalization" of mass of a quantized electric charge

TL;DR

This paper presents a wormhole solution in gravity with phantom and electromagnetic fields, exploring how the wormhole's mass relates to quantum renormalization concepts and Wheeler's idea of 'mass without mass.'

Contribution

It introduces a specific wormhole solution with a unique parameter choice and discusses its mass in relation to quantum field theory renormalization and Wheeler's concept.

Findings

Small wormhole mass as a difference of large field masses near a critical parameter.

Connection established between wormhole mass and quantum renormalization.

Discussion of 'mass without mass' concept in the context of the solution.

Abstract

A regular wormhole solution in gravity coupled with a phantom scalar and electromagnetic fields is found. The solution exists for a special choice of the parameter $f$ of the potential term. The mass $m$ of a wormhole filled with a phantom and electrostatic fields is calculated. It is shown that close to some point $f_0$ a small value of the mass $m$ is the remainder of two big masses of the phantom and electrostatic fields. The connection with the renormalization procedure in quantum filed theory is considered. The connection between Wheeler's idea ``mass without mass'' and renormalization procedure in quantum field theory is discussed.