Phantom "renormalization" of mass of a quantized electric charge

preprint2010arXivOpen access

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 ff of the potential term. The mass mm of a wormhole filled with a phantom and electrostatic fields is calculated. It is shown that close to some point f0f_0 a small value of the mass mm 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.

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