Phantom "renormalization" of mass of a quantized electric charge

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

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Scientific paper

10.1142/S0217732310034298

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.

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