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Azimuthal Fermionic Current in the Cosmic String Spacetime Induced by a Magnetic Tube

Centro de Educação, CAp, Universidade Federal de Roraima, Boa Vista 69304-000, Brazil
Departamento de Física; Universidade Federal da Paraíba, João Pessoa 58059-900, Brazil
Author to whom correspondence should be addressed.
These authors contributed equally to this work.
Particles 2018, 1(1), 82-96;
Received: 23 January 2018 / Revised: 12 March 2018 / Accepted: 12 March 2018 / Published: 16 March 2018
PDF [358 KB, uploaded 20 July 2018]


In this paper, we calculate the vacuum expectation value of the azimuthal fermionic current, associated with a massive fermionic quantum field in the spacetime of an idealized cosmic string, considering the presence of a magnetic tube of radius a, coaxial to the string. In this analysis three distinct configurations of magnetic field are considered: (i) a magnetic field concentrated on a surface of the tube; (ii) a magnetic field presenting a 1 / r radial dependence; and (iii) an homogeneous magnetic field. In order to develop this analysis , we construct the complete set of normalized solution of the Dirac equation in the region outside the tube. By using the mode-sum formula, we show that the azimuthal induced current is formed by two contributions: the first being the current induced by a line of magnetic flux running along the string, and the second, named core-induced current, is induced by the non-vanishing extension of the magnetic tube. The first contribution depends only on the fractional part of the ration of the magnetic flux inside the tube by the quantum one; as to the second contribution, it depends on the total magnetic flux. We specifically analyze the core-induced current in several limits of the parameters and distance to the tube. View Full-Text
Keywords: cosmic string spacetime; induced current; magnetic flux cosmic string spacetime; induced current; magnetic flux

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Maior de Sousa, M.S.; Freire Ribeiro, R.; Bezerra de Mello, E.R. Azimuthal Fermionic Current in the Cosmic String Spacetime Induced by a Magnetic Tube. Particles 2018, 1, 82-96.

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