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.
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
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.
This is an open access article distributed under the Creative Commons Attribution License
which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
Share & Cite This Article
MDPI and ACS Style
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.
Maior de Sousa MS, Freire Ribeiro R, Bezerra de Mello ER. Azimuthal Fermionic Current in the Cosmic String Spacetime Induced by a Magnetic Tube. Particles. 2018; 1(1):82-96.
Maior de Sousa, Mikael S.; Freire Ribeiro, Rubens; Bezerra de Mello, Eugênio R. 2018. "Azimuthal Fermionic Current in the Cosmic String Spacetime Induced by a Magnetic Tube." Particles 1, no. 1: 82-96.
Show more citation formats
Show less citations formats
[Return to top]
Multiple requests from the same IP address are counted as one view.