Induced fermionic current by a magnetic tube in the cosmic string spacetime

  title={Induced fermionic current by a magnetic tube in the cosmic string spacetime},
  author={M. S. Maior de Sousa and R F Ribeiro and Eugenio R. Bezerra de Mello},
  journal={Physical Review D},
In this paper, we consider a charged massive fermionic quantum field in the space-time of an idealized cosmic string, in the presence of a magnetic field confined in a cylindrical tube of finite radius. Three distinct configurations for the magnetic field is taken into account: (i) a cylindrical shell of radius $a$, (ii) a magnetic field proportional to $1/r$ and (iii) a constant magnetic field. In these three cases, the axis of the infinitely long tube of radius $a$ coincides with the cosmic… 

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  • Rev. D 36, 3742
  • 1987


  • Math. Phys. 165, 297 (1994); M.E.X. Guimarães, Class. Quantum Grav. 12, 1705 (1995); B. Linet, Class. Quantum Grav. 13, 97
  • 1996


  • Rev. D 53, 6829
  • 1996


  • Rev. D 64, 043004
  • 2001

Saharian, and V.M

  • Bardeghyan, Phys. Rev. D
  • 2010

Classical Quantum Gravity 13

  • L41
  • 1996


  • Rev. D 31 1323
  • 1985


  • Rev. Lett. 85, 3761
  • 2000