Equation of state of cosmic strings with fermionic current-carriers

Details Equation of state of cosmic strings with fermionic current-carriers Equation of state of cosmic strings with fermionic current-carriers

2000-07-03

arxiv.org/abs/hep-ph/0007015v2

Phys.Rev. D63 (2001) 063508

Physics

High Energy Physics

High Energy Physics - Phenomenology

30 pages, 15 figures, uses ReVTeX, equation of state corrected, comments and references added. Accepted for publication in Phy

Scientific paper

10.1103/PhysRevD.63.063508

The relevant characteristic features, including energy per unit length and tension, of a cosmic string carrying massless fermionic currents in the framework of the Witten model in the neutral limit are derived through quantization of the spinor fields along the string. The construction of a Fock space is performed by means of a separation between longitudinal modes and the so-called transverse zero energy solutions of the Dirac equation in the vortex. As a result, quantization leads to a set of naturally defined state parameters which are the number densities of particles and anti-particles trapped in the cosmic string. It is seen that the usual one-parameter formalism for describing the macroscopic dynamics of current-carrying vortices is not sufficient in the case of fermionic carriers.

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