Fermionic current carrying cosmic strings: Zero temperature limit and equation of state.

(2000) High Energy Physics - Phenomenology — p. 8 pp. (2000)

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Abstract
The equation of state for a superconducting cosmic string whose current is due to fermionic zero modes is derived analytically in the case where the back-reaction of the fermions to the background is neglected. It is first shown that the zero mode fermions follow a zero temperature distribution because of their interactions (or lack thereof) with the string-forming Higgs and gauge fields. It is then found that the energy per unit length U and the tension T are related to the background string mass m through the simple relation U+T=2m*m. Cosmological consequences are briefly discussed.
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Peter, P., & Ringeval, C. (2000). Fermionic current carrying cosmic strings: Zero temperature limit and equation of state. High Energy Physics - Phenomenology, 8 pp. https://hdl.handle.net/2078.5/51764 (Original work published 2000)