2001
DOI: 10.1103/physrevd.63.063508
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Equation of state of cosmic strings with fermionic current carriers

Abstract: 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 defin… Show more

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Cited by 19 publications
(15 citation statements)
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References 46 publications
(88 reference statements)
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“…(3.5). 8 The second and the third terms represent the massive bounded modes in the string and the unbounded continuous modes, respectively [17,35,36]. The creation operators of the zero modes satisfy,…”
Section: Decay Of Fermion Zero Mode In Curved Stringmentioning
confidence: 99%
See 1 more Smart Citation
“…(3.5). 8 The second and the third terms represent the massive bounded modes in the string and the unbounded continuous modes, respectively [17,35,36]. The creation operators of the zero modes satisfy,…”
Section: Decay Of Fermion Zero Mode In Curved Stringmentioning
confidence: 99%
“…In this analysis, we do not take into account the contributions of the bounded massive modes to the fermion propagator [17,35,36]. The fermion zero mode can also decay into the SM particles through the mixing with the bounded massive modes due to the modulation.…”
Section: Jhep05(2021)217mentioning
confidence: 99%
“…We have solved numerically the coupled set of differential equations (9), (11) and (12), subject to the appropriate boundary conditions (13) and (14).…”
Section: B Numerical Constructionmentioning
confidence: 99%
“…[10] and references therein), in which case they are very likely to have bosonic condensates [11] or be currentcarrying [12]. The structure of such objects has been studied in detail for many models, from the original Witten [13] fermionic [14,15] or bosonic kind [16][17][18][19], leading to effective equations of state [20,21] potentially useful for large scale network simulations [22,23]. Until the reason why strings have yet not been observed in the CMB is clarified, it is therefore of utmost importance to understand in as many details as possible their internal structure and the associated plausible cosmological consequences.…”
Section: Introductionmentioning
confidence: 99%
“…By substituting the non-vanishing components of the torsion (25) and (26) satisfying the SCP into the expression for the spin density of a Weyssenhoff fluid (28), it is straightforward to show that the spin-density tensor has to vanish:…”
Section: Weyssenhoff Fluid With Macroscopic Spin Averagingmentioning
confidence: 99%