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Phonon spectrum of QCD vacuum in magnetic-field-induced superconducting phase

Abstract : In the background of a sufficiently strong magnetic field the vacuum was suggested to become an ideal electric conductor (highly anisotropic superconductor) due to an interplay between the strong and electromagnetic forces. The superconducting ground state resembles an Abrikosov lattice state in an ordinary type-II superconductor: it is an inhomogeneous structure made of a (charged vector) quark-antiquark condensate pierced by vortices. In this paper the acoustic (phonon) vibrational modes of the vortex lattice are studied in the mean-field approach at zero temperature. Using an effective model based on a vector meson dominance, we show that in the infrared limit the longitudinal (transverse) acoustic vibrations of the vortex lattice possess a linear (quadratic) dispersion relation corresponding to type I (type II) Nambu-Goldstone modes.
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https://hal.archives-ouvertes.fr/hal-00923552
Contributor : Maxim Chernodub <>
Submitted on : Friday, January 3, 2014 - 11:00:05 AM
Last modification on : Thursday, December 13, 2018 - 4:43:04 PM

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M. N. Chernodub, Jos van Doorsselaere, Henri Verschelde. Phonon spectrum of QCD vacuum in magnetic-field-induced superconducting phase. Physical Review D, American Physical Society, 2014, 89, pp.105011. ⟨10.1103/PhysRevD.89.105011⟩. ⟨hal-00923552⟩

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