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

Maxim Chernodub (UGent) , Jos Van Doorsselaere (UGent) and Henri Verschelde (UGent)
(2014) PHYSICAL REVIEW D. 89(10).
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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 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.
Keywords
DIMENSIONAL REDUCTION, ELECTROMAGNETIC-FIELD, FLUX LATTICE, CATALYSIS, FLUCTUATIONS, TEMPERATURE, CONDENSATE, THEOREM, SYMMETRY-BREAKING

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Citation

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MLA
Chernodub, Maxim, et al. “Phonon Spectrum of the QCD Vacuum in a Magnetic-Field-Induced Superconducting Phase.” PHYSICAL REVIEW D, vol. 89, no. 10, 2014, doi:10.1103/PhysRevD.89.105011.
APA
Chernodub, M., Van Doorsselaere, J., & Verschelde, H. (2014). Phonon spectrum of the QCD vacuum in a magnetic-field-induced superconducting phase. PHYSICAL REVIEW D, 89(10). https://doi.org/10.1103/PhysRevD.89.105011
Chicago author-date
Chernodub, Maxim, Jos Van Doorsselaere, and Henri Verschelde. 2014. “Phonon Spectrum of the QCD Vacuum in a Magnetic-Field-Induced Superconducting Phase.” PHYSICAL REVIEW D 89 (10). https://doi.org/10.1103/PhysRevD.89.105011.
Chicago author-date (all authors)
Chernodub, Maxim, Jos Van Doorsselaere, and Henri Verschelde. 2014. “Phonon Spectrum of the QCD Vacuum in a Magnetic-Field-Induced Superconducting Phase.” PHYSICAL REVIEW D 89 (10). doi:10.1103/PhysRevD.89.105011.
Vancouver
1.
Chernodub M, Van Doorsselaere J, Verschelde H. Phonon spectrum of the QCD vacuum in a magnetic-field-induced superconducting phase. PHYSICAL REVIEW D. 2014;89(10).
IEEE
[1]
M. Chernodub, J. Van Doorsselaere, and H. Verschelde, “Phonon spectrum of the QCD vacuum in a magnetic-field-induced superconducting phase,” PHYSICAL REVIEW D, vol. 89, no. 10, 2014.
@article{6818887,
  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 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.}},
  articleno    = {{105011}},
  author       = {{Chernodub, Maxim and Van Doorsselaere, Jos and Verschelde, Henri}},
  issn         = {{1550-7998}},
  journal      = {{PHYSICAL REVIEW D}},
  keywords     = {{DIMENSIONAL REDUCTION,ELECTROMAGNETIC-FIELD,FLUX LATTICE,CATALYSIS,FLUCTUATIONS,TEMPERATURE,CONDENSATE,THEOREM,SYMMETRY-BREAKING}},
  language     = {{eng}},
  number       = {{10}},
  pages        = {{12}},
  title        = {{Phonon spectrum of the QCD vacuum in a magnetic-field-induced superconducting phase}},
  url          = {{http://doi.org/10.1103/PhysRevD.89.105011}},
  volume       = {{89}},
  year         = {{2014}},
}

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