2014/01/31 by M. N. Chernodub, Jos Van Doorsselaere, Henri Verschelde
Engineering · Physics and Astronomy · #Anisotropy #Condensed matter physics #Dispersion relation #High-Energy Particle Collisions Research #Lattice (music) #Lattice QCD #Magnetic field #Phonon #Physics #Physics of Superconductivity and Magnetism #QCD vacuum #Quantum electrodynamics #Quantum mechanics #Quark #Superconducting Materials and Applications #Superconductivity #Vortex #hep-ph
paper · pdf · doi:10.1103/physrevd.89.105011
published as Phys. Rev. D 89, 105011 (2014) · 12 pages, 3 figures; v2: minor changes, published version
openalex publication_date 2014/05/13 · arxiv created 2014/06/16 · arxiv updated 2014/06/17 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.