Magnetic catalysis and anisotropic confinement in QCD

V. A. Miransky, I. A. Shovkovy

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171 Scopus citations


The expressions for dynamical masses of quarks in the chiral limit in QCD in a strong magnetic field are obtained. A low energy effective action for the corresponding Nambu-Goldstone bosons is derived and the values of their decay constants as well as the velocities are calculated. The existence of a threshold value of the ' number of colors N c thr, dividing the theories with essentially different dynamics, is established. For the number of colors N c≪N c thr, an anisotropic dynamics of confinement with the confinement scale much less than AΛ QCD and a rich spectrum of light glueballs is realized. For N c of order N c thr or larger, a conventional confinement dynamics takes place. It is found that the threshold value N c thr grows rapidly with the magnetic field [N c thr≳ 100 for |eB|≳(1 Gev) 2]. In contrast with QCD with a nonzero baryon density, there are no principal obstacles for examining these results and predictions in lattice computer simulations.

Original languageEnglish (US)
Article number045006
JournalPhysical Review D
Issue number4
StatePublished - 2002
Externally publishedYes

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

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