TY - JOUR
T1 - Magnetic catalysis and anisotropic confinement in QCD
AU - Miransky, V. A.
AU - Shovkovy, I. A.
PY - 2002
Y1 - 2002
N2 - 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 Ncthr, dividing the theories with essentially different dynamics, is established. For the number of colors Nc≪Ncthr, an anisotropic dynamics of confinement with the confinement scale much less than AΛQCD and a rich spectrum of light glueballs is realized. For Nc of order Ncthr or larger, a conventional confinement dynamics takes place. It is found that the threshold value Ncthr grows rapidly with the magnetic field [Ncthr≳ 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.
AB - 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 Ncthr, dividing the theories with essentially different dynamics, is established. For the number of colors Nc≪Ncthr, an anisotropic dynamics of confinement with the confinement scale much less than AΛQCD and a rich spectrum of light glueballs is realized. For Nc of order Ncthr or larger, a conventional confinement dynamics takes place. It is found that the threshold value Ncthr grows rapidly with the magnetic field [Ncthr≳ 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.
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U2 - 10.1103/PhysRevD.66.045006
DO - 10.1103/PhysRevD.66.045006
M3 - Article
AN - SCOPUS:0037104509
VL - 66
JO - Physical review D: Particles and fields
JF - Physical review D: Particles and fields
SN - 1550-7998
IS - 4
M1 - 045006
ER -