Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2002-05-31
Phys.Rev. D66 (2002) 045006
Physics
High Energy Physics
High Energy Physics - Phenomenology
10 pages, 1 figure. REVTeX. Minor correction. To appear in Phys. Rev. D
Scientific paper
10.1103/PhysRevD.66.045006
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 $N^{thr}_c$, dividing the theories with essentially different dynamics, is established. For the number of colors $N_c \ll N^{thr}_c$, an anisotropic dynamics of confinement with the confinement scale much less than $\Lambda_{QCD}$ and a rich spectrum of light glueballs is realized. For $N_c$ of order $N^{thr}_c$ or larger, a conventional confinement dynamics takes place. It is found that the threshold value $N^{thr}_c$ grows rapidly with the magnetic field [$N^{thr}_c \gtrsim 100$ for $|eB| \gtrsim (1{GeV})^2$]. In contrast to QCD with a nonzero baryon density, there are no principal obstacles for checking these results and predictions in lattice computer simulations.
Miransky V. A.
Shovkovy Igor A.
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