Abstract
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 dividing the theories with essentially different dynamics, is established. For the number of colors an anisotropic dynamics of confinement with the confinement scale much less than and a rich spectrum of light glueballs is realized. For of order or larger, a conventional confinement dynamics takes place. It is found that the threshold value grows rapidly with the magnetic field for In contrast with QCD with a nonzero baryon density, there are no principal obstacles for examining these results and predictions in lattice computer simulations.
- Received 5 June 2002
DOI:https://doi.org/10.1103/PhysRevD.66.045006
©2002 American Physical Society