Magnetic catalysis and anisotropic confinement in QCD - INSPIRE

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Magnetic catalysis and anisotropic confinement in QCD

V.A. Miransky
(
- Western Ontario U.
)
,
I.A. Shovkovy
(
- Minnesota U.
)

May, 2002

10 pages

Published in:

Phys.Rev.D 66 (2002) 045006

e-Print:

hep-ph/0205348 [hep-ph]

DOI:

10.1103/PhysRevD.66.045006

View in:

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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

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.

11.30.Rd
12.38.Aw
12.38.Lg
11.30.Qc
quantum chromodynamics
symmetry: chiral
magnetic field: external field
quark: mass
spontaneous symmetry breaking
effective action

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Figures(0)

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