Magnetic catalysis and anisotropic confinement in QCD

By V. A. Miransky, I. Shovkovy. 2002

132 citations recorded by the source corpus.

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 ${N}_{c}^{\mathrm{thr}},$ dividing the theories with essentially different dynamics, is established. For the number of colors ${N}_{c}\ensuremath{\ll}{N}_{c}^{\mathrm{thr}},$ an anisotropic dynamics of confinement with the confinement scale much less than ${\ensuremath{\Lambda}}_{\mathrm{QCD}}$ and a rich spectrum of light glueballs is realized. For ${N}_{c}$ of order ${N}_{c}^{\mathrm{thr}}$ or larger, a conventional confinement dynamics takes place. It is found that the threshold value ${N}_{c}^{\mathrm{thr}}$ grows rapidly with the magnetic field $[{N}_{c}^{\mathrm{thr}}\ensuremath{\gtrsim}100$ for $|\mathrm{eB}|\ensuremath{\gtrsim}(1\mathrm{GeV}{)}^{2}].$ In contrast with QCD with a nonzero baryon density, there are no principal obstacles for examining these results and predictions in lattice computer simulations.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/2cccc264eae963f4292319aa2664f27db8d20aab

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In Nuclear and High Energy Physics

Citations in the corpus

Quantum field theory in a magnetic field: From quantum chromodynamics to graphene and Dirac semimetals (2015, methodology): “[127], the magnetic catalysis in QCD was studied rigo rously, from first principles.”
Axial anomaly and magnetism of nuclear and quark matter (2007, background): “There have been several studies of the structure of QCD vacuum in high magnetic fields [1, 2, 3, 4].”
Magnetic Catalysis: A Review (2012, methodology): “Since the chiral symmetry plays a profound role in QCD, it is interesting to study also the role of magnetic catalysis in this theory [144, 121].”
The QCD phase diagram for external magnetic fields (2011, background): “On the other hand, it was also conjectured that the running of the strong coupling in the presence of magnetic fields may modify this magnetic catalysis, and even turn the effect around to make the dynamical mass decrease with B in some regions [36].”