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The quark mass gap in strong magnetic fields

Toru Kojo
(
- Illinois U., Urbana
)
,
Nan Su
(
- Bielefeld U.
)

Jul 29, 2014

6 pages

Part of Proceedings, 24th International Conference on Ultra-Relativistic Nucleus-Nucleus Collisions (Quark Matter 2014) : Darmstadt, Germany, May 19-24, 2014, 763-768

Published in:

Nucl.Phys.A 931 (2014) 763-768

Contribution to:

- Quark Matter 2014
, 763-768

Published: Nov, 2014

e-Print:

1407.7925 [hep-ph]

DOI:

10.1016/j.nuclphysa.2014.08.004

View in:

ADS Abstract Service

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Abstract: (Elsevier)

Quarks in strong magnetic fields ( |eB|≫ΛQCD2∼0.04 GeV2 ) acquire enhanced infrared phase space proportional to |eB| . Accordingly they provide larger chiral condensates and stronger backreactions to the gluon dynamics. Confronting theories with lattice data at various values of |eB| , one can test theoretical ideas as well as validity of various approximations, domain of applicability of the effective models, and so on. The particularly interesting findings on the lattice are inverse magnetic catalysis and linear growth of the chiral condensate as a function of |eB| , which pose theoretical challenges. In this talk we propose a scenario to explain both phenomena, claiming that the quark mass gap should stay at around ∼ΛQCD , instead of ∼|eB|1/2 which has been supposed from dimensional arguments and/or effective model calculations. The contrast between infrared and ultraviolet behaviors of the interaction is a key ingredient to obtain the mass gap of ∼ΛQCD .

Note:

4 pages, proceedings of the XXIV Quark Matter conference, May 19-24 2014, Darmstadt (Germany)

Landau degeneracy
Chiral symmetry breaking
Strong magnetic fields
quark: condensation
condensation: chiral
symmetry breaking: chiral
quark: mass
mass: gap
magnetic field: high
effective Lagrangian

References(15)

Figures(0)

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