Holographic rho mesons in an external magnetic field - INSPIRE

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Holographic rho mesons in an external magnetic field

May, 2011

23 pages

Published in:

JHEP 03 (2013) 033

e-Print:

1105.2217 [hep-th]

DOI:

10.1007/JHEP03(2013)033

View in:

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Abstract: (Springer)

We study the ρ meson in a uniform magnetic field eB using a holographic QCD-model, more specifically a brane setup in the confinement phase at zero temperature with two quenched flavours. The parameters of the model are fixed by matching to corresponding dual field theory parameters at zero magnetic field. We show that the up- and down-flavour branes respond differently to the presence of the magnetic field in the dual QCD-like theory, as expected because of the different electromagnetic charge carried by up- and down-quark. We discuss how to recover the Landau levels, indicating an instability of the QCD vacuum at towards a phase where charged ρ mesons are condensed, as predicted by Chernodub using effective QCD-models. We improve on these existing effective QCD-model analyses by also taking into account the chiral magnetic catalysis effect, which tells us that the constituent quark masses rise with eB. This turns out to increase the value of the critical magnetic field for the onset of ρ meson condensation to . We briefly discuss the influence of pions, which turn out to be irrelevant for the condensation in the approximation made.

Note:

26 pages, 10 .pdf figures, v2: version accepted for publication in JHEP

rho(770): condensation
magnetic field: external field
temperature: 0
quark: mass
quantum chromodynamics: vacuum state
quantum chromodynamics: holography
flavor: 2
D-brane
duality
confinement

References(94)

Figures(14)

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