Charged vector particles in a magnetic field

Obukhov, I. A.; Peres-Fernandes, V. K.; Ternov, I. M.; Khalilov, V. R.

doi:10.1007/bf01015164

Cited by 4 publications

(6 citation statements)

References 3 publications

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“…related to the magnetic moment µ as µ = (1 + k)e/(2m) so to the gyromagnetic ratio g as g = 1 + k [87]. Because in this simple embedding we have f 1 = f 3 , we immediately see from the normalization condition that k = 1 and thus g = 2, describing a non-minimal coupling of the ρ mesons to the background magnetic field.…”

Section: Exploring the ρ Meson Massmentioning

confidence: 99%

“…the Proca action [87,88] or DSGS action for self-consistent ρ meson quantum electrodynamics to second order in the fields [89]):…”

Section: Exploring the ρ Meson Massmentioning

confidence: 99%

“…Let us quickly repeat how to derive this from the effective action, following for example [87] (up to conventions).…”

Section: Exploring the ρ Meson Massmentioning

confidence: 99%

“…The effective four-dimensional action thus again takes the form of the standard four-dimensional action used to describe the coupling of charged vector mesons to an external magnetic field (i.e. the Proca action [87,88] or DSGS action for self-consistent ρ meson quantum electrodynamics to second order in the fields [89]), but with the influence of the constituent quarks reflected in the magnetic field dependence of m ρ :…”

Section: B Non-antipodal Embedding (Umentioning

confidence: 99%

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Holographic ρ mesons in an external magnetic field

Callebaut

Dudal

Verschelde

2013

J. High Energ. Phys.

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We study the ρ meson in a uniform magnetic field eB using a holographic QCD-model, more specifically a D4/D8/D8 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 eB = m 2 ρ 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 eB ≈ 1.1 m 2 ρ ≈ 0.67 GeV 2 .We briefly discuss the influence of pions, which turn out to be irrelevant for the condensation in the approximation made.

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Section: Exploring the ρ Meson Massmentioning

confidence: 99%

“…the Proca action [87,88] or DSGS action for self-consistent ρ meson quantum electrodynamics to second order in the fields [89]):…”

Section: Exploring the ρ Meson Massmentioning

confidence: 99%

“…Let us quickly repeat how to derive this from the effective action, following for example [87] (up to conventions).…”

Section: Exploring the ρ Meson Massmentioning

confidence: 99%

Section: B Non-antipodal Embedding (Umentioning

confidence: 99%

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Holographic ρ mesons in an external magnetic field

Callebaut

Dudal

Verschelde

2013

J. High Energ. Phys.

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“…The standard 4-dimensional action used to describe the coupling of charged rho mesons to an external magnetic field is the Proca action [68] (which is equivalent to the DSGSaction [32] for self-consistent rho meson quantum electrodynamics to second order in the fields). The Proca action is equal to (4.64) with m + = 0 and m ρ and k(= 1) independent of B: there is only explicit dependence of the action on B, which is to be traced back to the treatment of the rho mesons as point-like structureless particles.…”

Section: Jhep01(2014)055mentioning

confidence: 99%

A magnetic instability of the non-Abelian Sakai-Sugimoto model

Callebaut

Dudal

2014

J. High Energ. Phys.

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In this follow-up paper of [1] we further discuss the occurrence of a magnetically induced tachyonic instability of the rho meson in the two-flavour Sakai-Sugimoto model, uplifting two remaining approximations in the previous paper. That is, firstly, the magnetically induced splitting of the branes is now taken into account, evaluating without approximations the symmetrized trace which enters in the non-Abelian Dirac-Born-Infeld (DBI) action. This leads to an extra mass generating effect for the charged heavy-light rho meson through a holographic Higgs mechanism. Secondly, we compare the results in the approximation to second order in the field strength to the results using the full DBIaction. Both improvements cause an increase of the critical magnetic field for the onset of rho meson condensation. In addition, the stability in the scalar sector in the presence of the magnetic field is discussed.

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