Strongly Interacting Matter in Magnetic Fields: A Guide to This Volume

Kharzeev, Dmitri E.; Landsteiner, Karl; Schmitt, Andreas; Yee, Ho‐Ung

doi:10.1007/978-3-642-37305-3_1

Cited by 329 publications

(462 citation statements)

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“…While it is already well known that magnetic fields can influence the properties of the chiral phase transition [167,168,169] (for a recent review see e.g. [170]), their effect on inhomogeneous phases might be even more significant. This is related to the effective dimensional…”

Section: Magnetic Fieldsmentioning

confidence: 99%

Inhomogeneous chiral condensates

Buballa

Carignano

2015

Progress in Particle and Nuclear Physics

241

258

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The chiral condensate, which is constant in vacuum, may become spatially modulated at moderately high densities where in the traditional picture of the QCD phase diagram a first-order chiral phase transition occurs. We review the current status of this idea, which originally dates back to Migdal's pion condensation, but recently received new momentum through studies on the nature of the chiral critical point and by the conjecture of a quarkyonic-matter phase. We discuss how these nonuniform phases emerge in generalized Ginzburg-Landau analyses as well as in specific calculations, both within effective models and in Dyson-Schwinger or large-N c approaches to QCD. Questions about the most favored shape of the modulations and its dimension, and about the effects of nonzero isospin chemical potential, strange quarks, color superconductivity, and external magnetic fields on these inhomogeneous phases will be addressed as well.

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Section: Magnetic Fieldsmentioning

confidence: 99%

Inhomogeneous chiral condensates

Buballa

Carignano

2015

Progress in Particle and Nuclear Physics

241

258

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“…This has spurred the interest in strongly interacting matter at finite temperature, density and magnetic field, see for example ref. [5] for a recent review.…”

Section: Introductionmentioning

confidence: 99%

Chiral and deconfinement transitions in a magnetic background using the functional renormalization group with the Polyakov loop

Andersen

Naylor

Tranberg

2014

J. High Energ. Phys.

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We use the Polyakov loop coupled quark-meson model to approximate low energy QCD and present results for the chiral and deconfinement transitions in the presence of a constant magnetic background B at finite temperature T and baryon chemical potential µ B . We investigate effects of various gluonic potentials on the deconfinement transition with and without a fermionic backreaction at finite B. Additionally we investigate the effect of the Polyakov loop on the chiral phase transition, finding that magnetic catalysis at low µ B is present, but weakened by the Polyakov loop.

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“…The first order perturbation correction for one-gluon exchange potential(OGE, or color Coulomb interaction) in MF entering in (2.5) according to [64] is 1) where N c = 3, n f = 2, α (0) s = 0.42, QCD parameter Λ = 0.3 GeV, and the M 2 B = 2πσ = 1.1 GeV 2 preventing Landau singularity was calculated in [73]. Form (4.1) includes screening of the OGE potential by the quark-antiquark pairs created in MF.…”

Section: One-gluon Exchange In Mfmentioning

confidence: 99%

“…a recent review [1,2]. When MF is not ultra-intense (eB σ, where σ = 0.18 GeV 2 is a confinement string tension), 1 the main characteristics related to the behavior of hadrons in MF are magnetic moments and magnetic susceptibilities, while for the strong MF limit (eB ≥ σ) the hadron energy and width depend on MF directly.…”

Section: Introductionmentioning

confidence: 99%

“…On the theoretical side the main directions of research in this area are the lattice studies [20,21]- [31], [32]- [43], the chiral Lagrangians with MF [44]- [50,51], effective hadron Lagrangians [1,2,[52][53][54][55][56], [57]- [60], and recently developed path integral Hamiltonians (PIH) [62]- [68], and the chiral Lagrangian with quark degrees of freedom [69].…”

Section: Introductionmentioning

confidence: 99%

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The evolution of meson masses in a strong magnetic field

Андрейчиков

Kerbikov

Luschevskaya

et al. 2017

J. High Energ. Phys.

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Spectra of qq hadrons are investigated in the framework of the Hamiltonian obtained from the relativistic path integral in external homogeneous magnetic field. The spectra of all 12 spin-isospin s-wave states, generated by π and ρ mesons with different spin projections, are studied both analytically and numerically on the lattice as functions of (magnetic field) eB. Results are in agreement and demonstrate three types of behavior, with characteristic splittings predicted by the theory.

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Strongly Interacting Matter in Magnetic Fields: A Guide to This Volume

Cited by 329 publications

References 1 publication

Inhomogeneous chiral condensates

Inhomogeneous chiral condensates

Chiral and deconfinement transitions in a magnetic background using the functional renormalization group with the Polyakov loop

The evolution of meson masses in a strong magnetic field

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