Magnetism in Dense Quark Matter

Ferrer, Efrain J.; Incera, Vivian de la

doi:10.1007/978-3-642-37305-3_16

Cited by 43 publications

(40 citation statements)

References 128 publications

(253 reference statements)

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“…One was to ignore the generation of the condensate associated with the anomalous magnetic moment of the chiral pairs. Such a condensate has been found in the presence of a magnetic field for the homogeneous background [56] and even in the case of color superconductivity in a magnetic field [57][58][59]. There is no reason to expect it is not present also in the inhomogeneous case.…”

Section: Discussionmentioning

confidence: 99%

Crystalline chiral condensates as a component of compact stars

et al. 2015

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We investigate the influence of spatially inhomogeneous chiral symmetry-breaking condensates in a magnetic field background on the equation of state for compact stellar objects. After building a hybrid star composed of nuclear and quark matter using the Maxwell construction, we find, by solving the Tolman-Oppenheimer-Volkoff equations for stellar equilibrium, that our equation of state supports stars with masses around 2 M for values of the magnetic field that are in accordance with those inferred from magnetar data. The inclusion of a weak vector interaction term in the quark part allows one to reach 2 solar masses for relatively small central magnetic fields, making this composition a viable possibility for describing the internal degrees of freedom of this class of astrophysical objects.arXiv:1505.05094v2 [nucl-th]

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Section: Discussionmentioning

confidence: 99%

Crystalline chiral condensates as a component of compact stars

et al. 2015

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“…Precisely speaking, there are two schemes to define the pressure depending on how one changes the volume of the system [43]. The first scheme fixes the magnetic field density B and the pressure is spatially isotropic, while the second scheme fixes the total number of magnetic flux leading to the spatial anisotropy in pressure [44]. In this paper we consider pressure in the first scheme.…”

Section: Mesonic Partition Function At Finite Temperaturementioning

confidence: 99%

Mesons in strong magnetic fields: (I) General analyses

Hattori

Kojo

2016

Nuclear Physics A

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We study properties of neutral and charged mesons in strong magnetic fields |eB| Λ QCDwith Λ QCD being the QCD renormalization scale. Assuming long-range interactions, we examine magnetic-field dependences of various quantities such as the constituent quark mass, chiral condensate, meson spectra, and meson wavefunctions by analyzing the Schwinger-Dyson and Bethe-Salpeter equations. Based on the density of states obtained from these analyses, we extend the hadron resonance gas (HRG) model to investigate thermodynamics at large B. As B increases the meson energy behaves as a slowly growing function of the meson's transverse momenta, and thus a large number of meson states is accommodated in the low energy domain; the density of states at low temperature is proportional to B 2 . This extended transverse phase space in the infrared regime significantly enhances the HRG pressure at finite temperature, so that the system reaches the percolation or chiral restoration regime at lower temperature compared to the case without a magnetic field; this simple picture would offer a gauge invariant and intuitive explanation of the inverse magnetic catalysis.

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“…[1]), there is also a growing interest in the properties of QCD in strong external magnetic fields. They may appear in non-central heavy-ion collisions [2], inside magnetars [3] and in the evolution of the early universe [4]. It is important to note that external magnetic fields change the thermodynamic properties of QCD, as well as the spectrum and other zero temperature characteristics.…”

Section: Introductionmentioning

confidence: 99%

QCD spectroscopy and quark mass renormalisation in external magnetic fields with Wilson fermions

Brandt¹,

Bali²,

Endrődi³

et al. 2016

Proceedings of the 33rd International Symposium on Lattice Field Theory — PoS(LATTICE 2015)

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We study the change of the QCD spectrum of low-lying mesons in the presence of an external magnetic field using Wilson fermions in the quenched approximation. Motivated by qualitative differences observed in the spectra of overlap and Wilson fermions for large magnetic fields, we investigate the dependence of the additive quark mass renormalisation on the magnetic field. We provide evidence that the magnetic field changes the critical quark mass both in the free case and on our quenched ensemble. The associated change of the bare quark mass with the magnetic field affects the spectrum and is relevant for the magnetic field dependence of a number of related quantities. We derive Ward identities for lattice and continuum QCD+QED from which we can extract the current quark masses. We also report on a first test of the tuning of the quark masses with the magnetic field using the current quark masses, and show that this tuning resolves the qualitative discrepancy between the Wilson and overlap spectra.The 33rd International Symposium on Lattice Field Theory 14-18 July 2015 Kobe International Conference Center, Kobe, Japan * Acknowledgments: The simulations have been done on 'iDataCool' at the university of Regensburg. This work was supported by SFB/TRR-55. We would like to thank Kalman Szabo and Falk Bruckmann for useful discussions.† Speaker.

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Magnetism in Dense Quark Matter

Cited by 43 publications

References 128 publications

Crystalline chiral condensates as a component of compact stars

Crystalline chiral condensates as a component of compact stars

Mesons in strong magnetic fields: (I) General analyses

QCD spectroscopy and quark mass renormalisation in external magnetic fields with Wilson fermions

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