Color neutral two-flavor superconducting phase of cold and dense quark matter in the presence of constant magnetic fields

Fayazbakhsh, Sh.; Sadooghi, N.

doi:10.1103/physrevd.82.045010

Cited by 78 publications

(99 citation statements)

References 62 publications

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“…This contrasts with the studies based on models with point-like interactions in Refs. [21][22][23], where the gaps are always isotropic.…”

Section: Discussionmentioning

confidence: 99%

“…This is in qualitative agreement with the findings in Refs. [21][22][23], where the models with short-range interactions were used. We also find that, because of the partial localization of quasiparticles in a strong magnetic field, the corresponding dynamics is essentially local and there is no directional dependence of the gap.…”

Section: Discussionmentioning

confidence: 99%

“…In order to simplify the explicit form of the quark propagators in the magnetic 2SC phase, it is convenient to introduce the following set of projectors onto the subspaces of quasiparticles with different values of rotated-charges [23]:…”

Section: Modelmentioning

confidence: 99%

“…The recent studies revealed many interesting qualitative features of the magnetic 2SC and CFL phases [21][22][23]. However, all such studies share a common shortcoming: they are performed in the framework of Nambu-Jona-Lasinio (NJL) models with contact interactions.…”

mentioning

confidence: 99%

“…Recently, the study of color superconductivity in the presence of magnetic fields attracted a lot of attention [21][22][23][24][25]. This interest is primarily driven by potential astrophysical applications, where magnetic fields play an important role.…”

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confidence: 99%

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Directional dependence of a color superconducting gap in two-flavor QCD in a magnetic field

Shovkovy

2012

Phys. Rev. D

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We study the effect of a magnetic field on the pairing dynamics in two-flavor color superconducting dense quark matter. The study is performed in the weakly coupled regime of QCD at asymptotically high density, using the framework of Schwinger-Dyson equation in the improved rainbow approximation. We show that the superconducting gap function develops a directional dependence in momentum space. Quasiparticles with momenta perpendicular to the direction of the magnetic field have the largest gaps, while quasiparticles with momenta parallel to the field have the smallest gaps. We argue that the directional dependence is a consequence of a long range interaction in QCD. The quantitative measure of the ellipticity of the gap function is determined by a dimensionless ratio, proportional to the square of the magnetic field and inversely proportional to the fourth power of the quark chemical potential. For magnetic fields in stars, B 10 18 G, the corresponding ratio is estimated to be less than about 10 −2 , justifying the use of the weak magnetic field limit in all stellar applications.

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“…This contrasts with the studies based on models with point-like interactions in Refs. [21][22][23], where the gaps are always isotropic.…”

Section: Discussionmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

Section: Modelmentioning

confidence: 99%

mentioning

confidence: 99%

mentioning

confidence: 99%

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Directional dependence of a color superconducting gap in two-flavor QCD in a magnetic field

Shovkovy

2012

Phys. Rev. D

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Magnetic Catalysis: A Review

Shovkovy

2013

Lecture Notes in Physics

167

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We give an overview of the magnetic catalysis phenomenon. In the framework of quantum field theory, magnetic catalysis is broadly defined as an enhancement of dynamical symmetry breaking by an external magnetic field. We start from a brief discussion of spontaneous symmetry breaking and the role of a magnetic field in its a dynamics. This is followed by a detailed presentation of the essential features of the phenomenon. In particular, we emphasize that the dimensional reduction plays a profound role in the pairing dynamics in a magnetic field. Using the general nature of underlying physics and its robustness with respect to interaction types and model content, we argue that magnetic catalysis is a universal and modelindependent phenomenon. In support of this claim, we show how magnetic catalysis is realized in various models with short-range and long-range interactions. We argue that the general nature of the phenomenon implies a wide range of potential applications: from certain types of solid state systems to models in cosmology, particle and nuclear physics. We finish the review with general remarks about magnetic catalysis and an outlook for future research.

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Chiral perturbation theory in a magnetic background — finite-temperature effects

Andersen

2012

J. High Energ. Phys.

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We consider chiral perturbation theory for SU (2) at finite temperature T in a constant magnetic background B. We compute the thermal mass of the pions and the pion decay constant to leading order in chiral perturbation theory in the presence of the magnetic field. The magnetic field gives rise to a splitting between M π 0 and M π ± as well as between F π 0 and F π ± . We also calculate the free energy and the quark condensate to next-to-leading order in chiral perturbation theory. Both the pion decay constants and the quark condensate are decreasing slower as a function of temperature as compared to the case with vanishing magnetic field. The latter result suggests that the critical temperature T c for the chiral transition is larger in the presence of a constant magnetic field. The increase of T c as a function of B is in agreement with most model calculations but in disagreement with recent lattice calculations.

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Color neutral two-flavor superconducting phase of cold and dense quark matter in the presence of constant magnetic fields

Cited by 78 publications

References 62 publications

Directional dependence of a color superconducting gap in two-flavor QCD in a magnetic field

Directional dependence of a color superconducting gap in two-flavor QCD in a magnetic field

Magnetic Catalysis: A Review

Chiral perturbation theory in a magnetic background — finite-temperature effects

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