Chromomagnetic catalysis of color superconductivity

Zhukovsky, V. Ch.; Klimenko, K. G.; Khudyakov, V. V.; Эберт, Д.

doi:10.1134/1.1450282

Cited by 33 publications

(24 citation statements)

References 17 publications

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“…Ideas inspired by the magnetic catalysis were even extended to solid state systems such as high-temperature superconductors [183][184][185][186][187][188] and highly oriented pyrolitic graphite [189][190][191]. Finally, the generalization of magnetic catalysis was also made to non-Abelian chromomagnetic fields [192][193][194][195][196][197][198], where the dynamics is dimensionally reduced by one unit of space, D → D − 1.…”

Section: Magnetic Catalysismentioning

confidence: 97%

Quantum field theory in a magnetic field: From quantum chromodynamics to graphene and Dirac semimetals

2015

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a b s t r a c tA range of quantum field theoretical phenomena driven by external magnetic fields and their applications in relativistic systems and quasirelativistic condensed matter ones, such as graphene and Dirac/Weyl semimetals, are reviewed. We start by introducing the underlying physics of the magnetic catalysis. The dimensional reduction of the low-energy dynamics of relativistic fermions in an external magnetic field is explained and its role in catalyzing spontaneous symmetry breaking is emphasized. The general theoretical consideration is supplemented by the analysis of the magnetic catalysis in quantum electrodynamics, chromodynamics and quasirelativistic models relevant for condensed matter physics. By generalizing the ideas of the magnetic catalysis to the case of nonzero density and temperature, we argue that other interesting phenomena take place. The chiral magnetic and chiral separation effects are perhaps the most interesting among them. In addition to the general discussion of the physics underlying chiral magnetic and separation effects, we also review their possible phenomenological implications in heavy-ion collisions and compact stars. We also discuss the application of the magnetic catalysis ideas for the description of the quantum Hall effect in monolayer and bilayer graphene, and conclude that the generalized magnetic catalysis, including both the magnetic catalysis condensates and the quantum Hall ferromagnetic ones, lies at the basis of this phenomenon. We also consider how an external magnetic field affects the underlying physics in a class of three-dimensional quasirelativistic condensed matter systems, Dirac semimetals. While at sufficiently low temperatures and zero density of charge carriers, such semimetals are expected to reveal the regime of the magnetic catalysis, the regime of Weyl semimetals with chiral asymmetry is realized at nonzero density. Finally, we discuss the interplay between relativistic quantum field theories (including quantum electrodynamics and quantum chromodynamics) in a magnetic field and noncommutative field theories, which leads to a new type of the latter, nonlocal noncommutative field theories.

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Section: Magnetic Catalysismentioning

confidence: 97%

Quantum field theory in a magnetic field: From quantum chromodynamics to graphene and Dirac semimetals

2015

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“…The phenomenon of the magnetic catalysis was studied in gauge theories, in particular, in QED [8][9][10][11][12][13][14] and in QCD [15][16][17][18]. In Ref.…”

Section: Introductionmentioning

confidence: 99%

LargeNdynamics in QED in a magnetic field

2003

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The expression for the dynamical mass of fermions in QED in a magnetic field is obtained for a large number of the fermion flavor N in the framework of 1/N expansion. The existence of a threshold value N thr , dividing the theories with essentially different dynamics, is established. For the number of flavors N ≪ N thr , the dynamical mass is very sensitive to the value of the coupling constant α b , related to the magnetic scale µ = |eB|. For N of order N thr or larger, a dynamics similar to that in the Nambu-Jona-Lasinio model with cutoff of order |eB| and the dimensional coupling constant G ∼ 1/(N |eB|) takes place. In this case, the value of the dynamical mass is essentially α b independent (the dynamics with an infrared stable fixed point). The value of N thr separates a weak coupling dynamics (withα b ≡ N α b ≪ 1) from a strong coupling one (withα b > ∼ 1) and is of order 1/α b .

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“…The last is known as the Zeeman interaction, and it is proportional to electron magnetic moment μ B which is a free model parameter in our consideration. So at μ B = 0 the properties of the model were considered, e.g., in [9,13,15], where in particular it was established that an external perpendicular magnetic field B ⊥ induces spontaneous chiral symmetry breaking at G < G c , or it enhances chiral condensation at G > G c . (Such an ability of an external magnetic field is called the magnetic catalysis effect.)…”

Section: Discussionmentioning

confidence: 99%

“…at supercritical values of the bare coupling constant, G > G c . Recall, when the Zeeman interaction is not taken into account the chiral symmetry breaking, induced originally in this case by a rather strong coupling, is enhanced additionally by external magnetic field (see, e.g., in [9,13,15]). It means that dynamical mass of electrons is an increasing function vs B ⊥ throughout the interval 0 < B ⊥ < ∞ (in this case B does not influence the properties of the model).…”

Section: Icnfp 2014mentioning

confidence: 99%

Magnetic catalysis effect in the (2+1)-dimensional Gross–Neveu model with Zeeman interaction

Klimenko

Zhokhov

2015

EPJ Web of Conferences

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Abstract. Magnetic catalysis of the chiral symmetry breaking and other magnetic properties of the (2+1)-dimensional Gross-Neveu model are studied taking into account the Zeeman interaction of spin-1/2 quasi-particles (electrons) with tilted (with respect to a system plane) external magnetic field B = B ⊥ + B . The Zeeman interaction is proportional to magnetic moment μ B of electrons. For simplicity, temperature and chemical potential are equal to zero throughout the paper. We compare in the framework of the model the above mentioned phenomena both at μ B = 0 and μ B 0. It is shown that at μ B 0 the magnetic catalysis effect is drastically changed in comparison with the μ B = 0 case. Namely, at μ B 0 the chiral symmetry, being spontaneously broken by B at subcritical coupling constants, is always restored at | B| → ∞ (even at B = 0). Moreover, it is proved in this case that chiral symmetry can be restored simply by tilting B to a system plane, and in the region B ⊥ → 0 the de Haas -van Alphen oscillations of the magnetization are observed. At supercritical values of coupling constant we have found two chirally non-invariant phases which respond differently on the action of B. The first (at rather small values of | B|) is a diamagnetic phase, in which there is an enhancement of chiral condensate, whereas the second is a paramagnetic chirally broken phase. Numerical estimates show that phase transitions described in the paper can be achieved at low enough laboratory magnetic fields.

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Chromomagnetic catalysis of color superconductivity

Cited by 33 publications

References 17 publications

Quantum field theory in a magnetic field: From quantum chromodynamics to graphene and Dirac semimetals

Quantum field theory in a magnetic field: From quantum chromodynamics to graphene and Dirac semimetals

LargeNdynamics in QED in a magnetic field

Magnetic catalysis effect in the (2+1)-dimensional Gross–Neveu model with Zeeman interaction

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