Inverse magnetic catalysis in field theory and gauge-gravity duality

Preis, Florian; Rebhan, Anton; Schmitt, Andreas

doi:10.48550/arxiv.1208.0536

Cited by 28 publications

(46 citation statements)

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“…It has been found that the transition temperature decreases with increasing magnetic field up to √ eB ≃ 1GeV. Some theoretical explanations for this phenomenon (called inverse magnetic catalysis) have been proposed [20][21][22][23][24][25][26].…”

Section: Introductionmentioning

confidence: 99%

Collective modes and Kosterlitz-Thouless transition in a magnetic field in the planar Nambu–Jona-Lasinio model

Cao

Zhuang

2014

Phys. Rev. D

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It is known that a constant magnetic field is a strong catalyst of dynamical chiral symmetry breaking in 2+1 dimensions, leading to generating dynamical fermion mass even at weakest attraction. In this work we investigate the collective modes associated with the dynamical chiral symmetry breaking in a constant magnetic field in the (2+1)-dimensional Nambu-Jona-Lasinio model with continuous U(1) chiral symmetry. We introduce a self-consistent scheme to evaluate the propagators of the collective modes at the leading order in 1/N. The contributions from the vacuum and from the magnetic field are separated such that we can employ the wellestablished regularization scheme for the case of vanishing magnetic field. The same scheme can be applied to the study of the next-to-leading order correction in 1/N. We show that the sigma mode is always a lightly bound state with its mass being twice the dynamical fermion mass for arbitrary strength of the magnetic field. Since the dynamics of the collective modes is always 2+1 dimensional, the finite temperature transition should be of the Kosterlitz-Thouless (KT) type. We determine the KT transition temperature T KT as well as the mass melting temperature T * as a function of the magnetic field. It is found that the pseudogap domain T KT < T < T * is enlarged with increasing strength of the magnetic field. The influence of a chiral imbalance or axial chemical potential µ 5 is also studied. We find that even a constant axial chemical potential µ 5 can lead to inverse magnetic catalysis of the KT transition temperature in 2+1 dimensions. The inverse magnetic catalysis behavior is actually the de Haas-van Alphen oscillation induced by the interplay between the magnetic field and the Fermi surface.

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Section: Introductionmentioning

confidence: 99%

Collective modes and Kosterlitz-Thouless transition in a magnetic field in the planar Nambu–Jona-Lasinio model

Cao

Zhuang

2014

Phys. Rev. D

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“…Because of the notorious sign problem, there is not yet precise result from lattice simulations. At zero temperature, the critical baryon chemical potential is argued to show a non-monotonous dependence on the magnetic field, and the MC effect is dominant only at sufficiently strong magnetic field, see review [9] and the references therein.…”

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confidence: 99%

“…[27] and focus on the DMC effect at finite temperature and baryon chemical potential. In NJL models, at finite temperature, the MC is described at mean field level [8][9][10][11], and the IMC can be realized by including meson contribution to the quark self-energy [12,27]. Since the DMC is predicted at extremely strong magnetic field, a convincing study in a non-renormalizable model with contact interactions depends strongly on the regularization scheme.…”

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confidence: 99%

“…Therefore, for the discussion of DMC which is expected to happen at eB > 50 m 2 π , we can safely neglect the contribution of charged pions and σ to the thermodynamics of the system in the chiral breaking phase, and take into account the Goldstone mode π 0 only. The magnetic field effect at mean field level is controlled by the gap equation with a constant coupling G, which leads to the MC effect on quarks and the strength of MC effect is monotonously enhanced with increasing magnetic field [8][9][10][11]. Including meson contribution which is reflected in the medium dependent coupling G ′ (T, µ B , B), the meson dressed quark mass is determined by the new gap equation( 5), with parameters T, µ B , B, G ′ .…”

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confidence: 99%

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From inverse to delayed magnetic catalysis in a strong magnetic field

Mao

2016

Phys. Rev. D

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We study magnetic field effect on chiral phase transition in a Nambu-Jona-Lasinio model. In comparison with mean field approximation containing quarks only, including mesons as quantum fluctuations in the model leads to a transition from inverse to delayed magnetic catalysis at finite temperature and delays the transition at finite baryon chemical potential. The location of the critical end point depends on the the magnetic field non-monotonously.PACS numbers: 21.65. Qr, 25.27.Nq, 75.30.Kz, 11.30.Rd The research on Quantum Chromodynamics (QCD) phase structure at finite temperature is recently extended to including external magnetic field, due to its close relation to high energy nuclear collisions and cosmological phase transitions. From lattice simulations of QCD at magnetic field eB < 1 GeV 2 ∼ 55 m 2 π [1-4], while the chiral condensate is enhanced at low temperature which is called magnetic catalysis (MC), it is reduced at high temperature which leads to a decreasing critical temperature of chiral phase transition, named as inverse magnetic catalysis (IMC). Many scenarios are proposed to understand the MC and IMC effects. A straightforward question is how the chiral condensate behaves when the magnetic field increases further? Different hypotheses are recently introduced to study the chiral phase transition at extremely strong magnetic field. In some calculations the critical temperature turns around and increases when the magnetic field is sufficiently strong [15,[22][23][24]28], which is named as delayed magnetic catalysis (DMC) [23]. However, it is also argued that the critical temperature will keep decreasing [12,16,29] which is supported by recent lattice simulation [30] where the IMC effect prevails up to eB = 3.25 GeV 2 ∼ 180 m 2 π . The magnetic field effect on QCD phase transitions at finite baryon chemical potential plays an important role in understanding the inner structure of compact stars. Because of the notorious sign problem, there is not yet precise result from lattice simulations. At zero temperature, the critical baryon chemical potential is argued to show a non-monotonous dependence on the magnetic field, and the MC effect is dominant only at sufficiently strong magnetic field, see review [9] and the references therein.In this paper, we investigate the magnetic field effect on chiral phase transition in a Nambu-Jona-Lasinio model (NJL) beyond mean field approximation. We follow the theoretical framework developed in Ref. [27] and focus on the DMC effect at finite temperature and baryon chemical potential. In NJL models, at finite temperature, the MC is described at mean field level [8][9][10][11], and the IMC can be realized by including meson contribution to the quark self-energy [12,27]. Since the DMC is predicted at extremely strong magnetic field, a convincing study in a non-renormalizable model with contact interactions depends strongly on the regularization scheme. We will take a covariant Pauli-Villars regularization which formally allows us to do momentum integrations in the w...

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“…eB ≈ m 2 π and hence it can cause noticeable influence on the deconfined medium of quarks and gluons known as quark gluon plasma (QGP). This has motivated a large number of investigations on the properties of hot and dense QCD matter in presence of background magnetic field in recent times involving several novel and interesting phenomena, such as, Chiral Magnetic Effect (CME) [2,[4][5][6], Magnetic Catalysis (MC) [7][8][9][10][11] and Inverse Magnetic Catalysis (IMC) [12,13] of dynamical chiral symmetry breaking which may cause significant change in the nature of electro-weak [14][15][16][17], chiral and superconducting phase transitions [18][19][20][21], electromagnetically induced superconductivity and superfluidity [22,23] and many more. Besides heavy ion collisions, such magnetic fields of the order of ∼ 10 15 Gauss can also be realized on the surface of certain compact stars called magnetars, while in the interior it is estimated to reach magnitudes of the order of ∼ 10 18 Gauss [24][25][26].…”

Section: Introductionmentioning

confidence: 99%

Medium effects on the electrical and Hall conductivities of a hot and magnetized pion gas

Kalikotay,

Ghosh,

Chaudhuri

et al. 2020

Preprint

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The electrical and Hall conductivities in uniform magnetic field have been evaluated for an interacting pion gas using the kinetic theory approach within the ambit of relaxation time approximation (RTA). The in-medium cross sections vis a vis the relaxation time for ππ scattering were obtained using one-loop modified thermal propagator for the exchanged ρ and σ mesons using thermal field theoretic techniques. For higher values of the magnetic field a monotonical increase of the electrical conductivity with temperature was observed. However, for a given temperature the conductivity is found to decrease steadily with magnetic field. The Hall conductivity, at lower values of the magnetic field, was found to decrease with temperature more rapidly than the electrical conductivity, whereas at higher values of magnetic field, a linear increase was seen. Use of the in-medium scattering cross-section was found to produce a significant effect on the temperature dependence of both electrical and Hall conductivities compared to the case where vacuum cross-section was used.

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Inverse magnetic catalysis in field theory and gauge-gravity duality

Cited by 28 publications

References 0 publications

Collective modes and Kosterlitz-Thouless transition in a magnetic field in the planar Nambu–Jona-Lasinio model

Collective modes and Kosterlitz-Thouless transition in a magnetic field in the planar Nambu–Jona-Lasinio model

From inverse to delayed magnetic catalysis in a strong magnetic field

Medium effects on the electrical and Hall conductivities of a hot and magnetized pion gas

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