Chiral dynamics in a magnetic field from the functional renormalization group

Kamikado, Kazuhiko; Kanazawa, Takuya

doi:10.1007/jhep03(2014)009

Cited by 77 publications

(69 citation statements)

References 108 publications

(211 reference statements)

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“…But these claims were later challenged by the results of Ref. [55] that used a functional renormalization group approach to demonstrate that the constituent quark mass increases with the magnetic field at all temperatures and concluded that despite a strong anisotropy in the meson propagation, their fluctuations do not lead to the inverse magnetic catalysis claimed in [54]. In view of this, we expect that a similar behavior to the one found in [55] should occur in the case of the inhomogeneous chiral condensate.…”

Section: Discussionmentioning

confidence: 83%

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: 83%

Crystalline chiral condensates as a component of compact stars

et al. 2015

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“…The qualitative behavior of the transition temperature for physical quark masses is in disagreement with model calculations using either the (Polyakov-loop extended) Nambu-Jona-Lasinio ((P)NJL) model or the (Polyakov-loop extended) quarkmeson model ((P)QM); in these models, the critical temperature is an increasing function of the magnetic field, see e.g. [10][11][12][13][14][15][16][17][18][19][20]. Possible resolutions to the disagreement have been suggested [21][22][23][24][25][26][27][28] and we will discuss these at the end of the paper.…”

Section: Introductionmentioning

confidence: 77%

“…In this case one sets the wave-function renormalization factors equal to one. 2 Going beyond the local-potential JHEP04(2014)187 approximation, one would have to solve a set of coupled equations for the wave-function renormalization factors as done in the recent paper by Kamikado and Kanazawa [19]. 3 Moreover, since the SU(2) A symmetry is broken by the magnetic field, as explained above, the effective potential is therefore a function of these two invariants.…”

Section: Jhep04(2014)187mentioning

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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“…When the magnetic field disappears, there is no more quark dimension reduction, the integration d 3 p/(4E 2 f − ω 2 ) ∼ dp becomes finite at ω = 2m q , and there is no more such a mass jump, see the upper panel of Fig.2. It is also necessary to point out that, in hadron models like chiral perturbation theory and linear sigma model where hadrons are taken as elementary particles, the mass of the Goldstone mode changes with temperature continuously [29,33].…”

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confidence: 99%

Effect of discrete quark momenta on the Goldstone mode in a magnetic field

Mao

Wang

2017

Phys. Rev. D

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The meson static properties are investigated in Pauli-Villars regularized Nambu-Jona-Lasinio model in strong magnetic field. The quark dimension reduction leads to not only the magnetic catalysis effect on chiral symmetry restoration but also a sudden jump of the mass of the Goldstone mode at the Mott transition temperature.PACS numbers: 75.30.Kz, 11.30.Qc, 21.65.Qr It is well known that, the quark dimension reduction in magnetic field leads to an increasing critical temperature of chiral restoration, namely the magnetic catalysis effect [1][2][3][4][5][6][7]. From the Goldstone theorem, the spontaneous breaking of a global symmetry implies the existence of Goldstone bosons. In two-flavor case, the neutral pion is identified as the Goldstone mode in the presence of a magnetic field. The pion properties such as its mass and decay constant play an important role in chiral dynamics [8,9]. For instance, the neutral mesons are potential for explaining the inverse magnetic catalysis [10,11] and delayed magnetic catalysis [12].The Nambu-Jona-Lasinio (NJL) model at quark level describes well the chiral symmetry breaking in vacuum and its restoration at finite temperature and baryon density [13][14][15][16][17]. In the model, mesons are treated as quantum fluctuations, and neutral mesons can be affected by the external magnetic field through their constituent quarks. The neutral mesons in magnetized NJL model are investigated in vacuum and at finite temperature by taking different methods like the assumption of four-momentum independent meson polarizations [14], magnetic field independent regularization scheme [18,19], and derivative expansion [20,21] and Φ-derivable approach [22]. In this paper, we focus on how the quark dimension reduction in magnetic field affects the neutral meson properties at finite temperature and density in the Pauli-Villars regularization scheme.The SU(2) NJL model is defined through the Lagrangian density [13][14][15][16][17] (1) where the covariant derivative D µ = ∂ µ − iQA µ couples quarks to the external magnetic field B = (0, 0, B) in z-direction, Q = diag(Q u , Q d ) = diag(2e/3, −e/3) and µ = diag(µ u , µ d ) = diag(µ B /3, µ B /3) are electric charge and quark chemical potential matrices in flavor space with µ B being baryon chemical potential, G is the coupling constant in scalar and pseudo-scalar channels, and m 0 is the current quark mass characterizing the explicit chiral symmetry breaking.Taking the Leung-Ritus-Wang method [23][24][25][26][27], the quark condensate ψ ψ or the dynamical quark mass m q = m 0 − G ψ ψ at mean field level is controlled by the gap equationwith J 1 = N c f,n α n |Q f B|/(2π) dp z /(2π)J 0 /(2E f ) and, where N c = 3 is the number of colors which is trivial in the NJL model, α n = 2 − δ n0 is the spin degeneracy, and E ± f = E f ± µ B /3 are the quark energies with E f = p 2 z + 2n|Q f B| + m 2 q . Note that, the quark three-momentum integration in vacuum is reduced to a summation over Landau energy levels plus a onedimensional momentum integration in ...

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Chiral dynamics in a magnetic field from the functional renormalization group

Cited by 77 publications

References 108 publications

Crystalline chiral condensates as a component of compact stars

Crystalline chiral condensates as a component of compact stars

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

Effect of discrete quark momenta on the Goldstone mode in a magnetic field

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