Nonlinear chiral transport phenomena

Chen, Jiunn-Wei; Ishii, Takeaki; Pu, Shi; Yamamoto, Naoki

doi:10.1103/physrevd.93.125023

Cited by 46 publications

(52 citation statements)

References 31 publications

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“…This will bring into the picture additional effects such as thermoelectric conductivities, normal Hall current, the chiral vortical effect [72,73], and some nonlinear effects discussed in [47]. We plan to address these in the future.…”

Section: One Can Obviously Question the Validity Of The Results Beyonmentioning

confidence: 97%

“…This behaviour ofσχ is quite distinct from diffusion memory functionD(t) and shear viscosity memory functions computed previously in [7,13], which are picked at the origin. [47,48,58].σ aχH could be considered as an axial analogue of σ aχH . However, as will be clear later,σ aχH has an overall factor q 2 so that it will be non-vanishing starting from fourth order in the gradient expansion only.…”

Section: Summary Of the Resultsmentioning

confidence: 99%

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Gradient resummation for nonlinear chiral transport: an insight from holography

Demircik

Lublinsky

2019

Eur. Phys. J. C

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Nonlinear transport phenomena induced by chiral anomaly are explored within a 4D field theory defined holographically as U (1) V ×U (1) A Maxwell-Chern-Simons theory in Schwarzschild-AdS 5 . In presence of weak constant background electromagnetic fields, the constitutive relations for vector and axial currents, resummed to all orders in the gradients of charge densities, are encoded in nine momenta-dependent transport coefficient functions (TCFs). These TCFs are first calculated analytically up to third order in gradient expansion, and then evaluated numerically beyond the hydrodynamic limit. Fourier transformed, the TCFs become memory functions. The memory function of the chiral magnetic effect (CME) is found to differ dramatically from the instantaneous response form of the original CME. Beyond hydrodynamic limit and when external magnetic field is larger than some critical value, the chiral magnetic wave (CMW) is discovered to possess a discrete spectrum of non-dissipative modes.

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Section: One Can Obviously Question the Validity Of The Results Beyonmentioning

confidence: 97%

Section: Summary Of the Resultsmentioning

confidence: 99%

Gradient resummation for nonlinear chiral transport: an insight from holography

Demircik

Lublinsky

2019

Eur. Phys. J. C

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“…is the magnetization current [14,17,33,34]. By making use of (27) and (28), one can show that the 4-divergence of the 4-current (n, j) yields the continuity equation with source:…”

Section: D Ckt In the Presence Of Electromagnetic Fieldsmentioning

confidence: 99%

Some features of semiclassical chiral transport in rotating frames

Dayi

Kilinçarslan

2019

Phys. Rev. D

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Semiclassical chiral kinetic theories in the presence of electromagnetic fields as well as vorticity can be constructed by means of some different relativistic or nonrelativistic approaches. To cover the noninertial features of rotating frames one can start from the modified quantum kinetic equation of Wigner function in Minkowski spacetime. It provides a relativistic chiral transport equation whose nonrelativistic limit yields a consistent three-dimensional kinetic theory which does not depend explicitly on spatial coordinates. Recently a chiral transport equation in curved spacetime has been proposed and its nonrelativistic limit in rotating coordinates was considered in the absence of electromagnetic fields. We show that the modified theory can be extended to curved spacetime. The related particle current density and chiral transport equation for an inertial observer in the rotating frame are derived. A novel three-dimensional chiral kinetic transport equation is established by inspecting the nonrelativistic limit of the curved spacetime approach in the rotating frame for a comoving observer in the presence of electromagnetic fields. It explicitly depends on spatial coordinates. We prove that it is consistent with the chiral anomaly, chiral magnetic and vortical effects.

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“…The global fits of the pion PDFs to the experimental In theory, it is not simple to predict the distribution of the valence content, since the pion is not only formed as a quark-antiquark system but also as one of the Glodstone bosons in the chiral symmetry breaking of SU (3) flavor. However there are lots of progresses from the Dyson-Schwinger equations (DSE) [12][13][14][15][16], the NJL model [17][18][19], light-front holographic QCD (LFHQCD) [20], Lattice QCD [21], chiral quark model [22][23][24][25][26], constituent quark model [27,28] and QCD sum rule [29], etc. Beyond the quark distribution functions, the parton distribution amplitude and the generalized parton distributions of pion are studied [30][31][32][33][34][35].…”

Section: Introductionmentioning

confidence: 99%

Pion valence quark distributions from maximum entropy method

et al. 2020

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Valence quark distributions of pion at very low resolution scale Q 2 0 ∼ 0.1 GeV 2 are deduced from a maximum entropy method, under the assumption that pion consists of only a valence quark and a valence anti-quark at such a low scale. Taking the obtained initial quark distributions as the nonperturbative input in the modified Dokshitzer-Gribov-Lipatov-Altarelli-Parisi (with the GLR-MQ-ZRS corrections) evolution, the generated valence quark distribution functions at high Q 2 are consistent with the measured ones from a Drell-Yan experiment. The maximum entropy method is also applied to estimate the valence quark distributions at relatively higher Q 2 = 0.26 GeV 2 . At this higher scale, other components (sea quarks and gluons) should be considered in order to match the experimental data. The first three moments of pion quark distributions at high Q 2 are calculated and compared with the other theoretical predictions.data are performed by several groups, using the nextto-leading-order QCD analysis [8], using the constituent quark model parametrization [9,10], and using the modified DGLAP equations [11].

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Nonlinear chiral transport phenomena

Cited by 46 publications

References 31 publications

Gradient resummation for nonlinear chiral transport: an insight from holography

Gradient resummation for nonlinear chiral transport: an insight from holography

Some features of semiclassical chiral transport in rotating frames

Pion valence quark distributions from maximum entropy method

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