2019
DOI: 10.1103/physrevd.99.085014
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Chiral kinetic theory in curved spacetime

Abstract: Many-body systems with chiral fermions exhibit anomalous transport phenomena originated from quantum anomalies. Based on quantum field theory, we derive the kinetic theory for chiral fermions interacting with an external electromagnetic field in a background curved geometry. The resultant framework is U(1) gauge invariant and local Lorentz and diffeomorphism covariant. It is particularly useful to study the gravitational or non-inertial effects for chiral fermions. As the first application, we study the chiral… Show more

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Cited by 112 publications
(148 citation statements)
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“…Obviously, to work out the momentum integrals both particle and antiparticle contributions should be taken into account. Although angular velocity dependence of the chiral current obtained in [27] differs from (15), the results regarding chiral vortical effect are consistent.…”
Section: Modified Kinetic Equation In Curved Spacetimesupporting
confidence: 54%
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“…Obviously, to work out the momentum integrals both particle and antiparticle contributions should be taken into account. Although angular velocity dependence of the chiral current obtained in [27] differs from (15), the results regarding chiral vortical effect are consistent.…”
Section: Modified Kinetic Equation In Curved Spacetimesupporting
confidence: 54%
“…Then the CKE in the absence of electromagnetic fields is obtained. The phase space measure and first time derivatives of phase space variables which we acquire, differ from the ones presented in [27]. In fact, CKT which we acquire is partially in accord with the one established in [16].…”
Section: Introductionsupporting
confidence: 49%
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“…So the average spin polarization is proportional to the so-called thermal vorticity (see definition in next section) if the thermal vorticity is small. Another theoretical approach is the Wigner function (WF) formalism [24][25][26][27][28][29][30], which has been revived [31][32][33][34][35][36][37][38][39] to study the chiral magnetic effect (CME) [40][41][42] (for reviews, see, e.g., Ref. [43][44][45][46]) and chiral vortical effect (CVE) [31,[47][48][49][50][51] for massless fermions.…”
Section: Introductionmentioning
confidence: 99%
“…The results of this analysis are consistent with the hypothesis that the spacetime around these supermassive objects is described by the Kerr geometry. Constraints on the capabilities of X-ray reflection spectroscopy to test the Kerr-nature of astrophysical black holes was considered in [130], via the analysis of two NuSTAR observations of Cygnus X-1 in the soft state. It turns out that the final measurement can strongly depend on the assumption of the intensity profile.…”
Section: Discussion and Final Remarksmentioning
confidence: 99%