Holographic gravitational anomaly and chiral vortical effect

Landsteiner, Karl; Megías, Eugenio; Melgar, Luis; Peña-Benítez, Francisco

doi:10.1007/jhep09(2011)121

Cited by 224 publications

(313 citation statements)

References 125 publications

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“…Computations carried out in the framework of the AdS/CFT correspondence for four dimensional theories give similar results [38]. Recently, these computations have been extended to arbitrary dimension [39].…”

Section: Jhep05(2014)110mentioning

confidence: 62%

Chern-Simons terms from thermal circles and anomalies

Jensen

Loganayagam

Yarom

2014

J. High Energ. Phys.

172

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Abstract:We compute the full contribution of flavor and (or) Lorentz anomalies to the thermodynamic partition function. Apart from the Wess-Zumino consistency condition the Euclidean generating function must satisfy an extra requirement which we refer to as 'consistency with the Euclidean vacuum'. The latter requirement fixes all Chern-Simons terms that arise in a particular Kaluza-Klein reduction of the theory. The solution to both conditions may be encoded in a 'thermal anomaly polynomial' which we compute. Our construction fixes all the thermodynamic response parameters of a hydrodynamic theory associated with anomalies.

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Section: Jhep05(2014)110mentioning

confidence: 62%

Chern-Simons terms from thermal circles and anomalies

Jensen

Loganayagam

Yarom

2014

J. High Energ. Phys.

172

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“…If, following ref. [26], we add a single chiral fermion transforming under U(1) L to JHEP10(2015)018 the holographic theory, we then have…”

Section: Contributions To the Drag Force Arising From The Gravitationmentioning

confidence: 99%

Chiral drag force

Rajagopal

Sadofyev

2015

J. High Energ. Phys.

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Abstract:We provide a holographic evaluation of novel contributions to the drag force acting on a heavy quark moving through strongly interacting plasma. The new contributions are chiral in the sense that they act in opposite directions in plasmas containing an excess of left-or right-handed quarks. The new contributions are proportional to the coefficient of the axial anomaly, and in this sense also are chiral. These new contributions to the drag force act either parallel to or antiparallel to an external magnetic field or to the vorticity of the fluid plasma. In all these respects, these contributions to the drag force felt by a heavy quark are analogous to the chiral magnetic effect (CME) on light quarks. However, the new contribution to the drag force is independent of the electric charge of the heavy quark and is the same for heavy quarks and antiquarks, meaning that these novel effects do not in fact contribute to the CME current. We show that although the chiral drag force can be non-vanishing for heavy quarks that are at rest in the local fluid rest frame, it does vanish for heavy quarks that are at rest in a suitably chosen frame. In this frame, the heavy quark at rest sees counterpropagating momentum and charge currents, both proportional to the axial anomaly coefficient, but feels no drag force. This provides strong concrete evidence for the absence of dissipation in chiral transport, something that has been predicted previously via consideration of symmetries. Along the way to our principal results, we provide a general calculation of the corrections to the drag force due to the presence of gradients in the flowing fluid in the presence of a nonzero chemical potential. We close with a consequence of our result that is at least in principle observable in heavy ion collisions, namely an anticorrelation between the direction of the CME current for light quarks in a given event and the direction of the kick given to the momentum of all the heavy quarks and antiquarks in that event.

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“…While initially only pure gauge anomalies were considered to be relevant at first order, recent findings show that mixed gauge-gravitational anomalies contribute also in this case. This was first observed from Kubo formulae [5,6], and later confirmed by other methods, including fluid/gravity [7,8] and partition function formalism [9]. At second order a plethora of dissipative and non-dissipative conductivities including both anomalies have been studied [8,[10][11][12][13].…”

Section: Introductionmentioning

confidence: 78%