Gravitational Anomaly and Hydrodynamics

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

doi:10.1088/1742-6596/343/1/012073

Cited by 27 publications

(28 citation statements)

References 37 publications

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“…Let us finally stress that the values of the anomalous conductivities at strong coupling coincide precisely with the ones obtained at weak coupling, and this a strong hint towards a non-renormalization theorem for the anomalous conductivities, see e.g. [28,27,32]. 4…”

Section: Conductivities Laboratory Rest Frame Landau Frame Eckart Framesupporting

confidence: 66%

Anomalous transport and massive gravity theories

Megías

2017

J. Phys.: Conf. Ser.

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We review the Kubo formulae relevant to study anomalous transport properties of relativistic fluids. We apply this formalism to perform a computation of the transport coefficients in a holographic massive gravity model including vorticity and external electromagnetic fields. We find an interesting phase in which the electric DC conductivity is negligible, while the anomalous conductivities turn out to be nonvanishing.

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Section: Conductivities Laboratory Rest Frame Landau Frame Eckart Framesupporting

confidence: 66%

Anomalous transport and massive gravity theories

Megías

2017

J. Phys.: Conf. Ser.

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“…This is not surprising since only a holographic gauge Chern-Simons term was included. Holographic modeling of the gravitational anomaly calls, however, also for inclusion of a mixed gauge-gravitational Chern-Simons term of the form A^R^R [10].…”

Section: Prl 107 021601 (2011) P H Y S I C a L R E V I E W L E T T Ementioning

confidence: 99%

Gravitational Anomaly and Transport Phenomena

Megías²,

2011

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Quantum anomalies give rise to new transport phenomena. In particular, a magnetic field can induce an anomalous current via the chiral magnetic effect and a vortex in the relativistic fluid can also induce a current via the chiral vortical effect. The related transport coefficients can be calculated via Kubo formulas. We evaluate the Kubo formula for the anomalous vortical conductivity at weak coupling and show that it receives contributions proportional to the gravitational anomaly coefficient. The gravitational anomaly gives rise to an anomalous vortical effect even for an uncharged fluid.

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“…This contribution to the classical action in supergravity generates mixed gauge-gravitional anomalies in the full quantum theory of the dual CFT, and has been studied in the context of holographic hydrodynamics [35].…”

Section: η0-glueball Couplingmentioning

confidence: 99%

Central production of η and η′ via double Pomeron exchange in the Sakai-Sugimoto model

et al. 2014

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We construct a string-inspired model for the central production of η and η mesons in protonproton collisions via double Pomeron exchange. Using general symmetry considerations, we construct a low-energy differential cross section for double glueball exchange in terms of some undetermined coupling constants and form factors. We extend this model to the Regge regime, replacing the glueball propagators with Pomeron trajectories, and modifying the interaction term by a factor derived from the 5-string scattering amplitude in flat space. We then fix the couplings which remain undetermined, using the Sakai-Sugimoto framework to model low-energy QCD. Finally, we generate a simulation of the scattering process at √ s = 29.1 GeV, where double Pomeron exchange should play a role (secondary to double Reggeon exchange). We focus on the dependence of the scattering cross section on θ34, the angle between the scattered protons in the transverse plane. The results exhibit a definite deviation from the pure sin 2 θ34 dependence that arises as a consequence of natural parity violation alone. The amount of deviation is primarily determined by couplings that come from the Chern-Simons action of the AdS/QCD supergravity dual, which is directly related to the QCD gravitational anomaly, and thus constitutes a universal part of any five-dimensional string/gravity dual theory of QCD. We argue that this makes the high energy central production of pseudoscalar mesons an interesting probe of AdS/QCD models.

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Gravitational Anomaly and Hydrodynamics

Cited by 27 publications

References 37 publications

Anomalous transport and massive gravity theories

Anomalous transport and massive gravity theories

Gravitational Anomaly and Transport Phenomena

Central production of η and η′ via double Pomeron exchange in the Sakai-Sugimoto model

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