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Planar black holes in AdS have long-lived quasinormal modes which capture the physics of charge and momentum diffusion in the dual field theory. How should we characterize the effective dynamics of a probe system coupled to the conserved…

High Energy Physics - Theory · Physics 2021-06-02 Jewel K. Ghosh , R. Loganayagam , Siddharth G. Prabhu , Mukund Rangamani , Akhil Sivakumar , V. Vishal

We propose a Schr\"odinger equation of arbitrary order for modeling charge transport in semiconductors operating in the ballistic regime. This formulation incorporates non-parabolic effects through the Kane dispersion relation, thereby…

Mathematical Physics · Physics 2026-03-31 Giulia Elena Aliffi , Giovanni Nastasi , Vittorio Romano

We study Schwinger-Keldysh effective field theories (EFTs) for systems with non-Abelian internal symmetries near thermal equilibrium. We consider two approaches that were put forward in the literature -- one using a redundant Goldstone…

High Energy Physics - Theory · Physics 2026-05-19 Eren Firat , Andrew Gomes , Filippo Nardi , Riccardo Penco , Riccardo Rattazzi

A fourth-order Schr\"{o}dinger equation for the description of charge transport in semiconductors in the ballistic regime is proposed with the inclusion of non-parabolic effects in the dispersion relation in order to go beyond the simple…

Mathematical Physics · Physics 2025-07-15 Giulia Elena Aliffi , Giovanni Nastasi , Vittorio Romano

We study the nearly critical behaviour of holographic superfluids at finite temperature and chemical potential. Using analytic techniques in the bulk, we derive an effective theory for the long wavelength dynamics of gapless and…

High Energy Physics - Theory · Physics 2026-02-25 Aristomenis Donos , Polydoros Kailidis

Under holographic prescription for Schwinger-Keldysh closed time contour for non-equilibrium system, we consider fluctuation effect of the order parameter in a holographic superconductor model. Near the critical point, we derive the…

High Energy Physics - Theory · Physics 2021-11-29 Yanyan Bu , Mitsutoshi Fujita , Shu Lin

Hydrodynamic projections, the projection onto conserved charges representing ballistic propagation of fluid waves, give exact transport results in many-body systems, such as the exact Drude weights. Focussing one one-dimensional systems, I…

Statistical Mechanics · Physics 2022-02-17 Benjamin Doyon

We classify all possible allowed constitutive relations of relativistic fluids in a statistical mechanical limit using the Schwinger-Keldysh effective action for hydrodynamics. We find that microscopic unitarity enforces genuinely new…

High Energy Physics - Theory · Physics 2018-11-28 Kristan Jensen , Raja Marjieh , Natalia Pinzani-Fokeeva , Amos Yarom

We provide a holographic prescription to compute real-time thermal correlators with arbitrary operator ordering. In field theory, these correlation functions are captured by a multi-fold Schwinger-Keldysh time contour. We propose a…

High Energy Physics - Theory · Physics 2025-10-07 Martin Ammon , Jette Germerodt , Christoph Sieling , Julio Virrueta

We investigate the impact of hydrodynamic fluctuations on correlation functions in a scale invariant fluid with a conserved $U(1)$ charge. The kinetic equations for the two-point functions of pressure, momentum and heat energy densities are…

High Energy Physics - Theory · Physics 2019-07-09 M. Martinez , Thomas Schaefer

We argue that an effective field theory of local fluid elements captures the constraints on hydrodynamic transport stemming from the presence of quantum anomalies in the underlying microscopic theory. Focussing on global current anomalies…

High Energy Physics - Theory · Physics 2015-06-18 Felix M. Haehl , R. Loganayagam , Mukund Rangamani

We consider the hydrodynamics of strongly interacting quark gluon plasma in finite temperature and density using the holographic duality of charged black hole in anti DeSitter space. We calculate the transport coefficients at arbitrary…

High Energy Physics - Theory · Physics 2012-07-11 Yoshinori Matsuo , Sang-Jin Sin , Yang Zhou

We present the full charge and energy diffusion constants for the Einstein-Maxwell dilaton (EMD) action for Lifshitz spacetime characterized by a dynamical critical exponent $z$. Therein we compute the fully renormalized static…

High Energy Physics - Theory · Physics 2021-01-27 Brandon W. Langley , Philip W. Phillips

We establish the connection between thermodynamic and dynamical instabilities in relativistic hydrodynamics with multiple flavours of conserved U(1) charges. In theories with positive hydrodynamic entropy production, where the underlying…

High Energy Physics - Theory · Physics 2025-09-24 Liam Gladden , Victor Ivo , Pavel K. Kovtun , Andrei O. Starinets

A stochastic approach for charge transport in diodes is developed in consistency with the laws of electricity, thermodynamics, and microreversibility. In this approach, the electron and hole densities are ruled by diffusion-reaction…

Statistical Mechanics · Physics 2018-06-06 Jiayin Gu , Pierre Gaspard

In the previous paper we studied the transport coefficients of Quark-Gluon Plasma in finite temperature and finite density in vector and tensor modes. In this paper, we extend it to the scalar modes. We work out the decoupling problem and…

High Energy Physics - Theory · Physics 2009-08-03 Yoshinori Matsuo , Sang-Jin Sin , Shingo Takeuchi , Takuya Tsukioka , Chul-Moon Yoo

The effective action for the charge density and the photon field is proposed as a generalization of the density functional. A simple definition is given for the density functional, as the functional Legendre transform of the generator…

Strongly Correlated Electrons · Physics 2009-11-07 J. Polonyi , K. Sailer

We present the effective theory of fluids at next-to-leading order in derivatives, including an operator that has not been considered until now. The power-counting scheme and its connection with the propagation of phonon and metric…

High Energy Physics - Theory · Physics 2015-06-23 Guillermo Ballesteros

We show that at any temperature, the low-energy (with respect to the chemical potential) collective excitations of the transverse components of the energy-momentum tensor and the global U(1) current in the field theory dual to the planar…

High Energy Physics - Theory · Physics 2013-07-11 Richard A. Davison , Andrei Parnachev

We extend the recent work on fluid-gravity correspondence to charged black-branes by determining the metric duals to arbitrary charged fluid configuration up to second order in the boundary derivative expansion. We also derive the…

High Energy Physics - Theory · Physics 2011-08-23 Nabamita Banerjee , Jyotirmoy Bhattacharya , Sayantani Bhattacharyya , Suvankar Dutta , R. Loganayagam , P. Surówka