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We present a comprehensive Eulerian (Hamiltonian) framework for relativistic fluid dynamics in curved spacetimes, with emphasis on Schwarzschild geometry. The key innovation lies in the consistent use of density and three-velocity fields,…

General Relativity and Quantum Cosmology · Physics 2025-07-23 Arpan Krishna Mitra , Subir Ghosh

We study a nearly critical superfluid system from two complementary approaches. Within the first approach, we formulate a Schwinger-Keldysh effective field theory (EFT) for the system when it is located slightly above the critical…

High Energy Physics - Theory · Physics 2024-06-05 Yanyan Bu , Hongfei Gao , Xin Gao , Zhiwei Li

In this paper we review recent progress on relativistic hydrodynamics in (2 + 1)-dimensions with an external magnetic field. We discuss the formalism allowing for momentum loss due to the explicit and spontaneous breaking of translation…

High Energy Physics - Theory · Physics 2022-09-26 Andrea Amoretti , Daniel K. Brattan

Starting with a brief introduction into the basics of relativistic fluid dynamics, I discuss our current knowledge of a relativistic theory of fluid dynamics in the presence of (mostly shear) viscosity. Derivations based on the generalized…

High Energy Physics - Phenomenology · Physics 2010-03-02 Paul Romatschke

In this paper I report a pedagogical derivation of the unconventional electronic hydrodynamics in graphene on the basis of the kinetic theory. While formally valid in the weak coupling limit, this approach allows one to derive the…

Mesoscale and Nanoscale Physics · Physics 2019-10-30 Boris N. Narozhny

We outline a universal Schwinger-Keldysh effective theory which describes macroscopic thermal fluctuations of a relativistic field theory. The basic ingredients of our construction are three: a doubling of degrees of freedom, an emergent…

High Energy Physics - Theory · Physics 2017-02-01 Felix M. Haehl , R. Loganayagam , Mukund Rangamani

Curvature expansion for the heat kernel trace and the one-loop effective action is built for the wave operator of the theory in the quasi-thermal setup of a nonvacuum quantum state. This setup implies a non-static and non-stationary…

High Energy Physics - Theory · Physics 2026-05-13 Andrei O. Barvinsky , Farahmand Hasanov , Nikita Kolganov

A gaussian distribution of binding energies, but conditioned to exploit generally available information on packing in liquids, provides a statistical-thermodynamic theory of liquid water that is structurally non-committal, molecularly…

Biological Physics · Physics 2007-05-23 J. K. Shah , D. Asthagiri , L. R. Pratt , M. E. Paulaitis

We conduct a numerical study of relativistic viscous fluid dynamics in the Density Frame for one-dimensional fluid flows. The Density Frame is a formulation of relativistic viscous hydrodynamics that is first-order in time, requires no…

We perform a detailed analysis of Galilean field theories, starting with free theories and then interacting theories. We consider non-relativistic versions of massless scalar and Dirac field theories before we go on to review our previous…

High Energy Physics - Theory · Physics 2018-05-23 Arjun Bagchi , Joydeep Chakrabortty , Aditya Mehra

Relativistic Riemannian superfluid hydrodynamics used in general relativity to investigate superfluids in pulsars is extended to non-Riemannian background spacetime endowed with Cartan torsion. From the Gross-Pitaeviskii (GP) it is shown…

General Relativity and Quantum Cosmology · Physics 2007-05-23 L. C. Garcia de Andrade

Motivated by the observation of the fractional quantum Hall effect in graphene, we consider the effective field theory of relativistic quantum Hall states. We find that, beside the Chern-Simons term, the effective action also contains a…

Mesoscale and Nanoscale Physics · Physics 2015-02-06 Siavash Golkar , Matthew M. Roberts , Dam Thanh Son

We present the derivation of hydrodynamical equations for a perfect fluid in General Relativity, within the 3+1 decomposition of spacetime framework, using only primitive variables. Primitive variables are opposed to conserved variables, as…

General Relativity and Quantum Cosmology · Physics 2023-04-17 Gaël Servignat , Jerome Novak , Isabel Cordero-Carrión

Using a generalization of the Madelung transformation, we derive the hydrodynamic representation of the Klein-Gordon-Einstein equations in the weak field limit. We consider a complex self-interacting scalar field with an arbitrary potential…

General Relativity and Quantum Cosmology · Physics 2015-12-01 Abril Suárez , Pierre-Henri Chavanis

We discuss recent developments in the hydrodynamic description of strongly coupled conformal field theories using the AdS/CFT correspondence. In particular, we review aspects of the fluid-gravity correspondence which provides a map between…

High Energy Physics - Theory · Physics 2009-11-09 Mukund Rangamani

Euler hydrodynamics of perfect fluids can be viewed as an effective bosonic field theory. In cases when the underlying microscopic system involves Dirac fermions, the quantum anomalies should be properly described. In 1+1 dimensions the…

High Energy Physics - Theory · Physics 2024-07-17 Alexander G. Abanov , Andrea Cappelli

In this paper I present a pedagogical derivation of continuity equations manifesting exact conservation laws in an interacting electronic system based on the nonequilibrium Keldysh technique. The purpose of this exercise is to lay the…

Strongly Correlated Electrons · Physics 2023-05-30 Narozhny B. N

We present an effective field theory approach to the topological response of Floquet systems with symmetry group $G$. This is achieved by introducing a background $G$ gauge field in the Schwinger-Keldysh formalism, which is suitable for far…

Strongly Correlated Electrons · Physics 2021-02-17 Paolo Glorioso , Andrey Gromov , Shinsei Ryu

Single component nonrelativistic dissipative fluids are treated independently of reference frames and flow-frames. First the basic fields and their balances, then the related thermodynamic relations and the entropy production are calculated…

Fluid Dynamics · Physics 2017-04-11 Péter Ván

The long-wavelength effective field theory of world-volume fluctuations of black D3-branes is shown to be a hydrodynamical system to leading order in a gradient expansion. We study the system on a fiducial `cutoff' surface: the fluctuating…

High Energy Physics - Theory · Physics 2022-03-07 Roberto Emparan , Veronika E Hubeny , Mukund Rangamani
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