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Relativistic hydrodynamics for ideal and viscous fluids is discussed as a tool to describe relativistic heavy-ion collisions and to extract transport properties of the quark-gluon plasma from experimentally measured hadron momentum spectra.

Nuclear Theory · Physics 2015-05-13 Ulrich W. Heinz

Using a four-dimensional manifestly covariant formalism suitable for classical fluid dynamics, it is shown that the conservation of potential vorticity is not associated with any symmetry of the equations of motion but is instead a trivial…

Fluid Dynamics · Physics 2018-03-12 Martin Charron , Ayrton Zadra

We present algorithms to solve relativistic hydrodynamics in 3+1--dimensional situations without apparent symmetry to simplify the solution. In simulations of heavy--ion collisions, these numerical schemes have to deal with the physical…

Nuclear Theory · Physics 2009-10-28 Dirk H. Rischke , Stefan Bernard , Joachim A. Maruhn

In this paper, we have studied two coupled relativistic superfluids with spontaneous U(1) symmetry breaking, using Poisson bracket technique. After constructing the commutators between thermo-quantities and field quantities, the equations…

High Energy Physics - Phenomenology · Physics 2008-11-26 Sun Zhang

Spin liquids are conventionally described by gauge theories with a vector gauge field. However, there exists a wider class of spin liquids with higher rank tensors as the gauge variable. In this work, we focus on (3+1)-dimensional spin…

Strongly Correlated Electrons · Physics 2017-03-29 Michael Pretko

We are concerned with underlying connections between fluids, elasticity, isometric embedding of Riemannian manifolds, and the existence of wrinkled solutions of the associated nonlinear partial differential equations. In this paper, we…

Analysis of PDEs · Mathematics 2017-08-29 Amit Acharya , Gui-Qiang Chen , Siran Li , Marshall Slemrod , Dehua Wang

In extending the minimal standard model of quarks and leptons to include supersymmetry, the conservation of baryon and lepton numbers is no longer automatic. I show how the latter may be achieved with a new U(1) gauge symmetry and new…

High Energy Physics - Phenomenology · Physics 2009-11-07 Ernest Ma

The principle of S-duality is used to incorporate gaugino condensates into effective supergravity (superstring) Lagrangians. We discuss two implementations of S-duality which differ in the way the coupling constant is transformed. Both…

High Energy Physics - Theory · Physics 2009-10-28 Z. Lalak , A. Niemeyer , H. P. Nilles

In this work we extend our previously developed formalism of Newtonian multi-fluid hydrodynamics to allow for coupling between the fluids and the electromagnetic and gravitational field. This is achieved within the convective variational…

Fluid Dynamics · Physics 2009-11-11 Reinhard Prix

Carroll hydrodynamics arises in the $c\to 0$ limit of relativistic hydrodynamics. Instances of its relevance include the Bjorken and Gubser flow models of heavy-ion collisions, where the ultrarelativistic nature of the flow makes the…

High Energy Physics - Theory · Physics 2026-01-13 Kedar S. Kolekar , Taniya Mandal , Ashish Shukla , Pushkar Soni

In this review article we consider a special case of $D=5$, $\mathcal{N}=2$ supergravity called the STU model. We apply the gauge/gravity correspondence to the STU model to gain insight into properties of the quark-gluon plasma. Given that…

High Energy Physics - Theory · Physics 2015-02-10 B. Pourhassan , J. Sadeghi

We provide a statistical mechanical derivation of relativistic magnetohydrodynamics on the basis of the $(3+1)$-dimensional quantum electrodynamics; the system endowed with the magnetic one-form symmetry. The conservation laws and the…

High Energy Physics - Theory · Physics 2022-01-19 Masaru Hongo , Koichi Hattori

A constraint correlation dynamics up to 4-point Green functions is proposed for SU(N) gauge theories which reduces the N-body quantum field problem to the two-body level. The resulting set of nonlinear coupled equations fulfills all…

Nuclear Theory · Physics 2015-06-26 S. J. Wang , W. Cassing , J. M. Haeuser , A. Peter , M. H. Thoma

In this study, we demonstrate that an inviscid fluid in a near-equilibrium state, when viewed in the Lagrangian picture in d+1 spacetime dimensions, can be reformulated as a (d-1)-form gauge theory. We construct a fluid/p-form dictionary…

High Energy Physics - Theory · Physics 2023-11-16 V. Taghiloo , M. H. Vahidinia

We first construct a consistent Kaluza-Klein reduction ansatz for type IIB theory compactified on Sasaki-Einstein manifolds Y^{p,q} with Freund-Rubin 5-form flux giving rise to minimal N=2 gauged supergravity in five dimensions. We then…

High Energy Physics - Theory · Physics 2008-11-26 Alex Buchel , James T. Liu

Superstring theory is one current, promising attempt at unifying gravity with the other three known forces: the electromagnetic force, and the weak and strong nuclear forces. Though this is still a work in progress, much effort has been put…

High Energy Physics - Theory · Physics 2015-03-17 Kory Stiffler

In this work, we consider different forms of relativistic perfect fluid Lagrangian densities, that yield the same gravitational field equations in General Relativity. A particularly intriguing example is the case with couplings of the form…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Orfeu Bertolami , Francisco S. N. Lobo , Jorge Páramos

Viscous electron flow exhibits exotic signatures such as superballistic conduction. In order to observe hydrodynamics effects, a 2D device where the current flow is as inhomogeneous as possible is desirable. To this end, we build three…

We show that, for two-dimensional space-periodic incompressible flow, the solution can be evaluated numerically in Lagrangian coordinates with the same accuracy achieved in standard Eulerian spectral methods. This allows the determination…

Chaotic Dynamics · Physics 2009-11-13 T. Matsumoto , J. Bec , U. Frisch

Hydrodynamics is applied to describe the dynamics of relativistic heavy-ion collisions. The focus of the present study is the influence of a possible (phase) transition to the quark-gluon plasma in the nuclear matter equation of state on…

Nuclear Theory · Physics 2009-10-30 Dirk H. Rischke
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