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A lagrangian for relativistic fluid systems with matters inside is developed using gauge principle. In the model, the gauge boson represents the fluid field in a form $A_\mu \equiv \epsilon_\mu \phi$, where $\epsilon_\mu$ contains the fluid…

Fluid Dynamics · Physics 2009-01-01 A. Sulaiman , T. P. Djun , L. T. Handoko

We first review the representations of the six-dimensional (2,0) superalgebra on a free tensor multiplet and on a free string. We then construct a supersymmetric Lagrangian describing a free tensor multiplet. (It also includes a decoupled…

High Energy Physics - Theory · Physics 2009-11-10 Par Arvidsson , Erik Flink , Mans Henningson

We derive the low-energy effective action governing the infrared dynamics of relativistic superfluids at finite temperature. We organize our derivation in an effective field theory fashion-purely in terms of infrared degrees of freedom and…

High Energy Physics - Theory · Physics 2011-09-20 Alberto Nicolis

We discuss a general definition of directional derivative of any tensor flow field and its practical applications in physics. It is shown that both Lagrangian and Eulerian descriptions as complementary types of flow field specifications…

Classical Physics · Physics 2007-05-23 R. Smirnov-Rueda

Perfect fluid spheres, both Newtonian and relativistic, have attracted considerable attention as the first step in developing realistic stellar models (or models for fluid planets). Whereas there have been some early hints on how one might…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Damien Martin , Matt Visser

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

Variational principle is the main approach to obtain complete and self-consistent field equations in gravitational theories. This method works well in pure field cases such as $f(R)$ and Horndeski gravities. However, debates exist in the…

General Relativity and Quantum Cosmology · Physics 2023-05-12 S. X. Tian , Zong-Hong Zhu

Field Theory on Event Symmetric space-time is constructed using the gauge group of discrete open strings. Models with invariant actions can be viewed as natural extensions of Matrix Models. The objective is to find a fundamental…

High Energy Physics - Theory · Physics 2007-05-23 P. E. Gibbs

The Hamiltonian structures of the incompressible ideal fluid, including entropy advection, and magnetohydrodynamics are investigated by making use of Dirac's theory of constrained Hamiltonian systems. A Dirac bracket for these systems is…

Plasma Physics · Physics 2015-06-03 Cristel Chandre , Philip J. Morrison , Emanuele Tassi

We establish a result concerning the so-called Lagrangian controllability of the Euler equation for incompressible perfect fluids in dimension 3. More precisely we consider a connected bounded domain of R^3 and two smooth contractible sets…

Analysis of PDEs · Mathematics 2011-08-26 Olivier Glass , Thierry Horsin

The exact solutions to quantum string and gauge field theories are discussed and their formulation in the framework of integrable systems is presented. In particular I consider in detail several examples of appearence of solutions to the…

High Energy Physics - Theory · Physics 2009-10-30 A. Marshakov

It is widely acknowledged that, for formal purposes, a minimally coupled scalar field is equivalent to an effective perfect fluid with equation of state determined by the scalar potential. This correspondence is not complete because the…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Valerio Faraoni

String Field Theory is a formulation of String Theory as a Quantum Field Theory in target space. It allows to tame the infrared divergences of String Theory and to approach its non-perturbative structure and background independence. This…

High Energy Physics - Theory · Physics 2024-05-14 Carlo Maccaferri

This paper considers magnetohydrodynamics (MHD) and some of its applications from the perspective of differential geometry, considering the dynamics of an ideal fluid flow and magnetic field on a general three-dimensional manifold, equipped…

Fluid Dynamics · Physics 2023-07-26 Andrew D. Gilbert , Jacques Vanneste

We derive the spin Euler equation for ideal flows by applying the spherical Clebsch mapping. This equation is based on the spin vector rather than the velocity. It enables a feasible Lagrangian study of fluid dynamics, as the isosurface of…

Fluid Dynamics · Physics 2024-04-25 Zhaoyuan Meng , Yue Yang

The constraints imposed by the relativistic compressibility hypothesis on the square of the speed of sound in a medium are obtained. This result allows to obtain purely hydrodynamic conditions for the physical reality of a perfect energy…

General Relativity and Quantum Cosmology · Physics 2020-04-01 Bartolomé Coll , Joan Josep Ferrando , Juan Antonio Sáez

We present a phenomenological Lagrangian and Poisson brackets for obtaining nondissipative hydrodynamic theory of supersolids. A Lagrangian is constructed on the basis of unification of the principles of non-equilibrium thermodynamics and…

Statistical Mechanics · Physics 2009-02-17 A. S. Peletminskii

We consider a class of conformal models describing closed strings in axially symmetric stationary magnetic flux tube backgrounds. These models are closed string analogs of the Landau model of a particle in a magnetic field or the model of…

High Energy Physics - Theory · Physics 2007-05-23 A. A. Tseytlin

The problem of incompressible fluid mixing arises in numerous engineering applications and has been well-studied over the years, yet many open questions remain. This paper aims to address the question "what do efficient flow fields for…

Systems and Control · Electrical Eng. & Systems 2025-08-15 Max Emerick , Bassam Bamieh

We investigate divergence-type theories (DTT) describing the dissipative interaction between a field and a fluid. We look for theories which, under equilibrium conditions, reduce to the theory of a Klein-Gordon scalar field and a perfect…

High Energy Physics - Phenomenology · Physics 2009-10-31 Esteban Calzetta , Marc Thibeault