Lagrangian formulation of relativistic Israel-Stewart hydrodynamics

Montenegro, David; Torrieri, Giorgio

doi:10.1103/physrevd.94.065042

Cited by 30 publications

(46 citation statements)

References 51 publications

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“…We conclude by discussing how the coefficients in an effective theory (e.g. the function R(µ) in (49), or more specifically the precise value of the scale M = 1/L) can in principle be computed from a microscopic description. In theories of conventional hydrodynamics, this is done through Kubo formulas that relate hydrodynamic transport coefficients to two-point correlation functions of the conserved currents in thermal equilibrium (see e.g.…”

Section: Observational Consequencesmentioning

confidence: 99%

Effective field theory of force-free electrodynamics

Gralla

Iqbal

2019

Phys. Rev. D

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Force-free electrodynamics (FFE) is a closed set of equations for the electromagnetic field of a magnetically dominated plasma. There are strong arguments for the existence of force-free plasmas near pulsars and active black holes, but FFE alone cannot account for the observational signatures, such as coherent radio emission and relativistic jets and winds. We reformulate FFE as the effective field theory of a cold string fluid and initiate a systematic study of corrections in a derivative expansion. At leading order the effective theory is equivalent to (generalized) FFE, with the strings comprised by magnetic field line worldsheets. Higher-order corrections generically give rise to nonzero accelerating electric fields (E · B = 0). We discuss potential observable consequences and comment on an intriguing numerical coincidence.

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Section: Observational Consequencesmentioning

confidence: 99%

Effective field theory of force-free electrodynamics

Gralla

Iqbal

2019

Phys. Rev. D

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“…Note that for k = −1, the mass can take negative values in a restricted range, e.g., see [34]. 5 There is an enormous literature on the subject of the action principle for relativistic fluids, e.g., see [73,74] for further discussions of perfect fluids and [75][76][77][78][79] for recent developments in describing dissipative hydrodynamics. 6 We note that the on-shell action also vanishes using this alternative approach.…”

Section: Action For a Null Fluidmentioning

confidence: 99%

Holographic complexity in Vaidya spacetimes. Part I

Chapman

Marrochio

Myers

2018

J. High Energ. Phys.

151

222

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We examine holographic complexity in time-dependent Vaidya spacetimes with both the complexity=volume (CV) and complexity=action (CA) proposals. We focus on the evolution of the holographic complexity for a thin shell of null fluid, which collapses into empty AdS space and forms a (one-sided) black hole. In order to apply the CA approach, we introduce an action principle for the null fluid which sources the Vaidya geometries, and we carefully examine the contribution of the null shell to the action. Further, we find that adding a particular counterterm on the null boundaries of the Wheeler-DeWitt patch is essential if the gravitational action is to properly describe the complexity of the boundary state. For both the CV proposal and the CA proposal (with the extra boundary counterterm), the late time limit of the growth rate of the holographic complexity for the one-sided black hole is precisely the same as that found for an eternal black hole.

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“…[10,45] to derive the equilibrium form of the ideal stress-energy tensor and current (2.12) 13 See Ref. [21] for a recent discussion of stability of (NavierStokes) hydrodynamics in connection with the Israel-Stewart theory. …”

Section: Appendix A: Ideal Fluid Partition Function and Thermodynamicsmentioning

confidence: 99%

“…Despite its universal utility in everyday physics and its pedigreed history, its theoretical development continues to be an active area of research even today. In particular, the new laboratory provided by gauge/ gravity duality has stimulated developments in hydrodynamics alone, including an understanding of universal effects in anomalous hydrodynamics [1][2][3], potentially fundamental bounds on dissipation [4,5], a refined understanding of higher-order transport [6][7][8][9][10][11][12], and path-integral (action principle) formulations of dissipative hydrodynamics [13][14][15][16][17][18][19][20][21]; see e.g. Refs.…”

Section: Introductionmentioning

confidence: 99%

Coupling Constant Corrections in a Holographic Model of Heavy Ion Collisions

Grozdanov

Schee²

2017

Phys. Rev. Lett.

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The conserved magnetic flux of Uð1Þ electrodynamics coupled to matter in four dimensions is associated with a generalized global symmetry. We study the realization of such a symmetry at finite temperature and develop the hydrodynamic theory describing fluctuations of a conserved 2-form current around thermal equilibrium. This can be thought of as a systematic derivation of relativistic magnetohydrodynamics, constrained only by symmetries and effective field theory. We construct the entropy current and show that at first order in derivatives, there are seven dissipative transport coefficients. We present a universal definition of resistivity in a theory of dynamical electromagnetism and derive a direct Kubo formula for the resistivity in terms of correlation functions of the electric field operator. We also study fluctuations and collective modes, deriving novel expressions for the dissipative widths of magnetosonic and Alfvén modes. Finally, we demonstrate that a nontrivial truncation of the theory can be performed at low temperatures compared to the magnetic field: this theory has an emergent Lorentz invariance along magnetic field lines, and hydrodynamic fluctuations are now parametrized by a fluid tensor rather than a fluid velocity. Throughout, no assumption is made of weak electromagnetic coupling. Thus, our theory may have phenomenological relevance for dense electromagnetic plasmas.

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Lagrangian formulation of relativistic Israel-Stewart hydrodynamics

Cited by 30 publications

References 51 publications

Effective field theory of force-free electrodynamics

Effective field theory of force-free electrodynamics

Holographic complexity in Vaidya spacetimes. Part I

Coupling Constant Corrections in a Holographic Model of Heavy Ion Collisions

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