Relativistic hydrodynamic fluctuations from an effective action: Causality, stability, and the information current

Mullins, Nicki; Hippert, Mauricio; Gavassino, Lorenzo; Noronha, Jorge

doi:10.1103/physrevd.108.116019

Cited by 11 publications

(4 citation statements)

References 105 publications

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“…However, the standard fluid-dynamical approach discussed in this review does not treat fluctuations. The latter are subject of theories of stochastic fluid dynamics [ 25 , 26 , 27 , 28 , 29 , 30 , 31 , 32 , 33 , 34 , 35 , 36 , 37 , 38 , 39 , 40 ], which are outside the scope of this review.…”

Section: Preliminariesmentioning

confidence: 99%

“…The properties of BDNK theory in the presence of anomalies have been derived in [ 86 ], while the BDNK formulation of spin hydrodynamics was worked out in [ 87 ]. Finally, the stochastic formulation of BDNK theory has been recently discussed in [ 38 , 39 , 40 ]. In this review, we will discuss in Section 5.3 how the BDNK coefficients shown in Equations ( 39 ) can be computed from relativistic kinetic theory, following the systematic procedure derived in [ 88 ] (see also [ 43 , 74 , 89 ] for related work).…”

Section: Gradient Expansions For Dissipative Fluid Dynamicsmentioning

confidence: 99%

“…Incidentally, this also implies causality in the linear regime, as shown in [103], and a very nice interpretation of this result in terms of information theory has also been presented in the same work. This new development, motivated initially to understand the connections between stability and causality in relativistic fluids, has now been applied to solve outstanding problems in related areas, such as the definition and construction of new universality classes in fluid dynamics [104,105], and the formulation of relativistic stochastic fluid dynamics [38,39].…”

Section: Israel-stewart Theorymentioning

confidence: 99%

“…Furthermore, there are several topics relevant to relativistic fluids that we do not discuss here, such as Lagrangian fluid dynamics [ 19 ], the effects of quantum anomalies [ 20 , 21 , 22 ], or hydrodynamic attractors [ 23 , 24 ]. Another topic which is out of the scope of the present paper is stochastic fluid dynamics [ 25 , 26 , 27 , 28 , 29 , 30 , 31 , 32 , 33 , 34 , 35 , 36 , 37 , 38 , 39 , 40 ] and the relationship between dissipation and fluctuations. Indeed, both a systematic understanding of the role of fluctuations and the systematic formulation of a theory of relativistic dissipative stochastic fluid dynamics are at an early stage of development.…”

Section: Introductionmentioning

confidence: 99%

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Theories of Relativistic Dissipative Fluid Dynamics

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Relativistic dissipative fluid dynamics finds widespread applications in high-energy nuclear physics and astrophysics. However, formulating a causal and stable theory of relativistic dissipative fluid dynamics is far from trivial; efforts to accomplish this reach back more than 50 years. In this review, we give an overview of the field and attempt a comparative assessment of (at least most of) the theories for relativistic dissipative fluid dynamics proposed until today and used in applications.

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Section: Preliminariesmentioning

confidence: 99%

Section: Gradient Expansions For Dissipative Fluid Dynamicsmentioning

confidence: 99%

Section: Israel-stewart Theorymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Theories of Relativistic Dissipative Fluid Dynamics

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Wagner,

Denicol

et al. 2024

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Schwinger-Keldysh effective field theory for stable and causal relativistic hydrodynamics

Jain,

Kovtun

2024

J. High Energ. Phys.

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We construct stable and causal effective field theories (EFTs) for describing statistical fluctuations in relativistic diffusion and relativistic hydrodynamics. These EFTs are fully non-linear, including couplings to background sources, and enable us to compute n-point time-ordered correlation functions including the effects of statistical fluctuations. The EFTs we construct are inspired by the Maxwell-Cattaneo model of relativistic diffusion and Müller-Israel-Stewart model of relativistic hydrodynamics respectively, and have been derived using both the Martin-Siggia-Rose and Schwinger-Keldysh formalisms. The EFTs non-linearly realise the dynamical Kubo-Martin-Schwinger (KMS) symmetry, which ensures that n-point correlation functions and interactions in the theory satisfy the appropriate fluctuation-dissipation theorems. Since these EFTs typically admit ultraviolet sectors that are not fixed by the low-energy infrared symmetries, we find that they simultaneously admit multiple realisations of the dynamical KMS symmetry. We also comment on certain obstructions to including statistical fluctuations in the recently-proposed stable and causal Bemfica-Disconzi-Noronha-Kovtun model of relativistic hydrodynamics.

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Nearly critical superfluid: effective field theory and holography

Bu,

Gao,

Gao

et al. 2024

J. High Energ. Phys.

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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 temperature. The dynamical variables in the EFT construction are two scalars: a neutral scalar associated with the conserved U(1) charge, and a complex scalar describing the order parameter. The set of symmetries, particularly the dynamical Kubo-Martin-Schwinger (KMS) symmetry and chemical shift symmetry, strictly constrains the form of EFT action. Within the second approach, using the holographic Schwinger-Keldysh technique, we derive the effective action for a “microscopic” holographic superfluid, confirming the EFT construction. A systematic inclusion of non-Gaussianity is one highlight of present study.

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Relativistic hydrodynamic fluctuations from an effective action: Causality, stability, and the information current

Cited by 11 publications

References 105 publications

Theories of Relativistic Dissipative Fluid Dynamics

Theories of Relativistic Dissipative Fluid Dynamics

Schwinger-Keldysh effective field theory for stable and causal relativistic hydrodynamics

Nearly critical superfluid: effective field theory and holography

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