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We develop a hydrodynamic effective field theory on the Schwinger-Keldysh contour for fluids with charge, energy, and momentum conservation, but only discrete rotational symmetry. The consequences of anisotropy on thermodynamics and…

High Energy Physics - Theory · Physics 2022-03-16 Xiaoyang Huang , Andrew Lucas

We develop a Schwinger-Keldysh effective field theory describing the hydrodynamics of a fluid with conserved charge and dipole moments, together with conserved momentum. The resulting hydrodynamic modes are highly unusual, including sound…

High Energy Physics - Theory · Physics 2023-05-24 Paolo Glorioso , Xiaoyang Huang , Jinkang Guo , Joaquin F. Rodriguez-Nieva , Andrew Lucas

We derive the hydrodynamic equations of perfect fluids without boost invariance [1] from kinetic theory. Our approach is to follow the standard derivation of the Vlasov hierarchy based on an a-priori unknown collision functional satisfying…

High Energy Physics - Theory · Physics 2025-10-01 Kevin T. Grosvenor , Niels A. Obers , Subodh P. Patil

We construct the first order hydrodynamics of quantum critical points with Lifshitz scaling and a spontaneously broken symmetry. The fluid is described by a combination of two flows, a normal component that carries entropy and a super-flow…

High Energy Physics - Theory · Physics 2014-10-13 Shira Chapman , Carlos Hoyos , Yaron Oz

We write down a Schwinger-Keldysh effective field theory for non-relativistic (Galilean) hydrodynamics. We use the null background construction to covariantly couple Galilean field theories to a set of background sources. In this language,…

High Energy Physics - Theory · Physics 2020-12-02 Akash Jain

We develop an effective field theory for dissipative fluids which governs the dynamics of long-lived gapless modes associated with conserved quantities. The resulting theory gives a path integral formulation of fluctuating hydrodynamics…

High Energy Physics - Theory · Physics 2017-01-30 Michael Crossley , Paolo Glorioso , Hong Liu

We construct the general first-order hydrodynamic theory invariant under time translations, the Euclidean group of spatial transformations and preserving particle number, that is with symmetry group $\mathbb{R}_t\times$ISO$(d)\times$U$(1)$.…

High Energy Physics - Theory · Physics 2020-08-26 Igor Novak , Julian Sonner , Benjamin Withers

We consider uncharged fluids without any boost symmetry on an arbitrary curved background and classify all allowed transport coefficients up to first order in derivatives. We assume rotational symmetry and we use the entropy current…

High Energy Physics - Theory · Physics 2020-08-27 Jan de Boer , Jelle Hartong , Emil Have , Niels A. Obers , Watse Sybesma

Active matter concerns many-body systems comprised of living or self-driven agents that collectively exhibit macroscopic phenomena distinct from conventional passive matter. Using Schwinger-Keldysh effective field theory, we develop a novel…

Soft Condensed Matter · Physics 2025-11-07 Jay Armas , Akash Jain , Ruben Lier

We consider the low-energy effective field theory describing the infrared dynamics of non-dissipative fluids. We extend previous work to accommodate conserved charges, and we clarify the matching between field theory variables and…

High Energy Physics - Theory · Physics 2012-08-23 Sergei Dubovsky , Lam Hui , Alberto Nicolis , Dam Thanh Son

We construct the hydrodynamics of quantum critical points with Lifshitz scaling. There are new dissipative effects allowed by the lack of boost invariance. The formulation is applicable, in general, to any fluid with an explicit breaking of…

High Energy Physics - Theory · Physics 2015-06-15 Carlos Hoyos , Bom Soo Kim , Yaron Oz

We derive the Schwinger-Keldysh effective field theories for diffusion including the lowest non-hydrodynamic degree of freedom from holographic Gubser-Rocha systems. At low temperature the dynamical non-hydrodynamic mode could be either an…

High Energy Physics - Theory · Physics 2025-04-03 Yan Liu , Ya-Wen Sun , Xin-Meng Wu

Starting from a standard description of an ideal, isentropic fluid, we derive the effective theory governing a gapless non-relativistic mode---the sound mode. The theory, which is dictated by the requirement of Galilei invariance, entails…

Condensed Matter · Physics 2015-06-25 Adriaan M. J. Schakel

We develop the formalism that incorporates quantum anomalies in the effective field theory of non-dissipative fluids. We consider the effect of adding a Wess-Zumino-like term to the low-energy effective action to account for anomalies. In…

High Energy Physics - Theory · Physics 2011-08-04 Sergei Dubovsky , Lam Hui , Alberto Nicolis

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…

High Energy Physics - Theory · Physics 2023-09-04 Akash Jain , Pavel Kovtun

We develop a new theory of perfect fluids with translation and rotation symmetry, which is also applicable in the absence of any type of boost symmetry. It involves introducing a new fluid variable, the kinetic mass density, which is needed…

High Energy Physics - Theory · Physics 2018-07-18 Jan de Boer , Jelle Hartong , Niels A. Obers , Watse Sybesma , Stefan Vandoren

We study one-loop corrections to retarded and symmetric hydrostatic correlation functions within the Schwinger-Keldysh effective field theory framework for relativistic hydrodynamics, focusing on charge diffusion. We first consider the…

High Energy Physics - Theory · Physics 2021-02-25 Akash Jain , Pavel Kovtun , Adam Ritz , Ashish Shukla

We consider a covariant formulation of field theories with Lifshitz scaling, and analyze the energy-momentum tensor and the scale symmetry Ward identity. We derive the equation of state and the ideal Lifshitz hydrodynamics in agreement with…

High Energy Physics - Theory · Physics 2014-03-12 Carlos Hoyos , Bom Soo Kim , Yaron Oz

Inspired by the hunt for new phases of matter in quantum mixed states, it has recently been proposed that the equivalence of microcanonical and canonical ensembles in statistical mechanics is a manifestation of strong-to-weak spontaneous…

Strongly Correlated Electrons · Physics 2025-03-21 Xiaoyang Huang , Marvin Qi , Jian-Hao Zhang , Andrew Lucas

We construct a Schwinger-Keldysh effective field theory for relativistic hydrodynamics for charged matter in a thermal background using a superspace formalism. Superspace allows us to efficiently impose the symmetries of the problem and to…

High Energy Physics - Theory · Physics 2018-10-17 Kristan Jensen , Natalia Pinzani-Fokeeva , Amos Yarom
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