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This is the first part of lectures about effective field theories. Decoupling of heavy-particle loops is considered (heavy leptons in QED, heavy quarks in QCD).

High Energy Physics - Phenomenology · Physics 2009-09-01 A. G. Grozin

Particle methods are less computationally efficient than grid based numerical solution of the Navier Stokes equation. However, they have important advantages including rigorous mass conservation, momentum conservation and isotropy. In…

Fluid Dynamics · Physics 2024-06-26 Paul Meakin , Zhijie Xu

The first-order general relativistic theory of a generic dissipative (heat-conducting, viscous, particle-creating) fluid is rediscussed from a unified covariant frame-independent point of view. By generalizing some previous works in the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 R. Silva , J. A. S. Lima , M. O. Calvão

Time-dependent density functional theory is extended to include dissipative systems evolving under a master equation, providing a Hamiltonian treatment for molecular electronics. For weak electric fields, the isothermal conductivity is…

Materials Science · Physics 2007-05-23 Kieron Burke , Roberto Car , Ralph Gebauer

We consider the governing equations for the motion of the viscous fluids in two moving domains and an evolving surface from both energetic and thermodynamic points of view. We make mathematical models for multiphase flow with surface flow…

Mathematical Physics · Physics 2023-01-10 Hajime Koba

We present the effective theory of fluids at next-to-leading order in derivatives, including an operator that has not been considered until now. The power-counting scheme and its connection with the propagation of phonon and metric…

High Energy Physics - Theory · Physics 2015-06-23 Guillermo Ballesteros

By the hydrodynamic linear response theory, dynamical correlation functions decay as power laws along certain velocities, determined by the flux Jacobian. Such correlations are obtained by hydrodynamic projections, and physically, they are…

Mathematical Physics · Physics 2023-02-07 Giuseppe Del Vecchio Del Vecchio , Benjamin Doyon

We study the hydrodynamics of superconductors within the framework of Schwinger-Keldysh Effective Field Theory. We show that in the vicinity of the superconducting phase transition the most general leading-order EFT satisfying the local…

Superconductivity · Physics 2023-05-02 Anton Kapustin , Luke Mrini

In the context of the M\"uller-Israel-Stewart second-order theory for dissipative fluids due to Grad, we analyze the effects of thermal conduction and viscosity in heavy ion collisions. We contrast the results to those of the first-order…

Nuclear Theory · Physics 2008-11-26 Azwinndini Muronga

In this paper we consider dissipative hydrodynamic equations for systems with continuous broken symmetries. We first present the case of superfluidity, in which the symmetry U(1) is broken and then generalize to the chiral symmetry $SU(2)_L…

High Energy Physics - Phenomenology · Physics 2016-09-06 C. Pujol , D. Davesne

We show that literature results claimed for the magnetic field dependence of the longitudinal conductivity in anomalous first-order hydrodynamics are frame dependent at this derivative order. In particular, we focus on $(3+1)$-dimensional…

High Energy Physics - Theory · Physics 2023-08-11 Andrea Amoretti , Daniel K. Brattan , Luca Martinoia , Ioannis Matthaiakakis

We investigate an explicit example of how spatial decoherence can lead to hydrodynamic behavior in the late-time, long-wavelength regime of open quantum systems. We focus on the case of a single non-relativistic quantum particle linearly…

Statistical Mechanics · Physics 2025-12-17 Zhi-Li Zhou , Mauricio Hippert , Nicki Mullins , Jorge Noronha

We present a new derivation of relativistic second-order dissipative hydrodynamics for quantum systems using Zubarev's non-equilibrium statistical-operator formalism. This is achieved by a systematic expansion of the energy-momentum tensor…

Nuclear Theory · Physics 2022-02-02 Arus Harutyunyan , Armen Sedrakian , Dirk H. Rischke

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

Linear response theory relates hydrodynamic transport coefficients to equilibrium retarded correlation functions of the stress-energy tensor and global symmetry currents in terms of Kubo formulas. Some of these transport coefficients are…

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

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 introduce an effective field theory to study \emph{indirect} mixing of two fields induced by their couplings to a common decay channel in a medium. The extension of the method of Lee, Oehme and Yang, the cornerstone of analysis of CP…

High Energy Physics - Phenomenology · Physics 2024-03-04 Shuyang Cao , Daniel Boyanovsky

In this paper we derive a new first-order theory of relativistic dissipative fluids by adopting the trace-fixed particle frame. Whereas in a companion letter we show that this theory is hyperbolic, causal and stable at global equilibrium…

General Relativity and Quantum Cosmology · Physics 2025-04-30 J. Félix Salazar , Ana Laura García-Perciante , Olivier Sarbach

We present the hydrodynamics of fluids in three spatial dimensions with helical symmetry, wherein only a linear combination of a rotation and translation is conserved in one of the three directions. The hydrodynamic degrees of freedom…

Statistical Mechanics · Physics 2022-08-29 Jack H. Farrell , Xiaoyang Huang , Andrew Lucas

We derive a set of nontrivial relations between second-order transport coefficients which follow from the second law of thermodynamics upon considering a regime close to uniform rotation of the fluid. We demonstrate that extension of…

High Energy Physics - Theory · Physics 2021-08-25 Shiyong Li , Mikhail A. Stephanov , Ho-Ung Yee
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