Effective field theory for hydrodynamics: Thermodynamics, and the derivative expansion

By S. Dubovsky, L. Hui, Alberto Nicolis, D. Son. 2011

263 citations recorded by the source corpus.

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 thermodynamical ones. We discuss the systematics of the derivative expansion, for which field theory offers a conceptually clear and technically neat scheme. As an example, we compute the correction to the sound-wave dispersion relation coming from a sample second-order term. This formalism forms the basis for a study of anomalies in hydrodynamics via effective field theory, which is initiated in a companion paper.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/284b4a7a59ba74c5af728a9eea8b152bf26c1928

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

1. I. Sawicki
2. M. Rangamani
3. Hong Liu
4. O. Pujolàs
5. A. Vikman
6. F. Piazza
7. Alberto Nicolis
8. S. Grozdanov

In Nuclear and High Energy Physics

1. M. Rangamani
2. I. Sawicki
3. Hong Liu
4. O. Pujolàs
5. A. Vikman
6. Alberto Nicolis
7. V. Hubeny
8. S. Grozdanov

Citations in the corpus

• Solid holography and massive gravity (2015, background): “27) of the scalar fields is similar to the effective field theories used to describe perfect fluids [19] and solids [20, 21].”
• Effective field theory of dissipative fluids (2015, background): “The set Xμ(σ), φ(σ) for a single side arises naturally in the holographic context as first pointed out in [55], which along with [39, 40] has been an important inspiration for our study.”
• The imperfect fluid behind kinetic gravity braiding (2011, background): “72) were recently rederived in the work [79], c.”
• Viscosity and dissipative hydrodynamics from effective field theory (2013, methodology): “Note that the chemical potential is vanishing in the absence of a conserved U(1) Noether current [2], which we will not consider in this work.”
• Zoology of condensed matter: framids, ordinary stuff, extra-ordinary stuff (2015, background): “5 We refer the reader to the literature for the details of their effective field theories, which have been studied extensively in recent years [1, 3, 4, 21, 24, 26].”
• Solid Inflation (2012, background): “10), the temperature is given by T = − dF d √ detB [22].”
• Adiabatic hydrodynamics: the eightfold way to dissipation (2015, methodology): “With these manipulations we have made explicit that the adiabatic fluid formalism along with an appropriate Legendre transform reduces to the standard effective action formalism for hydrodynamics used in [30, 45, 46] and other references mentioned earlier.”