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

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 26 Apr 2012Embargo end date: 01 Jan 2011 English Publisher:American Physical Society (APS)Journal:Physical Review D, volume 85 (issn: 1550-7998, eissn: 1550-2368,

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Authors: Dubovsky, Sergei; Hui, Lam; Nicolis, Alberto; Son, Dam Thanh;

doi: 10.1103/physrevd.85.085029 , 10.48550/arxiv.1107.0731

arXiv: 1107.0731

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

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Abstract

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.

10 pages

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Keywords

High Energy Physics - Theory, Nuclear Theory (nucl-th), Cosmology and Nongalactic Astrophysics (astro-ph.CO), Nuclear Theory, High Energy Physics - Theory (hep-th), Fluid Dynamics (physics.flu-dyn), FOS: Physical sciences, Physics - Fluid Dynamics, General Relativity and Quantum Cosmology (gr-qc), General Relativity and Quantum Cosmology, Astrophysics - Cosmology and Nongalactic Astrophysics

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