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Report number arXiv:1605.05304 ; CERN-TH-2016-098 ; CERN-TH-2016-098
Title Thermodynamics of perfect fluids from scalar field theory
Author(s) Ballesteros, Guillermo (IPhT, Saclay ; CERN) ; Comelli, Denis (INFN, Ferrara) ; Pilo, Luigi (Gran Sasso ; L'Aquila U.)
Publication 2016-07-27
Imprint 17 May 2016
Number of pages 15
Note Comments: 24 pages, 1 figure. Some new references added and few typos
25 pages, 1 figure. Few typos corrected. Accepted for publication in PRD
In: Phys. Rev. D 94 (2016) 025034
DOI 10.1103/PhysRevD.94.025034
Subject category Particle Physics - Theory
Abstract The low-energy dynamics of relativistic continuous media is given by a shift-symmetric effective theory of four scalar fields. These scalars describe the embedding in spacetime of the medium and play the role of Stuckelberg fields for spontaneously broken spatial and time translations. Perfect fluids are selected imposing a stronger symmetry group or reducing the field content to a single scalar. We explore the relation between the field theory description of perfect fluids to thermodynamics. By drawing the correspondence between the allowed operators at leading order in derivatives and the thermodynamic variables, we find that a complete thermodynamic picture requires the four Stuckelberg fields. We show that thermodynamic stability plus the null energy condition imply dynamical stability. We also argue that a consistent thermodynamic interpretation is not possible if any of the shift symmetries is explicitly broken.
Copyright/License arXiv nonexclusive-distrib. 1.0
preprint: © 2016-2024 CERN (License: CC-BY-4.0)
publication: © 2016-2024 The Author(s) (License: CC-BY-4.0)



Corresponding record in: Inspire


 Record creato 2016-05-19, modificato l'ultima volta il 2024-08-27


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