Topological sigma models & dissipative hydrodynamics

Haehl, Felix M.; Loganayagam, R.; Rangamani, Mukund

Abstract

We outline a universal Schwinger-Keldysh effective theory which describes macroscopic thermal fluctuations of a relativistic field theory. The basic ingredients of our construction are three: a doubling of degrees of freedom, an emergent abelian symmetry associated with entropy, and a topological (BRST) supersymmetry imposing fluctuationdissipation theorem. We illustrate these ideas for a non-linear viscous fluid, and demonstrate that the resulting effective action obeys a generalized fluctuation-dissipation theorem, which guarantees a local form of the second law.

Citation

Haehl, F. M., Loganayagam, R., & Rangamani, M. (2016). Topological sigma models & dissipative hydrodynamics. Journal of High Energy Physics, 2016(4), Article 39. https://doi.org/10.1007/jhep04%282016%29039

• Journal Article Type: Article
• Acceptance Date: Mar 21, 2016
• Online Publication Date: Apr 7, 2016
• Publication Date: Apr 7, 2016
• Deposit Date: Apr 4, 2019
• Publicly Available Date: Apr 4, 2019
• Journal: Journal of High Energy Physics
• Print ISSN: 1126-6708
• Publisher: Scuola Internazionale Superiore di Studi Avanzati (SISSA)
• Peer Reviewed: Peer Reviewed
• Volume: 2016
• Issue: 4
• Article Number: 39
• DOI: https://doi.org/10.1007/jhep04%282016%29039