Effective field theory for non-relativistic hydrodynamics
Abstract We write down a Schwinger-Keldysh effective field theory for non-relativistic (Galilean) hydrodynamics. We use the null background construction to covariantly couple Galilean field theories to a set of background sources. In this language, Galilean hydrodynamics gets recast as relativistic...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-10-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | http://link.springer.com/article/10.1007/JHEP10(2020)208 |
| _version_ | 1818543050665754624 |
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| author | Akash Jain |
| author_facet | Akash Jain |
| author_sort | Akash Jain |
| collection | DOAJ |
| description | Abstract We write down a Schwinger-Keldysh effective field theory for non-relativistic (Galilean) hydrodynamics. We use the null background construction to covariantly couple Galilean field theories to a set of background sources. In this language, Galilean hydrodynamics gets recast as relativistic hydrodynamics formulated on a one dimension higher spacetime admitting a null Killing vector. This allows us to import the existing field theoretic techniques for relativistic hydrodynamics into the Galilean setting, with minor modifications to include the additional background vector field. We use this formulation to work out an interacting field theory describing stochastic fluctuations of energy, momentum, and density modes around thermal equilibrium. We also present a translation of our results to the more conventional Newton-Cartan language, and discuss how the same can be derived via a non-relativistic limit of the effective field theory for relativistic hydrodynamics. |
| first_indexed | 2024-12-11T22:30:13Z |
| format | Article |
| id | doaj.art-6a9e28a8bf4a45d282ff10cf689ec11f |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-11T22:30:13Z |
| publishDate | 2020-10-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-6a9e28a8bf4a45d282ff10cf689ec11f2022-12-22T00:48:09ZengSpringerOpenJournal of High Energy Physics1029-84792020-10-0120201016810.1007/JHEP10(2020)208Effective field theory for non-relativistic hydrodynamicsAkash Jain0Department of Physics & Astronomy, University of VictoriaAbstract We write down a Schwinger-Keldysh effective field theory for non-relativistic (Galilean) hydrodynamics. We use the null background construction to covariantly couple Galilean field theories to a set of background sources. In this language, Galilean hydrodynamics gets recast as relativistic hydrodynamics formulated on a one dimension higher spacetime admitting a null Killing vector. This allows us to import the existing field theoretic techniques for relativistic hydrodynamics into the Galilean setting, with minor modifications to include the additional background vector field. We use this formulation to work out an interacting field theory describing stochastic fluctuations of energy, momentum, and density modes around thermal equilibrium. We also present a translation of our results to the more conventional Newton-Cartan language, and discuss how the same can be derived via a non-relativistic limit of the effective field theory for relativistic hydrodynamics.http://link.springer.com/article/10.1007/JHEP10(2020)208Effective Field TheoriesSpace-Time SymmetriesQuantum Dissipative SystemsStochastic Processes |
| spellingShingle | Akash Jain Effective field theory for non-relativistic hydrodynamics Journal of High Energy Physics Effective Field Theories Space-Time Symmetries Quantum Dissipative Systems Stochastic Processes |
| title | Effective field theory for non-relativistic hydrodynamics |
| title_full | Effective field theory for non-relativistic hydrodynamics |
| title_fullStr | Effective field theory for non-relativistic hydrodynamics |
| title_full_unstemmed | Effective field theory for non-relativistic hydrodynamics |
| title_short | Effective field theory for non-relativistic hydrodynamics |
| title_sort | effective field theory for non relativistic hydrodynamics |
| topic | Effective Field Theories Space-Time Symmetries Quantum Dissipative Systems Stochastic Processes |
| url | http://link.springer.com/article/10.1007/JHEP10(2020)208 |
| work_keys_str_mv | AT akashjain effectivefieldtheoryfornonrelativistichydrodynamics |