Nonlinear Langevin dynamics via holography
Abstract In this work, we consider non-linear corrections to the Langevin effective theory of a heavy quark moving through a strongly coupled CFT plasma. In AdS/CFT, this system can be identified with that of a string stretched between the boundary and the horizon of an asymptotically AdS black bran...
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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-01-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP01(2020)165 |
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| author | Bidisha Chakrabarty Joydeep Chakravarty Soumyadeep Chaudhuri Chandan Jana R. Loganayagam Akhil Sivakumar |
| author_facet | Bidisha Chakrabarty Joydeep Chakravarty Soumyadeep Chaudhuri Chandan Jana R. Loganayagam Akhil Sivakumar |
| author_sort | Bidisha Chakrabarty |
| collection | DOAJ |
| description | Abstract In this work, we consider non-linear corrections to the Langevin effective theory of a heavy quark moving through a strongly coupled CFT plasma. In AdS/CFT, this system can be identified with that of a string stretched between the boundary and the horizon of an asymptotically AdS black brane solution. We compute the Feynman-Vernon influence phase for the heavy quark by evaluating the Nambu-Goto action on a doubled string configuration. This configuration is the linearised solution of the string motion in the doubled black brane geometry which has been proposed as the holographic dual of a thermal Schwinger-Keldysh contour of the CFT. Our expression for the influence phase passes non-trivial consistency conditions arising from the underlying unitarity and thermality of the bath. The local effective theory obeys the recently proposed non-linear fluctuation dissipation theorem relating the non-Gaussianity of thermal noise to the thermal jitter in the damping constant. This furnishes a non-trivial check for the validity of these relations derived in the weak coupling regime. |
| format | Article |
| id | doaj-art-24a7147893724ba3877d63f6e95c9d12 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-24a7147893724ba3877d63f6e95c9d122025-02-09T12:06:44ZengSpringerOpenJournal of High Energy Physics1029-84792020-01-012020114010.1007/JHEP01(2020)165Nonlinear Langevin dynamics via holographyBidisha Chakrabarty0Joydeep Chakravarty1Soumyadeep Chaudhuri2Chandan Jana3R. Loganayagam4Akhil Sivakumar5International Centre for Theoretical Sciences (ICTS-TIFR), Tata Institute of Fundamental ResearchInternational Centre for Theoretical Sciences (ICTS-TIFR), Tata Institute of Fundamental ResearchInternational Centre for Theoretical Sciences (ICTS-TIFR), Tata Institute of Fundamental ResearchInternational Centre for Theoretical Sciences (ICTS-TIFR), Tata Institute of Fundamental ResearchInternational Centre for Theoretical Sciences (ICTS-TIFR), Tata Institute of Fundamental ResearchInternational Centre for Theoretical Sciences (ICTS-TIFR), Tata Institute of Fundamental ResearchAbstract In this work, we consider non-linear corrections to the Langevin effective theory of a heavy quark moving through a strongly coupled CFT plasma. In AdS/CFT, this system can be identified with that of a string stretched between the boundary and the horizon of an asymptotically AdS black brane solution. We compute the Feynman-Vernon influence phase for the heavy quark by evaluating the Nambu-Goto action on a doubled string configuration. This configuration is the linearised solution of the string motion in the doubled black brane geometry which has been proposed as the holographic dual of a thermal Schwinger-Keldysh contour of the CFT. Our expression for the influence phase passes non-trivial consistency conditions arising from the underlying unitarity and thermality of the bath. The local effective theory obeys the recently proposed non-linear fluctuation dissipation theorem relating the non-Gaussianity of thermal noise to the thermal jitter in the damping constant. This furnishes a non-trivial check for the validity of these relations derived in the weak coupling regime.https://doi.org/10.1007/JHEP01(2020)165Holography and quark-gluon plasmasQuantum Dissipative SystemsAdS- CFT Correspondence |
| spellingShingle | Bidisha Chakrabarty Joydeep Chakravarty Soumyadeep Chaudhuri Chandan Jana R. Loganayagam Akhil Sivakumar Nonlinear Langevin dynamics via holography Journal of High Energy Physics Holography and quark-gluon plasmas Quantum Dissipative Systems AdS- CFT Correspondence |
| title | Nonlinear Langevin dynamics via holography |
| title_full | Nonlinear Langevin dynamics via holography |
| title_fullStr | Nonlinear Langevin dynamics via holography |
| title_full_unstemmed | Nonlinear Langevin dynamics via holography |
| title_short | Nonlinear Langevin dynamics via holography |
| title_sort | nonlinear langevin dynamics via holography |
| topic | Holography and quark-gluon plasmas Quantum Dissipative Systems AdS- CFT Correspondence |
| url | https://doi.org/10.1007/JHEP01(2020)165 |
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