Chiral hydrodynamics in strong external magnetic fields
Abstract We construct the general hydrodynamic description of (3+1)-dimensional chiral charged (quantum) fluids subject to a strong external magnetic field with effective field theory methods. We determine the constitutive equations for the energy-momentum tensor and the axial charge current, in par...
| Main Authors: | , , , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2021-04-01
|
| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP04(2021)078 |
| _version_ | 1818849776745054208 |
|---|---|
| author | Martin Ammon Sebastian Grieninger Juan Hernandez Matthias Kaminski Roshan Koirala Julian Leiber Jackson Wu |
| author_facet | Martin Ammon Sebastian Grieninger Juan Hernandez Matthias Kaminski Roshan Koirala Julian Leiber Jackson Wu |
| author_sort | Martin Ammon |
| collection | DOAJ |
| description | Abstract We construct the general hydrodynamic description of (3+1)-dimensional chiral charged (quantum) fluids subject to a strong external magnetic field with effective field theory methods. We determine the constitutive equations for the energy-momentum tensor and the axial charge current, in part from a generating functional. Furthermore, we derive the Kubo formulas which relate two-point functions of the energy-momentum tensor and charge current to 27 transport coefficients: 8 independent thermodynamic, 4 independent non-dissipative hydrodynamic, and 10 independent dissipative hydrodynamic transport coefficients. Five Onsager relations render 5 more transport coefficients dependent. We uncover four novel transport effects, which are encoded in what we call the shear-induced conductivity, the two expansion-induced longitudinal conductivities and the shear-induced Hall conductivity. Remarkably, the shear-induced Hall conductivity constitutes a novel non-dissipative transport effect. As a demonstration, we compute all transport coefficients explicitly in a strongly coupled quantum fluid via holography. |
| first_indexed | 2024-12-19T06:38:37Z |
| format | Article |
| id | doaj.art-99b57e3c57f74e65b860b110327f2ab6 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-19T06:38:37Z |
| publishDate | 2021-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-99b57e3c57f74e65b860b110327f2ab62022-12-21T20:32:10ZengSpringerOpenJournal of High Energy Physics1029-84792021-04-012021418210.1007/JHEP04(2021)078Chiral hydrodynamics in strong external magnetic fieldsMartin Ammon0Sebastian Grieninger1Juan Hernandez2Matthias Kaminski3Roshan Koirala4Julian Leiber5Jackson Wu6Theoretisch-Physikalisches Institut, Friedrich-Schiller-Universität JenaTheoretisch-Physikalisches Institut, Friedrich-Schiller-Universität JenaPerimeter Institute for Theoretical PhysicsDepartment of Physics and Astronomy, University of AlabamaDepartment of Physics and Astronomy, University of AlabamaTheoretisch-Physikalisches Institut, Friedrich-Schiller-Universität JenaDepartment of Physics and Astronomy, University of AlabamaAbstract We construct the general hydrodynamic description of (3+1)-dimensional chiral charged (quantum) fluids subject to a strong external magnetic field with effective field theory methods. We determine the constitutive equations for the energy-momentum tensor and the axial charge current, in part from a generating functional. Furthermore, we derive the Kubo formulas which relate two-point functions of the energy-momentum tensor and charge current to 27 transport coefficients: 8 independent thermodynamic, 4 independent non-dissipative hydrodynamic, and 10 independent dissipative hydrodynamic transport coefficients. Five Onsager relations render 5 more transport coefficients dependent. We uncover four novel transport effects, which are encoded in what we call the shear-induced conductivity, the two expansion-induced longitudinal conductivities and the shear-induced Hall conductivity. Remarkably, the shear-induced Hall conductivity constitutes a novel non-dissipative transport effect. As a demonstration, we compute all transport coefficients explicitly in a strongly coupled quantum fluid via holography.https://doi.org/10.1007/JHEP04(2021)078AdS-CFT CorrespondenceEffective Field TheoriesHolography and condensed matter physics (AdS/CMT)Holography and quark-gluon plasmas |
| spellingShingle | Martin Ammon Sebastian Grieninger Juan Hernandez Matthias Kaminski Roshan Koirala Julian Leiber Jackson Wu Chiral hydrodynamics in strong external magnetic fields Journal of High Energy Physics AdS-CFT Correspondence Effective Field Theories Holography and condensed matter physics (AdS/CMT) Holography and quark-gluon plasmas |
| title | Chiral hydrodynamics in strong external magnetic fields |
| title_full | Chiral hydrodynamics in strong external magnetic fields |
| title_fullStr | Chiral hydrodynamics in strong external magnetic fields |
| title_full_unstemmed | Chiral hydrodynamics in strong external magnetic fields |
| title_short | Chiral hydrodynamics in strong external magnetic fields |
| title_sort | chiral hydrodynamics in strong external magnetic fields |
| topic | AdS-CFT Correspondence Effective Field Theories Holography and condensed matter physics (AdS/CMT) Holography and quark-gluon plasmas |
| url | https://doi.org/10.1007/JHEP04(2021)078 |
| work_keys_str_mv | AT martinammon chiralhydrodynamicsinstrongexternalmagneticfields AT sebastiangrieninger chiralhydrodynamicsinstrongexternalmagneticfields AT juanhernandez chiralhydrodynamicsinstrongexternalmagneticfields AT matthiaskaminski chiralhydrodynamicsinstrongexternalmagneticfields AT roshankoirala chiralhydrodynamicsinstrongexternalmagneticfields AT julianleiber chiralhydrodynamicsinstrongexternalmagneticfields AT jacksonwu chiralhydrodynamicsinstrongexternalmagneticfields |