Spectra of correlators in the relaxation time approximation of kinetic theory
Abstract The relaxation time approximation (RTA) of the kinetic Boltzmann equation is likely the simplest window into the microscopic properties of collective real-time transport. Within this framework, we analytically compute all retarded two-point Green’s functions of the energy-momentum tensor an...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2024-08-01
|
| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP08(2024)065 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1846158925399851008 |
|---|---|
| author | Matej Bajec Sašo Grozdanov Alexander Soloviev |
| author_facet | Matej Bajec Sašo Grozdanov Alexander Soloviev |
| author_sort | Matej Bajec |
| collection | DOAJ |
| description | Abstract The relaxation time approximation (RTA) of the kinetic Boltzmann equation is likely the simplest window into the microscopic properties of collective real-time transport. Within this framework, we analytically compute all retarded two-point Green’s functions of the energy-momentum tensor and a conserved U(1) current in thermal states with classical massless particles (a ‘CFT’) at non-zero density, and in the absence and presence of broken translational symmetry. This is done in 2 + 1 and 3 + 1 dimensions. RTA allows a full explicit analysis of the analytic structure of different correlators (poles versus branch cuts) and the transport properties that they imply (the thermoelectric conductivities, and the hydrodynamic, quasihydrodynamic and gapped mode dispersion relations). Our inherently weakly coupled analysis thereby also enables a direct comparison with previously known strongly coupled results in holographic CFTs dual to the Einstein-Maxwell-axion theories. |
| format | Article |
| id | doaj-art-d95477606ffc4d0abdb83dbff79dbc5b |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2024-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-d95477606ffc4d0abdb83dbff79dbc5b2024-11-24T12:04:57ZengSpringerOpenJournal of High Energy Physics1029-84792024-08-012024813910.1007/JHEP08(2024)065Spectra of correlators in the relaxation time approximation of kinetic theoryMatej Bajec0Sašo Grozdanov1Alexander Soloviev2Faculty of Mathematics and Physics, University of LjubljanaFaculty of Mathematics and Physics, University of LjubljanaFaculty of Mathematics and Physics, University of LjubljanaAbstract The relaxation time approximation (RTA) of the kinetic Boltzmann equation is likely the simplest window into the microscopic properties of collective real-time transport. Within this framework, we analytically compute all retarded two-point Green’s functions of the energy-momentum tensor and a conserved U(1) current in thermal states with classical massless particles (a ‘CFT’) at non-zero density, and in the absence and presence of broken translational symmetry. This is done in 2 + 1 and 3 + 1 dimensions. RTA allows a full explicit analysis of the analytic structure of different correlators (poles versus branch cuts) and the transport properties that they imply (the thermoelectric conductivities, and the hydrodynamic, quasihydrodynamic and gapped mode dispersion relations). Our inherently weakly coupled analysis thereby also enables a direct comparison with previously known strongly coupled results in holographic CFTs dual to the Einstein-Maxwell-axion theories.https://doi.org/10.1007/JHEP08(2024)065Thermal Field TheoryField Theory Hydrodynamics |
| spellingShingle | Matej Bajec Sašo Grozdanov Alexander Soloviev Spectra of correlators in the relaxation time approximation of kinetic theory Journal of High Energy Physics Thermal Field Theory Field Theory Hydrodynamics |
| title | Spectra of correlators in the relaxation time approximation of kinetic theory |
| title_full | Spectra of correlators in the relaxation time approximation of kinetic theory |
| title_fullStr | Spectra of correlators in the relaxation time approximation of kinetic theory |
| title_full_unstemmed | Spectra of correlators in the relaxation time approximation of kinetic theory |
| title_short | Spectra of correlators in the relaxation time approximation of kinetic theory |
| title_sort | spectra of correlators in the relaxation time approximation of kinetic theory |
| topic | Thermal Field Theory Field Theory Hydrodynamics |
| url | https://doi.org/10.1007/JHEP08(2024)065 |
| work_keys_str_mv | AT matejbajec spectraofcorrelatorsintherelaxationtimeapproximationofkinetictheory AT sasogrozdanov spectraofcorrelatorsintherelaxationtimeapproximationofkinetictheory AT alexandersoloviev spectraofcorrelatorsintherelaxationtimeapproximationofkinetictheory |