Spin relaxation rate for heavy quarks in weakly coupled QCD plasma
Abstract We compute the relaxation rate of the spin density of heavy quarks in a perturbative QCD plasma to leading-log order in the coupling constant g. The spin relaxation rate Γ s in spin hydrodynamics is shown to be Γ s ~ g 4 log(1/g)T(T/M)2 in the heavy-quark limit T/M ≪ 1, which is smaller tha...
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2022-08-01
|
| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP08(2022)263 |
| _version_ | 1818082471968768000 |
|---|---|
| author | Masaru Hongo Xu-Guang Huang Matthias Kaminski Mikhail Stephanov Ho-Ung Yee |
| author_facet | Masaru Hongo Xu-Guang Huang Matthias Kaminski Mikhail Stephanov Ho-Ung Yee |
| author_sort | Masaru Hongo |
| collection | DOAJ |
| description | Abstract We compute the relaxation rate of the spin density of heavy quarks in a perturbative QCD plasma to leading-log order in the coupling constant g. The spin relaxation rate Γ s in spin hydrodynamics is shown to be Γ s ~ g 4 log(1/g)T(T/M)2 in the heavy-quark limit T/M ≪ 1, which is smaller than the relaxation rate of other non- hydrodynamic modes by additional powers of T/M. We demonstrate three different methods to evaluate the spin relaxation rate: 1) the Green-Kubo formula in the spin hydrodynamic regime, 2) the spin density correlation function in the strict hydrodynamic limit, and 3) quantum kinetic theory of the spin distribution function in momentum space. We highlight the interesting differences between these methods, while they are ultimately connected to each other by the underlying Ward-Takahashi identity for the non-conserved spin density. |
| first_indexed | 2024-12-10T19:22:38Z |
| format | Article |
| id | doaj.art-df138dddf4e6452590ed9bb450fdc12c |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-10T19:22:38Z |
| publishDate | 2022-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-df138dddf4e6452590ed9bb450fdc12c2022-12-22T01:36:27ZengSpringerOpenJournal of High Energy Physics1029-84792022-08-012022813310.1007/JHEP08(2022)263Spin relaxation rate for heavy quarks in weakly coupled QCD plasmaMasaru Hongo0Xu-Guang Huang1Matthias Kaminski2Mikhail Stephanov3Ho-Ung Yee4Department of Physics, University of IllinoisPhysics Department and Center for Field Theory and Particle Physics, Fudan UniversityDepartment of Physics and Astronomy, University of AlabamaDepartment of Physics, University of IllinoisDepartment of Physics, University of IllinoisAbstract We compute the relaxation rate of the spin density of heavy quarks in a perturbative QCD plasma to leading-log order in the coupling constant g. The spin relaxation rate Γ s in spin hydrodynamics is shown to be Γ s ~ g 4 log(1/g)T(T/M)2 in the heavy-quark limit T/M ≪ 1, which is smaller than the relaxation rate of other non- hydrodynamic modes by additional powers of T/M. We demonstrate three different methods to evaluate the spin relaxation rate: 1) the Green-Kubo formula in the spin hydrodynamic regime, 2) the spin density correlation function in the strict hydrodynamic limit, and 3) quantum kinetic theory of the spin distribution function in momentum space. We highlight the interesting differences between these methods, while they are ultimately connected to each other by the underlying Ward-Takahashi identity for the non-conserved spin density.https://doi.org/10.1007/JHEP08(2022)263Quark-Gluon PlasmaThermal Field TheoryQuantum Dissipative Systems |
| spellingShingle | Masaru Hongo Xu-Guang Huang Matthias Kaminski Mikhail Stephanov Ho-Ung Yee Spin relaxation rate for heavy quarks in weakly coupled QCD plasma Journal of High Energy Physics Quark-Gluon Plasma Thermal Field Theory Quantum Dissipative Systems |
| title | Spin relaxation rate for heavy quarks in weakly coupled QCD plasma |
| title_full | Spin relaxation rate for heavy quarks in weakly coupled QCD plasma |
| title_fullStr | Spin relaxation rate for heavy quarks in weakly coupled QCD plasma |
| title_full_unstemmed | Spin relaxation rate for heavy quarks in weakly coupled QCD plasma |
| title_short | Spin relaxation rate for heavy quarks in weakly coupled QCD plasma |
| title_sort | spin relaxation rate for heavy quarks in weakly coupled qcd plasma |
| topic | Quark-Gluon Plasma Thermal Field Theory Quantum Dissipative Systems |
| url | https://doi.org/10.1007/JHEP08(2022)263 |
| work_keys_str_mv | AT masaruhongo spinrelaxationrateforheavyquarksinweaklycoupledqcdplasma AT xuguanghuang spinrelaxationrateforheavyquarksinweaklycoupledqcdplasma AT matthiaskaminski spinrelaxationrateforheavyquarksinweaklycoupledqcdplasma AT mikhailstephanov spinrelaxationrateforheavyquarksinweaklycoupledqcdplasma AT houngyee spinrelaxationrateforheavyquarksinweaklycoupledqcdplasma |