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Heavy quark diffusion in strongly coupledN=4Yang-Mills theory
Open accessAbstract
We express the heavy quark diffusion coefficient as the temporal variation of a Wilson line along the Schwinger-Keldysh contour. This generalizes the classical formula for diffusion as a force-force correlator to a non-Abelian theory. We use this formula to compute the diffusion coefficient in strongly coupled $\mathcal{N}=4$ Yang-Mills theory by studying the fluctuations of a string in ${\mathrm{AdS}}_{5}\ifmmode\times\else\texttimes\fi{}{S}_{5}$. The string solution spans the full Kruskal plane and gives access to contour correlations. The diffusion coefficient is $D=2/\sqrt{\ensuremath{\lambda}}\ensuremath{\pi}T$ and is therefore parametrically smaller than momentum diffusion, $\ensuremath{\eta}/(e+p)=1/4\ensuremath{\pi}T$. The quark mass must be much greater than $T\sqrt{\ensuremath{\lambda}}$ in order to treat the quark as a heavy quasiparticle. The result is discussed in the context of the Relativistic Heavy Ion Collider (RHIC) experiments.
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Metadata
- Authors
- Casalderrey-Solana, J., & Teaney, D.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 2006-10-11
- Volume
- 74
- Issue
- 8
- ISSN
- 0556-2821 (ISSN-L)
- 1550-7998
- 1550-2368
- OpenAlex
- W1506912788
- Cited by
- 465
- References
- 34
- FWCI
- 29.82
- Type
- journal article
- Language
- en
- Open access
- green
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