# Second-Order Hydrodynamics in Next-to-Leading-Order QCD

## Abstract

We compute the hydrodynamic relaxation times τ _{π} and τ _{j} for hot QCD at next-to-leading order in the coupling with kinetic theory. We show that certain dimensionless ratios of second-order to first-order transport coefficients obey bounds which apply whenever a kinetic theory description is possible; the computed values lie somewhat above these bounds. Strongly coupled theories with holographic duals strongly violate these bounds, highlighting their distance from a quasiparticle description.

- Authors:

- European Organization for Nuclear Research (CERN), Geneva (Switzerland). Theoretical Physics Dept.
- Technische Univ. Darmstadt (Germany). Inst. fur Kernphysik
- Stony Brook Univ., NY (United States). Dept. of Physics and Astronomy

- Publication Date:

- Research Org.:
- State Univ. of New York (SUNY), Plattsburgh, NY (United States)

- Sponsoring Org.:
- USDOE

- OSTI Identifier:
- 1462306

- Alternate Identifier(s):
- OSTI ID: 1502072

- Grant/Contract Number:
- FG02-88ER40388

- Resource Type:
- Published Article

- Journal Name:
- Physical Review Letters

- Additional Journal Information:
- Journal Volume: 121; Journal Issue: 5; Journal ID: ISSN 0031-9007

- Publisher:
- American Physical Society (APS)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

### Citation Formats

```
Ghiglieri, Jacopo, Moore, Guy D., and Teaney, Derek. Second-Order Hydrodynamics in Next-to-Leading-Order QCD. United States: N. p., 2018.
Web. doi:10.1103/physrevlett.121.052302.
```

```
Ghiglieri, Jacopo, Moore, Guy D., & Teaney, Derek. Second-Order Hydrodynamics in Next-to-Leading-Order QCD. United States. doi:10.1103/physrevlett.121.052302.
```

```
Ghiglieri, Jacopo, Moore, Guy D., and Teaney, Derek. Tue .
"Second-Order Hydrodynamics in Next-to-Leading-Order QCD". United States. doi:10.1103/physrevlett.121.052302.
```

```
@article{osti_1462306,
```

title = {Second-Order Hydrodynamics in Next-to-Leading-Order QCD},

author = {Ghiglieri, Jacopo and Moore, Guy D. and Teaney, Derek},

abstractNote = {We compute the hydrodynamic relaxation times τπ and τj for hot QCD at next-to-leading order in the coupling with kinetic theory. We show that certain dimensionless ratios of second-order to first-order transport coefficients obey bounds which apply whenever a kinetic theory description is possible; the computed values lie somewhat above these bounds. Strongly coupled theories with holographic duals strongly violate these bounds, highlighting their distance from a quasiparticle description.},

doi = {10.1103/physrevlett.121.052302},

journal = {Physical Review Letters},

number = 5,

volume = 121,

place = {United States},

year = {2018},

month = {7}

}

Free Publicly Available Full Text

Publisher's Version of Record

DOI: 10.1103/physrevlett.121.052302

DOI: 10.1103/physrevlett.121.052302

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Cited by: 3 works

*Citation information provided by*

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Web of Science

#### Figures / Tables:

FIG. 1. :

*η/s*of QCD as a function of the temperature at LO and NLO for the different choices of the running coupling detailed in Fig. 3 and in the text later on. Figure taken from Ref. [14].
All figures and tables
(3 total)

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Figures / Tables found in this record:

*Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.*