# Holography and off-center collisions of localized shock waves

## Abstract

Using numerical holography, we study the collision, at non-zero impact parameter, of bounded, localized distributions of energy density chosen to mimic relativistic heavy ion collisions, in strongly coupled N=4 supersymmetric Yang-Mills theory. Both longitudinal and transverse dynamics in the dual field theory are properly described. Using the gravitational description, we solve 5D Einstein equations with no dimensionality reducing symmetry restrictions to find the asymptotically anti-de Sitter spacetime geometry. Here, the implications of our results on the understanding of early stages of heavy ion collisions, including the development of transverse radial flow, are discussed.

- Authors:

- Harvard Univ., Cambridge, MA (United States)
- Univ. of Washington, Seattle, WA (United States)

- Publication Date:

- Research Org.:
- Univ. of Washington, Seattle, WA (United States)

- Sponsoring Org.:
- USDOE

- OSTI Identifier:
- 1436116

- Grant/Contract Number:
- SC0011637

- Resource Type:
- Accepted Manuscript

- Journal Name:
- Journal of High Energy Physics (Online)

- Additional Journal Information:
- Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2015; Journal Issue: 10; Journal ID: ISSN 1029-8479

- Publisher:
- Springer Berlin

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 79 ASTRONOMY AND ASTROPHYSICS; Quark-Gluon Plasma; Gauge-gravity correspondence; Classical Theories of Gravity

### Citation Formats

```
Chesler, Paul M., and Yaffe, Laurence G. Holography and off-center collisions of localized shock waves. United States: N. p., 2015.
Web. doi:10.1007/JHEP10(2015)070.
```

```
Chesler, Paul M., & Yaffe, Laurence G. Holography and off-center collisions of localized shock waves. United States. doi:10.1007/JHEP10(2015)070.
```

```
Chesler, Paul M., and Yaffe, Laurence G. Mon .
"Holography and off-center collisions of localized shock waves". United States. doi:10.1007/JHEP10(2015)070. https://www.osti.gov/servlets/purl/1436116.
```

```
@article{osti_1436116,
```

title = {Holography and off-center collisions of localized shock waves},

author = {Chesler, Paul M. and Yaffe, Laurence G.},

abstractNote = {Using numerical holography, we study the collision, at non-zero impact parameter, of bounded, localized distributions of energy density chosen to mimic relativistic heavy ion collisions, in strongly coupled N=4 supersymmetric Yang-Mills theory. Both longitudinal and transverse dynamics in the dual field theory are properly described. Using the gravitational description, we solve 5D Einstein equations with no dimensionality reducing symmetry restrictions to find the asymptotically anti-de Sitter spacetime geometry. Here, the implications of our results on the understanding of early stages of heavy ion collisions, including the development of transverse radial flow, are discussed.},

doi = {10.1007/JHEP10(2015)070},

journal = {Journal of High Energy Physics (Online)},

number = 10,

volume = 2015,

place = {United States},

year = {2015},

month = {10}

}

*Citation information provided by*

Web of Science

Web of Science

#### Figures / Tables:

*T*

^{00}(top) and energy flux |

*T*

^{0i}| (bottom), at four different times, in the plane

*y*= 0. Streamlines in the lower plots denote the direction of energy flux. Note that the color scaling varies from plot to plot. At the initial time

*t*= −2more »

Works referenced in this record:

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##
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##
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Works referencing / citing this record:

##
Asymmetric shockwave collisions in AdS5

journal, August 2019

- Waeber, Sebastian; Rabenstein, Andreas; Schäfer, Andreas
- Journal of High Energy Physics, Vol. 2019, Issue 8

Figures / Tables found in this record:

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