$U(1)$ current from the AdS/CFT: diffusion, conductivity and causality - INSPIRE

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$U(1)$ current from the AdS/CFT: diffusion, conductivity and causality

Yanyan Bu
(
- Ben Gurion U. of Negev
)
,
Michael Lublinsky
(
- Ben Gurion U. of Negev and
- Connecticut U.
)
,
Amir Sharon
(
- Ben Gurion U. of Negev
)

Nov 27, 2015

26 pages

Published in:

JHEP 04 (2016) 136

Published: Apr 21, 2016

e-Print:

1511.08789 [hep-th]

DOI:

10.1007/JHEP04(2016)136

View in:

ADS Abstract Service

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Abstract: (Springer)

For a holographically defined finite temperature theory, we derive an off-shell constitutive relation for a global U(1) current driven by a weak external non-dynamical electromagnetic field. The constitutive relation involves an all order gradient expansion resummed into three momenta-dependent transport coefficient functions: diffusion, electric conductivity, and “magnetic” conductivity. These transport functions are first computed analytically in the hydrodynamic limit, up to third order in the derivative expansion, and then numerically for generic values of momenta. We also compute a diffusion memory function, which, as a result of all order gradient resummation, is found to be causal.

Note:

v1: 26 pages, 12 figures; v2: 29 pages, 9 multi-figures, revised section 6, added one summary(section 7) and one appendix, to be published in JHEP

AdS-CFT Correspondence
Gauge-gravity correspondence
Holography and condensed matter physics (AdS/CMT)
Holography and quark-gluon plasmas
conductivity: electric
expansion: gradient
expansion: derivative
higher-order: 3
hydrodynamics: relativistic
AdS/CFT correspondence

References(58)

Figures(27)

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