Abstract
Abstract: 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.
Original language | English |
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Article number | 136 |
Journal | Journal of High Energy Physics |
Volume | 2016 |
Issue number | 4 |
DOIs | |
State | Published - 1 Apr 2016 |
Keywords
- AdS-CFT Correspondence
- Gauge-gravity correspondence
- Holography and condensed matter physics (AdS/CMT)
- Holography and quark-gluon plasmas
ASJC Scopus subject areas
- Nuclear and High Energy Physics