Holographic thermalization with chemical potential

By E. Cáceres, Arnab Kundu. 2012

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A bstractWe study the thermalization of a strongly coupled quantum field theory in the presence of a chemical potential. More precisely, using the holographic prescription, we calculate non-local operators such as two point function, Wilson loop and entanglement entropy in a time-dependent background that interpolates between AdSd+1 and AdSd+1-Reissner-Nordström for d = 3, 4. We find that it is the entanglement entropy that thermalizes the latest and thus sets a time-scale for equilibration in the field theory. We study the dependence of the thermalization time on the probe length and the chemical potential. We find an interesting non-monotonic behavior. For a fixed small value of Tℓ and small values of μ/T the thermalization time decreases as we increase μ/T, thus the plasma thermalizes faster. For large values of μ/T the dependence changes and the thermalization time increases with increasing μ/T. On the other hand, if we increase the value of (Tℓ) this non-monotonic behavior becomes less pronounced and eventually disappears indicating two different regimes for the physics of thermalization: non-monotonic dependence of the thermalization time on the chemical potential for Tℓ ≪ 1 and monotonic for Tℓ ≫ 1.

Subfields: Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/0033ea60904b8cc6ada7f6588bc958167dc734fd

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In Atomic and Molecular Physics, and Optics

  1. P. Nguyen
  2. J. F. Pedraza
  3. E. Cáceres

In Nuclear and High Energy Physics

  1. P. Nguyen
  2. J. F. Pedraza
  3. E. Cáceres

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