Logo
ScienceStack
Table of Contents
Fetching ...
Sign In

Second order hydrodynamics of a CFT plasma from boost invariant expansion

Alex Buchel, Miguel Paulos

Abstract

We compute finite coupling correction to a nonlinear second order hydrodynamic coefficient in the boost invariant expansion of the N=4 supersymmetric Yang-Mills plasma. The result is universal for a large class of strongly coupled four dimensional conformal gauge theories.

Second order hydrodynamics of a CFT plasma from boost invariant expansion

Abstract

We compute finite coupling correction to a nonlinear second order hydrodynamic coefficient in the boost invariant expansion of the N=4 supersymmetric Yang-Mills plasma. The result is universal for a large class of strongly coupled four dimensional conformal gauge theories.

Paper Structure

This paper contains 15 sections, 101 equations.

Table of Contents

  1. Introduction and summary
  2. Janik-Peschanski dual to a boost invariant plasma expansion
  3. Equations of motion and solutions for $\{\hat{a}_3,\hat{b}_3,\hat{c}_3,\hat{\alpha}_3,\hat{\phi}_3\}$
  4. ${\cal R}$ at order ${\cal O}(\tau^{-2})$
  5. ${\cal R}_{\mu\nu\rho\lambda}{\cal R}^{\mu\nu\rho\lambda}$ at order ${\cal O}(\tau^{-2})$
  6. ${\cal R}_{\mu\nu}{\cal R}^{\mu\nu}$ at order ${\cal O}(\tau^{-2})$
  7. Higher order curvature invariants
  8. $\lambda_1$ for the Bjorken flow of ${\cal N}=4$ SYM plasma
  9. Computation in the framework of Kinoshita et al
  10. Order - 0
  11. Order - 1
  12. Order - 2
  13. $\{a_2,b_2,c_2\}$ and $a_3$
  14. Data for computing ${\cal I}^{[2]W}_3$
  15. Source terms for the framework of Kinoshita et al