Abstract
We study the effective dynamics of an open scalar field interacting with a strongly-coupled two-dimensional rotating CFT plasma. The effective theory is determined by the real-time correlation functions of the thermal plasma. We employ holographic Schwinger-Keldysh path integral techniques to compute the effective theory. The quadratic effective theory computed using holography leads to the linear Langevin dynamics with rotation. The noise and dissipation terms in this equation get related by the fluctuation-dissipation relation in presence of chemical potential due to angular momentum. We further compute higher order terms in the effective theory of the open scalar field. At quartic order, we explicitly compute the coefficient functions that appear in front of various terms in the effective action in the limit when the background plasma is slowly rotating. The higher order effective theory has a description in terms of the non-linear Langevin equation with non-Gaussianity in the thermal noise.
Highlights
We study the effective dynamics of an open scalar field interacting with a strongly-coupled two-dimensional rotating CFT plasma
We study the effects coming from integrating out the bath degrees of freedom on the effective action of the open scalar field theory
This way we evaluate the parameters in the non-linear Langevin equation in terms of the effective couplings computed from holography
Summary
Before we start reviewing the holographic SK path integral framework of [15], let us describe the path integral contour in the boundary CFT on which the CFT correlation functions are defined. The branch-cut of the hypergeometric function runs from r = rh to r = ∞ With this set up, one has to consider all bulk fields to live on a complex ζ space and think of the classical bulk action to be a contour integral over the complex tortoise coordinate ζ. Since we will be interested in the region outside the future horizon r+, we will consider the complexified doubled bulk spacetime as shown in figure 3. We will glue two copies of rotating BTZ black holes across their future horizon by a horizon cap and the monodromy in χ across the branch point at r = r+ will be one. The CFT contour for a given initial state at finite temperature and chemical potential for angular momentum in this case is described as in figure 4 (following [14]). In this paper we are interested in computing the generating functional for CFT correlators holographically for a given initial state at finite temperature and chemical potential due to angular momentum
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
