Quantum fluctuations and thermal dissipation in higher derivative gravity

TL;DR

This paper investigates how higher derivative gravity corrections influence quantum fluctuations and thermal diffusion in strongly coupled one-dimensional CFTs via AdS/CFT, revealing enhanced quantum effects and a crossover at z=5.

Contribution

It analyzes the impact of higher derivative corrections on quantum two-point functions and thermal diffusion in extremal black hole backgrounds, highlighting quantum fluctuation enhancement and a critical crossover.

Findings

Quantum fluctuations are amplified by higher derivative corrections.

A crossover at the z=5 fixed point is observed.

Finite coupling effects modify thermal diffusion coefficients.

Abstract

In this paper, based on the $ AdS_{2}/CFT_{1} $ prescription, we explore the low frequency behavior of quantum two point functions for a special class of strongly coupled CFTs in one dimension whose dual gravitational counterpart consists of \textit{extremal} black hole solutions in higher derivative theories of gravity defined over an asymptotically AdS space time. The quantum critical points thus described are supposed to correspond to a very large value of the dynamic exponent ($ z\rightarrow \infty $). In our analysis, we find that quantum fluctuations are enhanced due to the higher derivative corrections in the bulk which in turn increases the possibility of quantum phase transition near the critical point. On the field theory side, such higher derivative effects would stand for the corrections appearing due to the finite coupling in the gauge theory. Finally, we compute the coefficient of thermal diffusion at finite coupling corresponding to Gauss Bonnet corrected charged Lifshitz black holes in the bulk. We observe an important crossover corresponding to $ z=5 $ fixed point.