Programme

I.2 -- Invited, VCTP-49

Date: Tuesday, 30 July 2024

Time: 11:10 - 11:50

On the monotonicity of the renormalization group flow in nonequilibrium thermodynamics perspectives

Kim Ki-Seok

Pohang University of Science and Technology

Following the entropy production description in nonequilibrium thermodynamics, we show the monotonicity of the renormalization group (RG) flow. In particular, we clarify the connection between the monotonicity of the RG flow (a- or c-theorem) and the entropy production (irreversibility). To investigate the monotonicity of the RG flow in the perspectives of nonequilibrium thermodynamics, we construct a holographic dual effective field theory of the cohomological type a la Witten, which manifests the RG flow in the level of an effective action. This effective field theory framework allows us to introduce various kinds of entropy functionals, where their monotonic behaviors play a central role in the monotonicity of the RG flow. We discuss how the Gibbs-type entropy functional, the holographic entropy functional, the Perelman’s entropy functional, and the Weyl anomaly are all deeply related, based on our holographic dual effective field theory.

Presenter: Ki-Seok Kim