Dynamical renormalization group methods in theory of eternal inflation

TL;DR

This paper explores how dynamical renormalization group methods applied to the Martin-Siggia-Rose effective field theory can elucidate the late-time behavior of eternal inflation, potentially addressing gauge invariance issues.

Contribution

It introduces a novel application of RG fixed points within the MSR framework to analyze eternal inflation dynamics and gauge invariance.

Findings

RG fixed points determine late-time probability measures

MSR effective field theory describes vacuum dynamics

Potential resolution of gauge invariance problem

Abstract

Dynamics of eternal inflation on the landscape admits description in terms of the Martin-Siggia-Rose (MSR) effective field theory that is in one-to-one correspondence with vacuum dynamics equations. On those sectors of the landscape, where transport properties of the probability measure for eternal inflation are important, renormalization group fixed points of the MSR effective action determine late time behavior of the probability measure. I argue that these RG fixed points may be relevant for the solution of the gauge invariance problem for eternal inflation.