Renyi entropy of the critical O(N) model

TL;DR

This paper investigates the Renyi entropy in the critical O(N) model under alternate quantization, revealing new saddle points and analyzing the true ground state among them.

Contribution

It introduces a novel prescription for evaluating Renyi entropy with alternate quantization and identifies new saddle points in the free energy landscape.

Findings

Existence of new saddle points in the q-Renyi free energy functional.

Identification of conditions for the global minima among saddle points.

Insights into the true state of the theory via saddle point analysis.

Abstract

In this article we explore a certain definition of "alternate quantization" for the critical O(N) model. We elaborate on a prescription to evaluate the Renyi entropy of alternately quantized critical O(N) model. We show that there exists new saddles of the q-Renyi free energy functional corresponding to putting certain combinations of the Kaluza-Klein modes into alternate quantization. This leads us to an analysis of trying to determine the true state of the theory by trying to ascertain the global minima among these saddle points.