Regge theory and statistical mechanics

TL;DR

This paper explores the deep connections between Regge theory, scattering amplitudes, statistical mechanics, and nonextensive entropy, proposing a unified mathematical framework that explains nonextensivity and its physical origins.

Contribution

It introduces a novel framework linking Regge theory, the Veneziano amplitude, and nonextensive entropy, providing new insights into the physical basis of nonextensivity.

Findings

Standard and Renyi entropies are limits of a single mathematical object.

The framework offers a new perspective on the origin of nonextensivity.

An outline of application to spin glass theory is provided.

Abstract

An interesting connection between the Regge theory of scattering, the Veneziano amplitude, the Lee-Yang theorems in statistical mechanics and nonextensive Renyi entropy is addressed. In this scheme the standard entropy and the Renyi entropy appear to be different limits of a unique mathematical object. This framework sheds light on the physical origin of nonextensivity. A non trivial application to spin glass theory is shortly outlined.