Discrete symmetries of chaotic strings

TL;DR

This paper explores the discrete symmetries of chaotic strings, revealing how their dynamics can be transformed into each other and analyzing the convergence of expectation values in different coupling regions.

Contribution

It identifies discrete symmetry transformations in chaotic strings and studies their impact on the stability and convergence of correlation functions.

Findings

Chaotic string dynamics can be related through simple discrete transformations.

Stable zeros of the correlation function correspond to ergodic states.

Expectation values show convergence behavior depending on coupling parameters.

Abstract

Chaotic strings are particular classes of coupled map lattices that can serve as models for vacuum fluctuations in stochastically quantized field theories. They have been previously shown to distinguish standard model coupling parameters as corresponding to states of strongest possible chaotic behaviour and vanishing nearest-neighbour correlation. In this paper we look at discrete symmetry transformations for chaotic strings. We show that several of the chaotic string dynamics can be transformed into each other by simple discrete coordinate transformations. We investigate how expectation values converge in the various coupling parameter regions and single out those stable zeros of the correlation function that correspond to ergodic states with well-defined convergence properties.