Spatial Compactification and Decay-Rate Behavior

TL;DR

This paper investigates how the transition from quantum tunneling to classical behavior in a (1+1)-dimensional scalar field theory depends on the compactification of space, revealing a critical dependence on spatial circumference.

Contribution

It demonstrates the critical influence of spatial compactification on the sphaleron transition type in scalar field theory.

Findings

Transition type depends on spatial circumference

Critical behavior identified at specific circumference values

Insights into quantum-classical crossover mechanisms

Abstract

The pahse transition from instanton-dominated quantum tunneling regime to sphaleron-dominated classical crossover regime is explored in (1+1)-dimensional scalar field theory when spatial coordinate is compactified. It is shown that the type of sphaleron transition is critically dependent on the circumference of the spatial coordinate.