Quantum Properties of Periodic Instantons on a Circle
Avtandil Shurgaia

TL;DR
This paper investigates the quantum characteristics of a scalar field theory on a cylindrical spacetime, focusing on classical periodic solutions and estimating the lifetime of quantum periodic instantons.
Contribution
It provides a detailed analysis of quantum effects around classical periodic solutions and estimates the lifetime of quantum periodic instantons in a (1+1)-dimensional scalar theory.
Findings
Quantum properties of periodic instantons are characterized.
Lifetime of quantum periodic instantons is estimated.
Analysis enhances understanding of quantum effects in compactified scalar theories.
Abstract
Quantum properties of a (1+1)-dimensional scalar theory on a cylinder with a compact spatial part, namely, , are considered. In particular, quantum theory around the classical periodic field configurations is studied and the lifetime of a quantum periodic instanton is estimated.
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