Quantum Properties of Periodic Instantons on a Circle

Abstract

Quantum properties of a (1+1)-dimensional scalar theory on a cylinder with a compact spatial part, namely, $0\le x\le L$, are considered. In particular, quantum theory around the classical periodic field configurations is studied and the lifetime of a quantum periodic instanton is estimated.

The lifetime of periodic instantons is estimated in a doublwell scalar model, 11 pages, a section 5 added, the large and small sizes of a circle are discussed, typos corrected

References in corpus (2)

• Quantization of Sine-Gordon solitons on the circle: semiclassical vs. exact results
• Space Symmetries and Quantum Behavior of Finite Energy Configurations in SU(2)-Gauge Theory