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.

arXiv commentThe 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 (5)

• Spontaneously Broken Translational Invariance of Compactified Space
• Kink scaling functions in 2D non--integrable quantum field theories
• Quantum mass correction for the twisted kink
• 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