Spatial Compactification and Decay-Rate Behavior

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.

12 pages, 6 postscript figures included, accepted version in PLB

References in corpus (2)

• Periodic Euclidean Solutions of SU(2)-Higgs Theory
• Critical value of symmetry breaking parameter in the phase transition of decay rate

Cited by in corpus (3)

• Winding Number Transitions in the Mottola-Wipf Model on a Circle
• Winding number transitions at finite temperature in the Abelian-Higgs model
• Instanton-Sphaleron transition in the d = 2 Abelian-Higgs model on a Circle