phi^4 Kinks - Gradient Flow and Dynamics
N. S. Manton, H. Merabet
TL;DR
This paper investigates the dynamics of kink-antikink interactions in (1+1)-dimensional phi^4 theory using gradient flow to develop a collective coordinate model, linking vibrational modes to pair production.
Contribution
It introduces a collective coordinate model derived from gradient flow to analyze kink-antikink dynamics and their vibrational modes in phi^4 theory.
Findings
Gradient flow effectively constructs a collective coordinate model.
Vibrational modes are related to kink-antikink pair production.
The model provides insights into symmetric kink-antikink interactions.
Abstract
The symmetric dynamics of two kinks and one antikink in classical (1+1)-dimensional theory is investigated. Gradient flow is used to construct a collective coordinate model of the system. The relationship between the discrete vibrational mode of a single kink, and the process of kink-antikink pair production is explored.
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