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Iterated φ4 kinks

delete2019-10-08
delete16
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OA
AI
N
N. S. Manton *
K
K. Oleś
A
A. Wereszczyński
DOI:10.1007/JHEP10(2019)086delete
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Abstract

Abstract

En 中文
A first order equation for a static phi(4) kink in the presence of an impurity is extended into an iterative scheme. At the first iteration, the solution is the standard kink, but at the second iteration the kink impurity generates a kink-antikink solution or a bump solution, depending on a constant of integration. The third iterate can be a kink-antikink-kink solution or a single kink modified by a variant of the kink's shape mode. All equations are first order ODEs, so the nth iterate has n moduli, and it is proposed that the moduli space could be used to model the dynamics of n kinks and antikinks. Curiously, fixed points of the iteration are phi(6) kinks.
Keywords:
Nonperturbative Effects
Solitons Monopoles and Instantons
Effective Field Theories

Journal

Journal of High Energy Physics cover
Journal of High Energy Physics
IF:
5.5
Papers:
3.9W
Citations:
13.7W

Organization

J
jagiellonian university
Scholars:
2.2W
Papers: 1.8W
Citations: 11
U
University of Cambridge
Scholars:
7.7W
Papers: 7.1W
Citations: 13.7W