A globally convergent method for computing multiple vortices in a supersymmetric field theory |
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Authors: | Shouxin Chen Chenmei Xu |
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Affiliation: | 1. Institute of Contemporary Mathematics, Henan University, Kaifeng, Henan 475004, PR China;2. College of Mathematics and Information Science, Henan University, Kaifeng, Henan 475004, PR China |
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Abstract: | Computation of the solutions to the gauge field equations is known of great importance for the simulation of various particle physics systems. In this work, we establish a globally convergent iterative method for computing the multiple vortex solutions arising in a self-dual system of non-Abelian gauge field equations derived in a supersymmetric theory model. Using this method, we present a few numerical examples which demonstrate the effectiveness of the method and, at the same time, provide a concrete realization of the soliton-like behavior of the vortexlines concentrated around centers of vortices, which is believed to be essential for linear confinement in QCD. |
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Keywords: | Non-Abelian gauge field theory Vortices Bogomol?nyi equations Maximum principle Bounded domain truncation Iterative scheme Numerical solutions |
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