Numerical Study of Solitary Waves in Dirac-Klein-Gordon System
Published:Dec 31, 2025 16:34
•1 min read
•ArXiv
Analysis
This paper investigates solitary waves within the Dirac-Klein-Gordon system using numerical methods. It explores the relationship between energy, charge, and a parameter ω, employing an iterative approach and comparing it with the shooting method for massless scalar fields. The study utilizes virial identities to ensure simulation accuracy and discusses implications for spectral stability. The research contributes to understanding the behavior of these waves in both one and three spatial dimensions.
Key Takeaways
- •Uses numerical methods to study solitary waves in the Dirac-Klein-Gordon system.
- •Investigates the relationship between energy, charge, and a parameter ω.
- •Employs an iterative procedure and compares it with the shooting method.
- •Utilizes virial identities to control simulation error.
- •Discusses implications for spectral stability.
Reference
“The paper constructs solitary waves in Dirac--Klein--Gordon (in one and three spatial dimensions) and studies the dependence of energy and charge on $ω$.”