arXiv Open Access 2023

Techniques for Solving Static Klein-Gordon Equation with Self-Interaction $λφ^4$ and Arbitrary Spherical Source Terms

Peter B. Denton

Lihat Sumber

Abstrak

The Klein-Gordon equation for a scalar field sourced by a static spherically symmetric background is an interesting second-order differential equation with applications in particle physics, astrophysics, and elsewhere. Here we present static solutions for generic source density profiles in the case where the scalar field has no interactions or a mass term. For a $λφ^4$ self-interaction term, we develop the techniques that are necessary numerical computation. We also provide code to perform the numerical calculations that can be adapted for arbitrary density profiles.

Topik & Kata Kunci

physics.comp-ph hep-ph physics.class-ph

Penulis (1)

Peter B. Denton

Format Sitasi

APA MLA BibTeX

Denton, P.B. (2023). Techniques for Solving Static Klein-Gordon Equation with Self-Interaction $λφ^4$ and Arbitrary Spherical Source Terms. https://arxiv.org/abs/2301.11106

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2023
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓