Vacuum stability and the Cholesky decomposition

2011/02/14 by James Unwin · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Quantum Chromodynamics and Particle Interactions #hep-ph #hep-th

paper · pdf · doi:10.1140/epjc/s10052-011-1663-9

published as Eur.Phys.J.C71:1663,2011 · 7 pages

arxiv created 2011/02/14 · openalex publication_date 2011/05/01 · arxiv updated 2011/06/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/31

Abstract

We discuss how the Cholesky decomposition may be used to ascertain whether a critical point of the field theory scalar potential provides a stable vacuum configuration. We then use this method to derive the stability conditions in a specific example.

Citations

• Stability and symmetry breaking in the general two-Higgs-doublet model

Cited by

• Three-Higgs-doublet models: symmetries, potentials and Higgs boson masses

Related

• Theorem on vacuum stability
• Note on "Vacuum stability of a general scalar potential of a few fields"
• Rebuttal of 'Note on "Vacuum stability of a general scalar potential of a few fields"'
• Vacuum stability of the scalar potential in the compact 341 model
• Vacuum Stability in the Standard Model and Beyond