UV stability of one-loop radiative corrections in higher-derivative scalar field theory
Abstract
We consider the theory of a higher-derivative (HD) real scalar field ϕ coupled to a complex scalar σ , the coupling of the ϕ and σ being given by two types, λ σ ϕ σ † σ ϕ 2 and ξ σ ϕ σ † σ ( ∂ μ ϕ ) 2 . We evaluate ϕ one-loop corrections δ V ( σ ) to the effective potential of σ , both the contribution from the positive norm part of ϕ and that from the (ghost). We show that δ V ( σ cl ) at σ cl → ∞ , where σ cl is a classical value of σ , is positive, implying the stability of δ V ( σ cl ) by the HD one-loop radiative corrections at high energy.
Fields of Study & Subjects
Cosmology and Gravitation Theories
Black Holes and Theoretical Physics
Noncommutative and Quantum Gravity Theories
Publication details
- Journal / source
- Physical review. D/Physical review. D.
- Volume
- 113
- Issue
- 1
- Publication date
- 2 January 2026
- Language
- EN