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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2408.02276 |
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Table of Contents:
- 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, $λ_{σϕ}σ^\dagger σϕ^{2}$ and $ξ_{σϕ}σ^\dagger σ\left(\partial_μϕ\right)^{2}$. We evaluate $ϕ$ one-loop corrections $δV(σ)$ to the effective potential of $σ$, both the contribution from the positive norm part of $ϕ$ and that from the {\it negative norm part} (ghost). We show that $δV(σ_{\rm cl})$ at $σ_{\rm cl}\to \infty$, where $σ_{\rm cl}$ is a classical value of $σ$, is positive, implying the stability of $δV(σ_{\rm cl})$ by the HD 1-loop radiative corrections at high energy.