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arXiv · 2408.07506

Correlators for pseudo Hermitian systems

Yao Bai·Ting-Long Feng·Suro Kim·Cheng-Yang Lee·Lei-Hua Liu·Wangping Zhao·Siyi Zhou
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Abstract

Pseudo-Hermitian system is a class of non-Hermitian system with Hamiltonian satisfying the condition $\eta^{-1}H^\dagger\eta=H$. We develop the in-in and Schwinger Keldysh formalism to calculate cosmological correlators for pseudo-Hermitian systems. We study a model consists of massive symplectic fermions coupled to the primordial curvature perturbation. The three-point function for the primordial curvature perturbation is computed up to one-loop and compared to earlier work where the loop correction comes from a massive scalar boson. The two results differ by a minus sign. Therefore, the one loop correction to the three-point function cannot be used to distinguished scalar bosons and symplectic fermions. To conclude, we discuss possibilities where the scalar bosons and symplectic fermions may be distinguished.

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Yao Bai, Ting-Long Feng, Suro Kim, Cheng-Yang Lee, Lei-Hua Liu, Wangping Zhao, Siyi Zhou. 2024-08-14. Correlators for pseudo Hermitian systems. https://arxiv.org/abs/2408.07506

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