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Correlators for pseudo Hermitian systems
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DOI：10.1007/JHEP11(2024)161.png)
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摘要
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Pseudo-Hermitian system is a class of non-Hermitian system with Hamiltonian satisfying the condition eta-1H 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.
Keyword:
Cosmological models
de Sitter space
Early Universe Particle Physics
期刊
IF:
5.5
论文数:
4.0W
被引数:
13.7W
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