Correlators for pseudo Hermitian systems

Autor: Yao Bai, Ting-Long Feng, Suro Kim, Cheng-Yang Lee, Lei-Hua Liu, Wangping Zhao, Siyi Zhou
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Journal of High Energy Physics, Vol 2024, Iss 11, Pp 1-19 (2024)
Druh dokumentu: article
ISSN: 1029-8479
DOI: 10.1007/JHEP11(2024)161
Popis: Abstract Pseudo-Hermitian system is a class of non-Hermitian system with Hamiltonian satisfying the condition η −1 H † η = 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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