Abstract

In realistic model-building, spinor fields with various masses are present. During inflation, spinor field may induce gravitational waves as a second order effect. In this paper, we calculate the contribution of single massive spinor field to the power spectrum of primordial gravitational wave by using retarded Green propagator. We find that the correction is scale-invariant and of order H4/MP4H^4/M_P^4 for arbitrary spinor mass mψm_ψ. Additionally, we also observe that when mψ≳Hm_ψ\gtrsim H, the dependence of correction on mψ/Hm_ψ/H is nontrivial.

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