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In this work, we study quantum fluctuations in the stress energy tensor ofspinor fields evolving in general FRW spacetimes. We quantify thesefluctuations by the noise kernel of spinor fields. For the particular case ofde Sitter spacetime, we place the spinor field in what is called the fermionicBunch Davies vacuum and study the variation of the noise kernel with the massof the field. We then make use of the conformal invariance of massless spinorfields and employ an equivalence that relates a massless spinor field in anygiven FRW spacetime with a corresponding massless spinor field in de Sitterspacetime. Using this equivalence, we study the behaviour of the noise kernelof massless spinor fields in general FRW spacetimes while placing the fields inthe Bunch Davies vacuum of the corresponding massless spinor field of the deSitter spacetime. We extend this analysis to the coordinate invariant quantityof the energy energy correlator. We compare these results for spinor fields inconsidered spacetimes with the analogous results for scalar fields. This studyhelps us better understand whether the spin 1/2 fermionic matter remainsstrongly correlated in considered spacetimes leading to considerablebackreaction or not.

Fluctuations in the stress energy tensor of spinor fields evolving in general FRW spacetimes