Fluctuations in the stress energy tensor of spinor fields evolving in general FRW spacetimes
arXiv:2203.03667 · doi:10.1103/PhysRevD.106.023518
Abstract
In this work, we study quantum fluctuations in the stress energy tensor of spinor fields evolving in general FRW spacetimes. We quantify these fluctuations by the noise kernel of spinor fields. For the particular case of de Sitter spacetime, we place the spinor field in what is called the fermionic Bunch Davies vacuum and study the variation of the noise kernel with the mass of the field. We then make use of the conformal invariance of massless spinor fields and employ an equivalence that relates a massless spinor field in any given FRW spacetime with a corresponding massless spinor field in de Sitter spacetime. Using this equivalence, we study the behaviour of the noise kernel of massless spinor fields in general FRW spacetimes while placing the fields in the Bunch Davies vacuum of the corresponding massless spinor field of the de Sitter spacetime. We extend this analysis to the coordinate invariant quantity of the energy energy correlator. We compare these results for spinor fields in considered spacetimes with the analogous results for scalar fields. This study helps us better understand whether the spin 1/2 fermionic matter remains strongly correlated in considered spacetimes leading to considerable backreaction or not.
arXiv comment16 pages
References in corpus (41)
- A Phantom Menace? Cosmological consequences of a dark energy component with super-negative equation of state
- Non-Gaussianity from Inflation: Theory and Observations
- Quantum Contributions to Cosmological Correlations
- Planck 2013 results. XV. CMB power spectra and likelihood
- Cosmological Dynamics of Phantom Field
- Production of Massive Fermions at Preheating and Leptogenesis
- Leading Log Solution for Inflationary Yukawa
- Stochastic Gravity: Theory and Applications
- The Fermion Self-Energy during Inflation
- Phantom Cosmologies
- Preheating of massive fermions after inflation: analytical results
- Fermion production during and after axion inflation
- Gravitons Enhance Fermions during Inflation
- Production of Massless Fermions during Inflation
- Initial state effects on the cosmic microwave background and trans-planckian physics
- Fermion Mass Generation in de Sitter Space
- The Effects of Stress Tensor Fluctuations upon Focusing
- Stress tensor fluctuations in de Sitter spacetime
- Yukawa Scalar Self-Mass on a Conformally Flat Background
- Fermion Propagator in Cosmological Spaces with Constant Deceleration
- Effective action for the Yukawa model in curved spacetime
- Stochastic Background of Gravitational Waves from Fermions -- Theory and Applications
- Quantum Gravitational Effects on Massive Fermions during Inflation I
- Noise kernel for a quantum field in Schwarzschild spacetime under the Gaussian approximation
- Possible Constraints on the Duration of Inflationary Expansion from Quantum Stress Tensor Fluctuations
- Minkowski Vacuum Stress Tensor Fluctuations
- Quantum Stress Tensor Fluctuations of a Conformal Field and Inflationary Cosmology
- Quantum Correlators in Friedmann Spacetimes -The omnipresent de Sitter and the invariant vacuum noise
- The enhancement of inflaton loops in an alpha-vacuum
- Fermionic alpha-vacua
- Ultraviolet Regularisation in de Sitter Space
- Gravity Waves from Quantum Stress Tensor Fluctuations in Inflation
- IR Divergence in Inflationary Tensor Perturbations from Fermion Loops
- Gauged Yukawa model in curved spacetime
- An exact solution of the Dirac equation with CP violation
- Noise Kernel for Self-similar Tolman Bondi Metric: Fluctuations on Cauchy Horizon
- Gravitational waves induced by spinor fields
- Stress energy correlator in de Sitter space-time : its conformal masking or growth in connected Friedmann universes
- Space and Time Averaged Quantum Stress Tensor Fluctuations
- Fully renormalized stress tensor correlator in flat space
- Quantum Stress Tensor Fluctuations and Primordial Gravity Waves