Abstract
We evaluate the effect of quantum electrodynamics on the correlations between Dirac field modes corresponding electron-positron pairs of opposite momenta generated by expansion of an asymptotically flat Friedmann-Robertson-Walker (FRW) universe. The mutual information of out-going electron-positron pairs is evaluated to leading order in the coupling strength and compared with the free case. It is shown a decrease in the mutual information between the electron and positron. In addition, it is found that the change in the electron-positron mutual information depends on how the momentum is distributed between the positron and photon modes.
Highlights
Gravitational particle creation appeared as a fundamental process in early works on particle creation by black holes and black hole evaporation by S
We evaluate the effect of quantum electrodynamics on the correlations between Dirac field modes corresponding electron-positron pairs of opposite momenta generated by expansion of an asymptotically flat Friedmann-Robertson-Walker (FRW) universe
The recent revival of the study of gravitational particle creation in a time-varying space-time background is partially motivated by the development of relativistic quantum information and precise data acquired from cosmic microwave background radiation
Summary
Gravitational particle creation appeared as a fundamental process in early works on particle creation by black holes and black hole evaporation by S. In [7] the entanglement of momentum modes ðp; −pÞ of a free quantum scalar field, produced by an expanding conformally flat 1 þ 1-dimensional FRW universe, was shown to contain information about cosmic parameters characterizing the space-time expansion. Because there exist fundamental differences in entanglement generation between opposite momenta of the produced particles due to their statistics, it is worth investigating the effect of interactions in the entanglement and correlations between Dirac particles This is the main purpose of this contribution which is organized as follows: in Sec. II we present the quantization of Dirac equation and the Maxwell field in a conformally flat curved space-time.
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