Massive particle pair production and oscillation in Friedman Universe: its effect on inflation

Understand

We study the classical Friedman equations for the time-varying cosmological term $\tilde\Lambda$ and Hubble function $H$, together with quantised field equations for the production of massive $M\gg H$ particles, namely, the $\tilde\Lambda$CDM scenario of dark energy and matter interactions.

• Classical slow components ${\mathcal O}(H^{-1})$ are separated from quantum fast components ${\mathcal O}(M^{-1})$.
• The former obeys the Friedman equations, and the latter obeys a set of nonlinear differential equations.
• Numerically solving equations for quantum fast components, we find the production and oscillation of massive particle-antiparticle pairs in microscopic time scale ${\mathcal O}(M^{-1})$.