Abstract
Title: "The covariant Wigner transformation in semiclassical gravity"
Abstract:
We consider the quark-gluon phase of the early universe. Iterating
the Dirac equation leads a Klein-Gordon approach, which can be successfully
covariantly Wigner-Weyl transformed in curved background spacetime. In the
semiclassical approach the mean Einstein equation with first-order quantum
corrections can be calculated on phase space. Under high symmetry a
singularity-free cosmological solution is found with negative pressure. The
quantum effect is out of the scope of the measurement precision of the
cosmic microwave background radiation. An extension of the methods to a
model for Sgr A* leading chromohydrodynamics for non-abelian symmetry is
proposed.