Vacuum quantum effects on Lie groups with bi-invariant metrics
arXiv:1906.01826 · doi:10.1142/S0219887819501226
Abstract
We consider the effects of vacuum polarization and particle creation of a scalar field on Lie groups with a non-stationary bi-invariant metric of the Robertson-Walker type. The vacuum expectation values of the energy momentum tensor for a scalar field determined by the group representation are found using the noncommutative integration method for the field equations instead of separation of variables. The results obtained are illustrated by the example of the three-dimensional rotation group.
arXiv comment28 pages, version accepted for publication in Int. J. Geom. Methods Mod. Phys
References in corpus (13)
- Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
- New Developments in the Casimir Effect
- Hamiltonian dynamics and Noether symmetries in Extended Gravity Cosmology
- Conformal symmetry and accelerating cosmology in teleparallel gravity
- Noether Symmetry Approach in Gauss-Bonnet Cosmology
- Noether Symmetries as a geometric criterion to select theories of gravity
- Fermionic condensate and Casimir densities in the presence of compact dimensions with applications to nanotubes
- Stress-Energy Tensor of Adiabatic Vacuum in Friedmann-Robertson-Walker Spacetimes
- Quantum scalar field in FRW Universe with constant electromagnetic background
- Nonconformal Scalar Field in a Homogeneous Isotropic Space and the Method of Hamiltonian Diagonalization
- Cosmological Constant Problem and Renormalized Vacuum Energy Density in Curved Background
- Particle creation in the early Universe: achievements and problems
- Creation of the Nonconformal Scalar Particles in Nonstationary Metric