Vacuum quantum effects on Lie groups with bi-invariant metrics
DOI10.1142/S0219887819501226zbMath1421.83045arXiv1906.01826WikidataQ115245327 ScholiaQ115245327MaRDI QIDQ5233066
A. I. Breev, Alexander Shapovalov
Publication date: 13 September 2019
Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1906.01826
Lie groupsvacuum polarizationorbit methodparticle creationFriedmann-Robertson-Walker modelnoncommutative integration method
Methods of quantum field theory in general relativity and gravitational theory (83C47) Noncommutative measure and integration (46L51) Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Space-time singularities, cosmic censorship, etc. (83C75) Compact groups (22C05) Exact solutions to problems in general relativity and gravitational theory (83C15) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03) Casimir effect in quantum field theory (81T55)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Particle creation in the early universe: achievements and problems
- Vacuum polarization of a scalar field on Lie groups and homogeneous spaces
- Vacuum polarization of a scalar field on the nonunimodular Lie groups
- Polarization of a scalar field vacuum on a manifold conformally equivalent to the manifold \(R \otimes G\)
- Quantum effects in ``mixmaster universe.
- Darboux coordinates on \(K\)-orbits and the spectra of Casimir operators on Lie groups
- Noncommutative integration of linear differential equations
- A class of homogeneous cosmological models
- Prolongations of vector fields on Lie groups and homogeneous spaces
- Noether symmetry approach in Gauss–Bonnet cosmology
- Exact Solutions of Einstein's Field Equations
- Quantum Scalar Field in the FRW Universe with a Constant Electromagnetic Background
- Noether symmetries as a geometric criterion to select theories of gravity
- Particle production in de Sitter space
- Cosmological constant problem and renormalized vacuum energy density in curved background
- Quantum Fields in Curved Space
- New developments in the Casimir effect
- Nonconformal scalar field in a homogeneous isotropic space and the Hamiltonian diagonalization method
This page was built for publication: Vacuum quantum effects on Lie groups with bi-invariant metrics
