Vacuum polarization of a scalar field on Lie groups and homogeneous spaces

DOI10.1007/S11232-011-0035-9zbMath1274.81174OpenAlexW2139996139WikidataQ115380605 ScholiaQ115380605MaRDI QIDQ376915

A. I. Breev, Alexey A. Magazev, Igor V. Shirokov

Publication date: 6 November 2013

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11232-011-0035-9

zbMATH Keywords

harmonic analysisenergy-momentum tensorvacuum polarization

Mathematics Subject Classification ID

Quantum field theory on curved space or space-time backgrounds (81T20) Lie groups (22E99) Casimir effect in quantum field theory (81T55)

Related Items (4)

Integrating Klein-Gordon-Fock equations in an external electromagnetic field on Lie groups ⋮ Noncommutative integration of the Klein-Gordon equation in electromagnetic fields admitting functional arbitrariness ⋮ Scalar field vacuum polarization on homogeneous spaces with an invariant metric ⋮ Vacuum quantum effects on Lie groups with bi-invariant metrics

Cites Work

• Unnamed Item
• The method of noncommutative integration for linear differential equations. Functional algebras and noncommutative dimensional reduction
• Darboux coordinates on \(K\)-orbits and the spectra of Casimir operators on Lie groups
• Noncommutative integration of linear differential equations
• The characters of unitary representations of Lie groups
• UNITARY REPRESENTATIONS OF NILPOTENT LIE GROUPS

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