Vacuum polarization of a scalar field on Lie groups and homogeneous spaces. (English. Russian original) Zbl 1274.81174
Theor. Math. Phys. 167, No. 1, 468-483 (2011); translation from Teor. Mat. Fiz. 167, No. 1, 78-95 (2011).
Summary: We propose a method for calculating vacuum means of the scalar field energy-momentum tensor on Lie groups and homogeneous spaces. We use the generalized harmonic analysis based on the method of coadjoint representation orbits.
MSC:
| 81T20 | Quantum field theory on curved space or space-time backgrounds |
| 81T55 | Casimir effect in quantum field theory |
| 22E99 | Lie groups |
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