Abstract
In the present paper, vacuum average energy-momentum tensors are calculated on a group manifold for a real scalar field by the method of coadjoint representation orbits. An example is considered for the group SO(3). The energy-momentum tensor is calculated for a conformally equivalent metric with the help of a conformal transformation.
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 10, pp. 50–57, October, 2007.
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Breev, A.I., Shirokov, I.V. & Razumov, D.N. Polarization of a scalar field vacuum on a manifold conformally equivalent to the manifold R⊗G . Russ Phys J 50, 1012–1020 (2007). https://doi.org/10.1007/s11182-007-0146-9
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DOI: https://doi.org/10.1007/s11182-007-0146-9