Consequences of field quantization in de sitter type cosmological models

作者: E.A Tagirov

DOI: 10.1016/0003-4916(73)90047-X

关键词: PhysicsQuantization (physics)Invariant massDe Sitter universeClassical mechanicsQuantum field theoryTheoretical physicsScalar bosonCosmologyQuartic functionScalar fieldGeneral Physics and Astronomy

摘要: The present paper may conditionally be divided into three tightly associated parts. first part is a discussion of the necessity conformal covariance general relativistic scalar field equation following from quantum theory. second an objection against assertion or implication in Reps. [3, 5] that De Sitter world (and as consequence, some other cosmological models) rest mass particle cannot zero. In third forbiddenness cubic self-interaction vs. quartic one models under consideration shown. This manifests there exist divergences special type (not ultraviolet) perturbation theory for former interaction, but no such divergence latter. relation results with reality discussed.

参考文章(12)
G. Börner, H. P. Dürr, Classical and quantum fields in de Sitter space Nuovo Cimento Della Societa Italiana Di Fisica A-nuclei Particles and Fields. ,vol. 64, pp. 669- 714 ,(1969) , 10.1007/BF02721668
R. Raczka, N. Limić, J. Niederle, Discrete Degenerate Representations of Noncompact Rotation Groups. I Journal of Mathematical Physics. ,vol. 7, pp. 1861- 1876 ,(1966) , 10.1063/1.1704835
Bateman Manuscript, Arthur Erdélyi, Harry Bateman, Higher Transcendental Functions ,(1981)
N. Limić, J. Niederle, R. Raczka, Continuous Degenerate Representations of Noncompact Rotation Groups. II Journal of Mathematical Physics. ,vol. 7, pp. 2026- 2035 ,(1966) , 10.1063/1.1704885
N. Limić, J. Niederle, R. Rączka, Eigenfunction Expansions Associated with the Second‐Order Invariant Operator on Hyperboloids and Cones. III Journal of Mathematical Physics. ,vol. 8, pp. 1079- 1093 ,(1967) , 10.1063/1.1705320
Otto Nachtmann, Quantum theory in de Sitter space Communications in Mathematical Physics. ,vol. 6, pp. 1- 16 ,(1967) , 10.1007/BF01646319
S Deser, Scale invariance and gravitational coupling Annals of Physics. ,vol. 59, pp. 248- 253 ,(1970) , 10.1016/0003-4916(70)90402-1
Gordon Baym, Inconsistency of Cubic Boson-Boson Interactions Physical Review. ,vol. 117, pp. 886- 888 ,(1960) , 10.1103/PHYSREV.117.886
Curtis G Callan, Sidney Coleman, Roman Jackiw, A new improved energy-momentum tensor Annals of Physics. ,vol. 59, pp. 42- 73 ,(1970) , 10.1016/0003-4916(70)90394-5