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On a consequence of the causality condition in field theory with a momentum space of constant curvature. (English) Zbl 0412.53015

MSC:

53B50 Applications of local differential geometry to the sciences
81T99 Quantum field theory; related classical field theories
51M10 Hyperbolic and elliptic geometries (general) and generalizations

Citations:

Zbl 0333.53028
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References:

[1] N. N. Bogolyubov and D. V. Shirkov, Introduction to the Theory of Quantized Fields, Interscience (1959).
[2] N. N. Bogolubov, A. A. Logunov, and I. T. Todorov, Introduction to Axiomatic Quantum Field Theory, Benjamin, New York (1975).
[3] A. D. Donkov, V. G. Kadyshevskii, M. D. Mateev, and R. M. Mir-Kasimov, Bolg. Fiz. Zh.,1, 58 (1974).
[4] A. D. Donkov, V. G. Kadyshevskii, M. D. Mateev, and R. M. Mir-Kasimov, Bolg. Fiz. Zh.,1, 150 (1974).
[5] A. D. Donkov, V. G. Kadyshevskii, M. D. Mateev, and R. M. Mir-Kasimov, Bolg. Fiz. Zh.,1, 233 (1974).
[6] V. G. Kadyshevskii, in: Problems of Theoretical Physics [in Russian], Dedicated to the Memory of I. E. Tamm, Nauka (1972).
[7] V. G. Kadyshevskii, Preprint JINR R2-5717 [in Russian], Dubna (1971).
[8] F. Dyson, Phys. Rev.,110, 1460 (1958). · Zbl 0085.43401
[9] I. M. Gel’fand and G. E. Shilov, Generalized Functions, Vol. 1, Properties and Operations, Academic Press. · Zbl 0021.41102
[10] V. S. Vladimirov, Equations of Mathematical Physics [in Russian], Nauka (1971). · Zbl 0231.35002
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