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Remark to the field theory with quantiгed space-time

А.Е. Pukhоv

Moscow University Physics Bulletin 1979. 34. N 6. P. 81

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We examine the theory of quantized space-time developed by V. G. Kadyshevskii and co-workers. In this theory momentum space is a surface of constant curvature: $(π^0)^2 — (π^1)^2 - (π^2)^2 — (π^3)^2 + (π^4)^2 = 1$. Each value of the physical four-momentum $p^μ= π^μ$(μ = 0, 1, 2, 3) corresponds to two points in momentum space π and $π^*$, which differ by the ii sign of $π^4$. Using the conditions of translational invariance and the microcausality of the S matrix, we show that the retarded functions for n ≥ 2 satisfy the relation $R_{n}(π_{0}{1},..., π_{n})= -R_{n}(π_{0}^{*},π_{1},...,π_{n})$ which connects the values of the matrix elements in the region $π^{4}>0$ with the values of the matrix elements in the region $π^{4}<0$.

Rissian citation:
А.Е. Пухов.
Замечание к теории поля на квантованном пространстве-времени.
Вестн. Моск. ун-та. Сер. 3. Физ. Астрон. 1979. № 6. С. 87.
Authors
А.Е. Pukhоv
Московский государственный университет имени М.В. Ломоносова, физический факультет, НИИЯФ. Россия, 119991, Москва, Ленинские горы, д. 1, стр. 2
Issue 6, 1979

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