Abstract:
It is shown that in nonlocalizable and, as a consequence, nonmicrocausal field theories in
which the Wightman functions grow exponentially in momentum space and satisfy a quasilocality
condition one can construct a theory of asymptotic fields and particles, i.e., prove the existence of a unitary PCT-invariant S-matrix.
Citation:
M. Z. Iofa, V. Ya. Fainberg, “Wightman formulation for nonlocalizable field theories
II. Theory of asymptotic fields and particles”, TMF, 1:2 (1969), 187–199; Theoret. and Math. Phys., 1:2 (1969), 143–152
\Bibitem{IofFai69}
\by M.~Z.~Iofa, V.~Ya.~Fainberg
\paper Wightman formulation for nonlocalizable field theories
II.~Theory of asymptotic fields and particles
\jour TMF
\yr 1969
\vol 1
\issue 2
\pages 187--199
\mathnet{http://mi.mathnet.ru/tmf4560}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=468739}
\transl
\jour Theoret. and Math. Phys.
\yr 1969
\vol 1
\issue 2
\pages 143--152
\crossref{https://doi.org/10.1007/BF01028040}
Linking options:
https://www.mathnet.ru/eng/tmf4560
https://www.mathnet.ru/eng/tmf/v1/i2/p187
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Yongwan Gim, Hwajin Um, Wontae Kim, “Unruh effect of nonlocal field theories with a minimal length”, Physics Letters B, 784 (2018), 206
Calcagni G., “Cosmology of Quantum Gravities”: G. Calcagni, Classical and Quantum Cosmology, Graduate Texts in Physics, Springer International Publishing Ag, 2017, 543–624
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G. V. Efimov, “Amplitudes in Nonlocal Theories at High Energies”, Theoret. and Math. Phys., 128:3 (2001), 1169–1175
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Theoret. and Math. Phys., 93:3 (1992), 1438–1449
M. A. Soloviev, “Spacelike asymptotic behavior of vacuum expectation values in nonlocal field theory”, Theoret. and Math. Phys., 52:3 (1982), 854–862
V.Ya Fainberg, M.A Soloviev, “How can local properties be described in field theories without strict locality?”, Annals of Physics, 113:2 (1978), 421
G. D. Romanko, I. V. Khimich, “Fourier transformation of a class of hyperfunctions and formulation of the condition of local commutativity in the framework of localizable quantum field theory in terms of hyperfunctions”, Theoret. and Math. Phys., 23:2 (1975), 451–461
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