Abstract:
We show that the forward elastic scattering amplitude of two massive spinless particles in noncommutative quantum field theory has the same analytic properties as in the commutative case if the noncommutativity condition involves only the spatial variables.
Keywords:
noncommutative quantum field theory, local commutativity, analyticity, dispersion relations.
Citation:
Yu. S. Vernov, M. N. Mnatsakanova, “Dispersion Relations for the Forward Elastic Scattering Amplitude in Noncommutative Quantum Field Theory”, TMF, 139:1 (2004), 3–11; Theoret. and Math. Phys., 139:1 (2004), 451–457
\Bibitem{VerMna04}
\by Yu.~S.~Vernov, M.~N.~Mnatsakanova
\paper Dispersion Relations for the Forward Elastic Scattering Amplitude in Noncommutative Quantum Field Theory
\jour TMF
\yr 2004
\vol 139
\issue 1
\pages 3--11
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\crossref{https://doi.org/10.4213/tmf49}
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\zmath{https://zbmath.org/?q=an:1178.81277}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2004TMP...139..451V}
\transl
\jour Theoret. and Math. Phys.
\yr 2004
\vol 139
\issue 1
\pages 451--457
\crossref{https://doi.org/10.1023/B:TAMP.0000022738.68283.99}
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Linking options:
https://www.mathnet.ru/eng/tmf49
https://doi.org/10.4213/tmf49
https://www.mathnet.ru/eng/tmf/v139/i1/p3
This publication is cited in the following 2 articles:
Yu. S. Vernov, M. N. Mnatsakanova, “Jost–Lehmann–Dyson representation, analyticity in the angular variable, and upper bounds in noncommutative quantum field theory”, Theoret. and Math. Phys., 142:2 (2005), 324–336
Yu. S. Vernov, M. N. Mnatsakanova, “Wightman axiomatic approach in noncommutative field theory”, Theoret. and Math. Phys., 142:2 (2005), 337–348