Abstract:
A new representation is derived for scattering amplitudes as path integrals in the framework
of simple models of quantum field theory. The problem of mass and wave function
renormsllzatlon is discussed and a generalization to inelastic amplitudes is given.
Citation:
V. A. Matveev, A. N. Tavkhelidze, “On the representation of scattering amplitudes as path integrals in quantum field theory”, TMF, 9:1 (1971), 44–59; Theoret. and Math. Phys., 9:1 (1971), 968–978
\Bibitem{MatTav71}
\by V.~A.~Matveev, A.~N.~Tavkhelidze
\paper On the representation of scattering amplitudes as path integrals in quantum field theory
\jour TMF
\yr 1971
\vol 9
\issue 1
\pages 44--59
\mathnet{http://mi.mathnet.ru/tmf4430}
\transl
\jour Theoret. and Math. Phys.
\yr 1971
\vol 9
\issue 1
\pages 968--978
\crossref{https://doi.org/10.1007/BF01036024}
Linking options:
https://www.mathnet.ru/eng/tmf4430
https://www.mathnet.ru/eng/tmf/v9/i1/p44
This publication is cited in the following 6 articles:
Nguyen Suan Han, Do Thu Ha, Nguyen Nhu Xuan, “The contribution of effective quantum gravity to the high energy scattering in the framework of modified perturbation theory and one loop approximation”, Eur. Phys. J. C, 79:10 (2019)
Rosenfelder R., “Scattering Theory With Path Integrals”, J. Math. Phys., 55:3 (2014), 032106
Nguyen Suan Han, Eap Ponna, “Straight-line path approximation for studying Planckian-energy scattering in quantum gravity”, Il Nuovo Cimento A (1971-1996), 110:5 (1997), 459
A. V. Bogdanov, G. V. Dubrovskiy, “Path integral representation for inelastic scattering amplitude and its quasiclassical approximations”, Theoret. and Math. Phys., 30:2 (1977), 146–152
Nguen Suan Han, V. V. Nesterenko, “High-energy scattering of composite particles in the functional approach”, Theoret. and Math. Phys., 24:2 (1975), 768–775
B. M. Barbashov, V. V. Nesterenko, “Approximate solutions in the model Lint=h2ψ2φ2 and equations for Green's functions on paths”, Theoret. and Math. Phys., 19:1 (1974), 340–348
Citation in format AMSBIB
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