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 TMF, 1971, Volume 9, Number 1, Pages 44–59 (Mi tmf4430)

On the representation of scattering amplitudes as path integrals in quantum field theory

V. A. Matveev, A. N. Tavkhelidze

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.

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English version:
Theoretical and Mathematical Physics, 1971, 9:1, 968–978

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

Citation in format AMSBIB
\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} 

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Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

This publication is cited in the following articles:
1. B. M. Barbashov, V. V. Nesterenko, “Approximate solutions in the model $\mathscr L_{\mathrm{int}}=h^2\psi^2\varphi^2$ and equations for Green's functions on paths”, Theoret. and Math. Phys., 19:1 (1974), 340–348
2. 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
3. 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
4. Rosenfelder R., “Scattering Theory With Path Integrals”, J. Math. Phys., 55:3 (2014), 032106
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