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- W1986752853 abstract "A systematic investigation, in perturbation theory, is presented of the light-cone behavior of multiparticle matrix elements of time-ordered products of local fields: $ensuremath{int}{d}^{4}x{e}^{mathrm{idx}}〈ensuremath{beta}|T{ensuremath{psi}}_{1}(x){ensuremath{psi}}_{2}(0)|ensuremath{alpha}〉$. In the limit ${q}_{ensuremath{-}}ensuremath{rightarrow}ensuremath{infty}$, the contribution of any single Feynman graph is of the form ${{q}_{ensuremath{-}}}^{ensuremath{beta}}{(mathrm{ln}{q}_{ensuremath{-}})}^{ensuremath{gamma}}$. The main result here is a rule by means of which the integers $ensuremath{beta}$ and $ensuremath{gamma}$ can be read off from the topology of the graph. The implications of this investigation for local field theories are organized and discussed in operator language in a companion paper. A by-product of the special methods here developed to obtain asymptotic estimates in perturbation theory is a refinement of Weinberg's theorem for the Euclidean region: the determination of the logarithmic factors in the asymptotic form of Feynman amplitudes when a set of external momenta ${q}_{1}, {q}_{2}, dots{}$ is allowed to approach infinity according to ${q}_{i}=ensuremath{eta}{{q}^{ensuremath{'}}}_{i}, ensuremath{eta}ensuremath{rightarrow}ensuremath{infty}$." @default.
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- W1986752853 date "1973-10-15" @default.
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- W1986752853 title "Light-Cone Operator Expansions in Perturbation Theory. II" @default.
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- W1986752853 doi "https://doi.org/10.1103/physrevd.8.2687" @default.
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