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- W2087592739 abstract "We examine the behavior of the connected n-point function in a zero-dimensional scalar theory (scrL=-1/2${mathit{m}}^{2}$${mathrm{ensuremath{varphi}}}^{2}$-1/4ensuremath{lambda}${mathrm{ensuremath{varphi}}}^{4}$). The problematic n!(ensuremath{surd}ensuremath{lambda} ${)}^{mathit{n}}$ behavior for large n, previously found for tree graphs in scalar field theory, is again obtained in saddle-point approximation in this model. However, a similar behavior, n![f(ensuremath{lambda})${]}^{mathit{n}}$, persists in the full theory, where fensuremath{sim} ensuremath{surd}ensuremath{lambda} for ensuremath{lambda}ensuremath{rightarrow}0, fensuremath{sim}${ensuremath{lambda}}^{mathrm{ensuremath{-}}1/4}$ for ensuremath{lambda}ensuremath{gg}1. This behavior can be traced to the existence of zeros in the complex J plane of the generating functional Z(J), which in turn is controlled by the asymptotic behavior in ensuremath{Vert}Jensuremath{Vert} of Z(J) calculated in saddle-point approximation. The application of these results to field theory is discussed." @default.
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- W2087592739 date "1991-03-11" @default.
- W2087592739 modified "2023-09-26" @default.
- W2087592739 title "Tree and nontree multiparticle amplitudes" @default.
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- W2087592739 doi "https://doi.org/10.1103/physrevlett.66.1267" @default.
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