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- W62332687 startingPage "2467" @default.
- W62332687 abstract "Recently, Li and Pagels indicated that there might be nonanalytic corrections as bad as $m_{ensuremath{pi}}^{}{}_{}{}^{2}mathrm{ln}m_{ensuremath{pi}}^{}{}_{}{}^{2}$ in the matrix elements. We study the nonanalytic corrections in a renormalized linear $ensuremath{sigma}$ model in the one-loop approximation. Although we observe these corrections [of the form $mathrm{ln}m_{ensuremath{pi}}^{}{}_{}{}^{2}$, $m_{ensuremath{pi}}^{}{}_{}{}^{2}mathrm{ln}m_{ensuremath{pi}}^{}{}_{}{}^{2}$, $(stackrel{/}{p}ensuremath{-}m)mathrm{ln}m_{ensuremath{pi}}^{}{}_{}{}^{2}$, $({stackrel{/}{p}}_{1}ensuremath{-}m)ifmmodetimeselsetexttimesfi{}({stackrel{/}{p}}_{2}ensuremath{-}m)mathrm{ln}m_{ensuremath{pi}}^{}{}_{}{}^{2}$ in individual diagrams, they sum up to zero in the physically interesting amplitudes (pion and nucleon propagators, $ensuremath{pi}ensuremath{pi}$ and $ensuremath{pi}N$ scattering amplitudes). We conclude that the nonanalytic correction is of higher order and thus does not invalidate the low-energy results derived from a phenomenological Lagrangian for these amplitudes." @default.
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- W62332687 date "1973-04-15" @default.
- W62332687 modified "2023-10-16" @default.
- W62332687 title "Low-Energy Limit of theσModel" @default.
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- W62332687 doi "https://doi.org/10.1103/physrevd.7.2467" @default.
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