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- W1917943503 startingPage "963" @default.
- W1917943503 abstract "The process $ensuremath{varphi}(q)ensuremath{rightarrow}ensuremath{varphi}(p)+mathrm{anything}$, the process in ${ensuremath{varphi}}^{4}$ theory analogous to ${e}^{+}+{e}^{ensuremath{-}}ensuremath{rightarrow}mathrm{h}mathrm{a}mathrm{d}mathrm{r}mathrm{o}mathrm{n}phantom{rule{0ex}{0ex}}+phantom{rule{0ex}{0ex}}mathrm{a}mathrm{n}mathrm{y}mathrm{t}mathrm{h}mathrm{i}mathrm{n}mathrm{g}$, is examined in ${ensuremath{varphi}}^{4}$ field theory for large values of ${q}^{2}$. Some heuristic arguments as to the strength of mass singularities in a particular two-particle irreducible amplitude make it possible to argue that a light-cone-like expansion exists when ${q}^{2}ensuremath{rightarrow}ensuremath{infty}$. This light-cone expansion has virtually all of the properties of the usual light-cone expansion except that it is not an expansion in terms of invariant amplitudes associated with local operators. In case ${ensuremath{varphi}}^{4}$ theory has an eigenvalue, $ensuremath{beta}({g}_{ensuremath{infty}})=0$, the moments of the annihilation cross section will have a power behavior in ${q}^{2}$, a power unrelated to the powers of ${q}^{2}$ appearing in any deeply inelastic scattering process. Also, at an eigenvalue the average multiplicity of particles produced, a quantity governed by the Callan-Symanzik equation in this theory, grows like a fractional power of ${q}^{2}$." @default.
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- W1917943503 date "1974-02-15" @default.
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- W1917943503 title "Inclusive annihilation processes inφ4field theory" @default.
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- W1917943503 doi "https://doi.org/10.1103/physrevd.9.963" @default.
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