Where have all the form-factors gone in the instanton amplitudes?
May, 199128 pages
Published in:
- Nucl.Phys.B 365 (1991) 161-188
- Published: 1991
Report number:
- TPI-MINN-91-21-T
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Abstract: (Elsevier)
We discuss the issue of the momentum dependence of instanton-induced amplitudes. We consider multi-loop graphs in gφ 4 , which on the one hand can be computed through the Lipatov approach using instantons and on the other hand are given by the usual Feynman graphs. Using this correspondence we can understand the peculiar momentum dependence. We find that the momentum dependence characteristic to the one-instanton amplitudes corresponds to low-multiplicity cuts, while the genuine ultraviolet behavior is dominated by high-multiplicity cuts which are not reproduced in the one-instanton approximation and presumably could be related to multi-instantons. The contribution of the multi-instanton configurations is estimated, and a boundary value of the momentum transfer where the regimes are changed is found.- phi**n model: 4
- field equations: instanton
- Feynman graph
- perturbation theory
- asymptotic expansion
- renormalization group
- momentum dependence
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