Landau equations and asymptotic operation

Details Landau equations and asymptotic operation Landau equations and asymptotic operation

1997-03-26

arxiv.org/abs/hep-ph/9703423v1

Int.J.Mod.Phys. A14 (1999) 683-715

Physics

High Energy Physics

High Energy Physics - Phenomenology

15p PS (GSview), IJMP-A (accepted)

Scientific paper

10.1142/S0217751X99000348

The pinched/non-pinched classification of intersections of causal singularities of propagators in Minkowski space is reconsidered in the context of the theory of asymptotic operation as a first step towards extension of the latter to non-Euclidean asymptotic regimes. A highly visual distribution-theoretic technique of singular wave fronts is tailored to the needs of the theory of Feynman diagrams. Besides a simple derivation of the usual Landau equations in the case of the conventional singularities, the technique naturally extends to other types of singularities e.g. due to linear denominators in non-covariant gauges etc. As another application, the results of Euclidean asymptotic operation are extended to a class of quasi-Euclidean asymptotic regimes in Minkowski space.

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