Landau equations and asymptotic operation
Abstract
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.
Cite
@article{arxiv.hep-ph/9703423,
title = {Landau equations and asymptotic operation},
author = {Fyodor V. Tkachov},
journal= {arXiv preprint arXiv:hep-ph/9703423},
year = {2009}
}
Comments
15p PS (GSview), IJMP-A (accepted)