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Article Dans Une Revue Reviews in Mathematical Physics Année : 2014

Renormalization of massless Feynman amplitudes in configuration space

Résumé

A systematic study of recursive renormalization of Feynman amplitudes is carried out both in Euclidean and in Minkowski configuration spaces. For a massless quantum field theory (QFT), we use the technique of extending associate homogeneous distributions to complete the renormalization recursion. A homogeneous (Poincare covariant) amplitude is said to be convergent if it admits a (unique covariant) extension as a homogeneous distribution. For any amplitude without subdivergences - i.e. for a Feynman distribution that is homogeneous off the full (small) diagonal - we define a renormalization invariant residue. Its vanishing is a necessary and sufficient condition for the convergence of such an amplitude. It extends to arbitrary - not necessarily primitively divergent - Feynman amplitudes. This notion of convergence is finer than the usual power counting criterion and includes cancellation of divergences.

Dates et versions

hal-00848368 , version 1 (26-07-2013)

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N. M. Nikolov, R. Stora, I. T. Todorov. Renormalization of massless Feynman amplitudes in configuration space. Reviews in Mathematical Physics, 2014, 26 (4), pp.1430002. ⟨10.1142/S0129055X14300027⟩. ⟨hal-00848368⟩
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