Configuration Space Renormalization of Massless QFT as an Extension Problem for Associate Homogeneous Distributions

Con guration (x-)space renormalization of euclidean Green functions in a massless quantum eld theory is reduced (by generalizing Hörmander's approach [H]) to the study of extensions of associate homogeneous distributions. Primitively divergent graphs are renormalized, in particular, by subtracting the residue of an analytically regularized expression. The renormalized Green functions are again associate homogeneous distributions that transform under indecomposable representations of the dilation group.

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Source https://hal.science/hal-00703717
Author Nikolov, Nikolay, M., Stora, Raymond, Todorov, Ivan
Maintainer CCSD
Last Updated May 16, 2026, 06:55 (UTC)
Created May 16, 2026, 06:55 (UTC)
Identifier hal-00703717
Language en
Rights https://about.hal.science/hal-authorisation-v1/
contributor Institute for Nuclear Research and Nuclear Energy ; Université de bulagarie
creator Nikolov, Nikolay, M.
date 2011-05-16T00:00:00
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harvest_source_id 3374d638-d20b-4672-ba96-a23232d55657
harvest_source_title test moissonnage SELUNE
metadata_modified 2026-03-11T00:00:00
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