Analytic continuation of massless Feynman amplitudes in the Schwartz space \({\mathcal S}'\)

DOI10.1016/0034-4877(84)90026-0zbMath0557.46042OpenAlexW2065301113MaRDI QIDQ762427

Pavel M. Bleher

Publication date: 1984

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0034-4877(84)90026-0

zbMATH Keywords

renormalizationtempered distributionmeromorphic continuationanalytic continuationFeynman graphFeynman integralFeynman amplituderegularization of divergent Feynman integrals

Mathematics Subject Classification ID

Feynman integrals and graphs; applications of algebraic topology and algebraic geometry (81Q30) Topological linear spaces of test functions, distributions and ultradistributions (46F05) Miscellaneous applications of functional analysis (46N99)

Related Items (4)

Feynman integrals with a \(p\)-adic argument in momentum space. III: Renormalization ⋮ Meromorphic continuation of Koba-Nielsen string amplitudes ⋮ Regularization of \(p\)-adic string amplitudes, and multivariate local zeta functions ⋮ Analytic continuation of massless Feynman amplitudes in the Schwartz space \({\mathcal S}'\)

Cites Work

• Analytic continuation of massless Feynman amplitudes in the Schwartz space \({\mathcal S}'\)
• Distributional limits of renormalized Feynman integrals with zero-mass denominators
• Generalized Feynman Amplitudes. (AM-62)
• Resolution of Singularities and Division of Distributions
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