Feynman integrals with a \(p\)-adic argument in momentum space. III: Renormalization

DOI10.1007/BF02071074zbMath0888.46050OpenAlexW2044554493MaRDI QIDQ1379234

Eh. Yu. Lerner

Publication date: 25 February 1998

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02071074

zbMATH Keywords

\(p\)-adic argumentanalytic \(R^*\)-operationmassless Feynman integralsrenormalized amplitudes

Mathematics Subject Classification ID

Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Feynman diagrams (81T18) Feynman integrals and graphs; applications of algebraic topology and algebraic geometry (81Q30) Applications of functional analysis in quantum physics (46N50)

Related Items (3)

Functional equations and renormalizations in \(p\)-adic field theories ⋮ On vertex parts of \(p\)-adic Feynman amplitudes ⋮ Dimensional renormalization in \(p\)-adic models of field theory

Cites Work

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• Analytic continuation of massless Feynman amplitudes in the Schwartz space \({\mathcal S}'\)
• p-adic Feynman and string amplitudes
• Calculation of general \(p\)-adic Feynman amplitude
• Functional integral via functional equation
• Invariant manifolds of \(p\)-adic renormalization groups
• RENORMALIZATION IN p-ADIC QUANTUM FIELD THEORY

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