Feynman integrals of \(p\)-adic argument in the momentum space. II: Explicit expressions

DOI10.1007/BF02068739zbMath0923.46075OpenAlexW2014758811MaRDI QIDQ1921861

Eh. Yu. Lerner

Publication date: 25 October 1999

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

Full work available at URL: https://doi.org/10.1007/bf02068739

zbMATH Keywords

finite fieldmomentum spacechromatic polynomialsFeynman amplitudesFeynman integrals of \(p\)-adic argument

Mathematics Subject Classification ID

Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Path integrals in quantum mechanics (81S40) Feynman integrals and graphs; applications of algebraic topology and algebraic geometry (81Q30) Applications of functional analysis in quantum physics (46N50)

Related Items (5)

Matiyasevich formula for chromatic and flow polynomials and Feynman amplitudes ⋮ Flow polynomials as Feynman amplitudes and their \(\alpha\)-representation ⋮ Regularization of \(p\)-adic string amplitudes, and multivariate local zeta functions ⋮ Adelic Feynman amplitudes in lower orders of perturbation theory ⋮ Dimensional renormalization in \(p\)-adic models of field theory

Cites Work

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• p-adic Feynman and string amplitudes
• Calculation of general \(p\)-adic Feynman amplitude
• RENORMALIZATION IN p-ADIC QUANTUM FIELD THEORY
• On the maximum sizes of certain (k, n)-arcs in finite projective geometries
• A Contribution to the Theory of Chromatic Polynomials

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