RENORMALIZATION IN p-ADIC QUANTUM FIELD THEORY

DOI10.1142/S0217732391001524zbMath1020.81726OpenAlexW1986810800MaRDI QIDQ2726979

Vladimir A. Smirnov

Publication date: 31 July 2001

Published in: Modern Physics Letters A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0217732391001524

zbMATH Keywords

\(p\)-adic Feynman integrals\(p\)-adic perturbative Euclidean quantum field theory

Mathematics Subject Classification ID

Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Feynman diagrams (81T18) Alternative quantum mechanics (including hidden variables, etc.) (81Q65)

Related Items (14)

Can \(p\)-adic numbers be useful to regularize divergent expectation values of quantum observables? ⋮ \(p\)-adic numbers and renormalization of eigenfunctions in quantum mechanics ⋮ Introduction: Advancing Non-Archimedean Mathematics ⋮ Introduction: Nature and Its Mathematics ⋮ Feynman integrals with a \(p\)-adic argument in momentum space. III: Renormalization ⋮ Feynman integrals of \(p\)-adic argument in the momentum space. I: Convergence ⋮ Feynman integrals of \(p\)-adic argument in the momentum space. II: Explicit expressions ⋮ Construction of \(p\)-adic covariant quantum fields in the framework of white noise analysis ⋮ Tables of integrals for complex-valued functions of \(p\)-adic arguments ⋮ Calculation of general \(p\)-adic Feynman amplitude ⋮ Regularization of \(p\)-adic string amplitudes, and multivariate local zeta functions ⋮ An asymptotic expansion of the \(p\)-adic Green function ⋮ Acausal quantum theory for non-Archimedean scalar fields ⋮ \(p\)-adic physics below and above Planck scales

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