Dimensional renormalization in \(p\)-adic models of field theory

DOI10.1007/BF02551034zbMath1066.81590OpenAlexW2059224262MaRDI QIDQ1592180

R. Smith

Publication date: 2000

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

Full work available at URL: https://doi.org/10.1007/bf02551034

Mathematics Subject Classification ID

Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Feynman integrals and graphs; applications of algebraic topology and algebraic geometry (81Q30) Renormalization group methods applied to problems in quantum field theory (81T17)

Cites Work

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• p-adic Feynman and string amplitudes
• Functional integral via functional equation
• Feynman integrals with a \(p\)-adic argument in momentum space. III: Renormalization
• Continuum limit in the fermionic hierarchical model
• Functional equations and renormalizations in \(p\)-adic field theories
• Fixed points of renormalization group for the hierarchical fermionic model
• 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

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