Construction of \(p\)-adic covariant quantum fields in the framework of white noise analysis

DOI10.1016/S0034-4877(19)30066-7zbMath1441.46055arXiv1810.01408WikidataQ127368930 ScholiaQ127368930MaRDI QIDQ2194253

Edilberto Arroyo-Ortiz, Wilson A. Zuniga-Galindo

Publication date: 25 August 2020

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

Full work available at URL: https://arxiv.org/abs/1810.01408

zbMATH Keywords

white noiseEuclidean quantum fieldsKondratiev spacesnon-Archimedean analysisHida spaces

Mathematics Subject Classification ID

Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) White noise theory (60H40) Axiomatic quantum field theory; operator algebras (81T05) (p)-adic differential equations (12H25)

Related Items (9)

Non-Archimedean statistical field theory ⋮ Introduction: Advancing Non-Archimedean Mathematics ⋮ Chaos in p-adic Statistical Lattice Models: Potts Model ⋮ Introduction: Nature and Its Mathematics ⋮ The \(p\)-adic Ising model in an external field on a Cayley tree: periodic Gibbs measures ⋮ \(p\)-adic statistical field theory and deep belief networks ⋮ Euclidean quantum field formulation of \(p\)-adic open string amplitudes ⋮ Non-Archimedean quantum mechanics via quantum groups ⋮ A note on the p-adic Kozyrev wavelets basis

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