ANALYTIC CONTINUATION OF OPERATORS APPLICATIONS: FROM NUMBER THEORY AND GROUP THEORY TO QUANTUM FIELD AND STRING THEORIES

DOI10.1142/S0129055X99000179zbMath0965.81127arXivhep-th/9707206WikidataQ129735057 ScholiaQ129735057MaRDI QIDQ4519805

S. C. Woon

Publication date: 4 December 2000

Published in: Reviews in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9707206

zbMATH Keywords

noncommutative geometryanalytic continuation of operatorsanalytically continued matrix representationsnon-integer power seriesparticle-physics-like scatteringspseudo-groupszeros of analytically continued Bernoulli polynomials

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Fractional derivatives and integrals (26A33) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Quantum field theory; related classical field theories (81T99)

Cites Work

• Particle creation by black holes
• Fractional powers of dissipative operators
• Period-harmonic-tupling jumps to chaos and fractal-scaling in a class of series
• Symmetries of Baryons and Mesons
• A Tree for Generating Bernoulli Numbers

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