Multiloop calculations in p-adic string theory and Bruhat-Tits trees

DOI10.1007/BF01228348zbMath0685.22005OpenAlexW2059785306MaRDI QIDQ1825974

Anton V. Zabrodin, Leonid O. Chekhov, Andrei Mironov

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1007/bf01228348

zbMATH Keywords

path integralGreen functionsnormalizationBruhat-Tits treeSchottky groupstring amplitudesp-adic string theoryopen string world sheetp-adic surfacestachyon string amplitudes

Mathematics Subject Classification ID

Unified, higher-dimensional and super field theories (83E99) Arithmetic ground fields for curves (14H25) Compact Riemann surfaces and uniformization (30F10) Constructive quantum field theory (81T08) Analysis on (p)-adic Lie groups (22E35)

Related Items (20)

Are there \(p\)-adic knot invariants? ⋮ Towards \(p\)-adic string in constant \(B\)-field ⋮ L functions in scattering on p-adic multiloop surfaces ⋮ Scattering on univalent graphs from the \(L\)-function point of view ⋮ Scattering on \(p\)-adic graphs ⋮ Ising model on the generalized Bruhat-Tits tree ⋮ Scattering on the Bruhat-Tits tree. I ⋮ \(p\)-adic open string amplitudes with Chan-Paton factors coupled to a constant \(B\)-field ⋮ Notes on exchange interactions in holographic \(p\)-adic CFT ⋮ p-adic string compactified on a torus ⋮ Ward identities and combinatorics of rainbow tensor models ⋮ \(p\)-adic AdS/CFT ⋮ Tachyon condensation and brane descent relations in \(p\)-adic string theory ⋮ On \(p\)-adic mathematical physics ⋮ Mumford dendrograms and discrete \(p\)-adic symmetries ⋮ THE PRIME GEODESIC THEOREM AND QUANTUM MECHANICS ON FINITE VOLUME GRAPHS: A REVIEW ⋮ Methods and applications of ultrametric and \(p\)-adic analysis: from wavelet theory to biophysics ⋮ Multiloop calculations in p-adic string theory and Bruhat-Tits trees ⋮ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>p</mml:mi></mml:math>-adic String Theories Provide Lattice Discretization to the Ordinary String Worldsheet ⋮ Generalised diffusion on moduli spaces of \(p\)-adic Mumford curves

Cites Work

• Fermions on a Riemann surface and the Kadomtsev-Petviashvili equation
• Calculus on arithmetic surfaces
• p-adic space-time and string theory
• Non-Archimedean strings and Bruhat-Tits trees
• Schottky groups and Mumford curves
• Multiloop calculations in p-adic string theory and Bruhat-Tits trees
• NEW P-ADIC STRING AMPLITUDES
• New directions in geometry
• NON-ARCHIMEDEAN INTEGRATION AND JACQUET-LANGLANDSp-ADICL-FUNCTIONS
• Tata lectures on theta. II: Jacobian theta functions and differential equations. With the collaboration of C. Musili, M. Nori, E. Previato, M. Stillman, and H. Umemura
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