Quantum Extended Arithmetic Veneziano Amplitude

Ghoshal, Debashis

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学術論文

Quantum Extended Arithmetic Veneziano Amplitude

MPS-Authors

Ghoshal, Debashis
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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0606003v1.pdf
(プレプリント), 106KB

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引用

Ghoshal, D. (n.d.). Quantum Extended Arithmetic Veneziano Amplitude.

引用: https://hdl.handle.net/11858/00-001M-0000-0013-5F8F-9

要旨

The Veneziano amplitude for the tree-level scattering of four tachyonic scalar of open string theory has an arithmetic analogue in terms of the p-adic gamma function. We propose a quantum extension of this amplitude using the q-extended p-adic gamma function given by Koblitz. This provides a one parameter deformation of the arithmetic Veneziano amplitude. We also comment on the dificulty in generalising this to higher point amplitudes.