Quantum Extended Arithmetic Veneziano Amplitude

2006/06/01 by Debashis Ghoshal, Ghoshal, Debashis
Mathematics · Physics and Astronomy · #81Q99 #FOS: Physical sciences #Mathematical Physics (math-ph) #Mathematical and Theoretical Analysis #Noncommutative and Quantum Gravity Theories #advanced mathematical theories #math-ph #math.MP #msc:81Q99

paper · pdf · doi:10.48550/arxiv.math-ph/0606003

8 pages (harvmac b)

arxiv created 2006/06/01 · openalex publication_date 2006/06/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

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