Quantum Extended Arithmetic Veneziano Amplitude
数学物理
2007-05-23 v1 math.MP
摘要
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.
引用
@article{arxiv.math-ph/0606003,
title = {Quantum Extended Arithmetic Veneziano Amplitude},
author = {Debashis Ghoshal},
journal= {arXiv preprint arXiv:math-ph/0606003},
year = {2007}
}
备注
8 pages (harvmac b)