The Veneziano amplitude is the tree-level string scattering amplitude for the scattering of four open bosonic strings in their tachyon states. Hence equivalently it is a certain 4-point function in a certain boundary 2d CFT.
Historically, this amplitude first arose in dual resonanace models? and the realization that it has a natural interpretation as the scattering of strings was one of the main original motivations for the development of string theory.
In p-adic string theory (see there) one considers adelic integral-variants of the Veneziano amplitude.
See also:
Suggestion to understand the Veneziano amplitude in quantum hadrodynamics as the scattering amplitude of chains of particles with harmonic nearest-neighbour interaction, in the continuum limit described by the Polyakov action, this becoming one of the arguments initiating string theory (alongside Polyakov gauge-string duality):
Discussion of the Veneziano amplitude on this context of string theory:
Michael Green, John Schwarz, Edward Witten, section 1.1 of Superstring theory Volume 1, Cambridge Monographs on Mathematical Physics, 1987
Gerard 't Hooft, section 1.2 and section 6 of Introduction to string theory 2004 (pdf)
The Veneziano amplitude (pdf)
More abstract characterization of the Veneziano amplitude:
Clifford Cheung, Grant N. Remmen: Veneziano Variations: How Unique are String Amplitudes?, J. High Energ. Phys. 2023 (2023) 122 [arXiv:2210.12163, doi:10.1007/JHEP01(2023)122]
Clifford Cheung, Aaron Hillman, Grant N. Remmen: A Bootstrap Principle for the Spectrum and Scattering of Strings, Phys. Rev. Lett. 133 (2024) 251601 [arXiv:2406.02665, doi:10.1103/PhysRevLett.133.251601]
Discussion in the context of Riemann hypothesis and physics is in
Textbook review includes (16.49) in
See also:
Last revised on December 20, 2024 at 10:20:17. See the history of this page for a list of all contributions to it.