nLab Veneziano amplitude

Contents

Context

String theory

Quantum field theory

Contents

Idea

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.

References

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:

Discussion in the context of Riemann hypothesis and physics is in

  • Yang-Hui He, Vishnu Jejjala, Djordje Minic, From Veneziano to Riemann: A String Theory Statement of the Riemann Hypothesis (arXiv:1501.01975)

Textbook review includes (16.49) in

  • Ralph Blumenhagen, Dieter Lüst, Stefan Theisen, String Scattering Amplitudes and Low Energy Effective Field Theory, chapter 16 in Basic Concepts of String Theory Part of the series Theoretical and Mathematical Physics pp 585-639 Springer 2013

See also:

  • Clifford Cheung, Grant N. Remmen, Veneziano Variations: How Unique are String Amplitudes? [arXiv:2210.12163]

  • Nicholas Geiser, Lukas W. Lindwasser, Generalized Veneziano and Virasoro amplitudes [arXiv:2210.14920]

Last revised on July 12, 2024 at 06:41:33. See the history of this page for a list of all contributions to it.