Veneziano amplitude

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In theoretical physics, the Veneziano amplitude refers to the discovery made in 1968 by Italian theoretical physicist Gabriele Veneziano that the Euler gamma function, when interpreted as a scattering amplitude, has many of the features needed to explain the physical properties of strongly interacting mesons, such as symmetry and duality.[1] Conformal symmetry was soon discovered. The formula is the following:

 \frac{ \Gamma (-1+\frac12(k_1+k_2)^2) \Gamma (-1+\frac12(k_2+k_3)^2)  } { \Gamma (-2+\frac12((k_1+k_2)^2+(k_2+k_3)^2)) } .

kn is a vector (such as a four-vector) referring to the momentum of the nth particle. Γ is the gamma function.

This discovery can be considered the birth of string theory,[2] as the discovery and invention of string theory came about as a search for a physical model which would give rise to such a scattering amplitude.

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  1. ^ Veneziano, G. (1968). "Construction of a crossing-symmetric, Regge-behaved amplitude for linearly rising trajectories". Nuovo Cimento A 57: 190–7. 
  2. ^ Di Vecchia, P. (2008). "The Birth of String Theory". In Gasperini, Maurizio; Maharana, Jnan. String Theory and Fundamental Interactions – Gabriele Veneziano and Theoretical Physics: Historical and Contemporary Perspectives. Lecture Notes in Physics 737. Springer. pp. 59–118. ISBN 978-3-540-74232-6.