Veneziano amplitude explained

B(x,y) , the amplitude is given by^[3] S(k _{1,k} _{2,k} _{3,k} _{4)} = (2 i g ^{2} _{o})/(\alpha') ( 2 \pi) ^{26} \delta ^{26} (\Sigma _{i} k _{i)[B(\alpha(s),\alpha(t))+B(\alpha(s),\alpha(u))+B(\alpha(t),\alpha(u))]}

where

\alpha' is the string constant, k _{i} are the tachyon four-vectors, g _{o} is the open string theory coupling constant, and \alpha(x) = -1- \alpha'x .

See also

• Beta function
• Crossing (physics)
• Dual resonance model
• History of string theory
• Regge theory

External links

• String Theory and M-Theory, Lecture 6, Video lecture by Leonard Susskind on Veneziano amplitude. (Stanford University)

Notes and References

1. Veneziano . G. . Gabriele Veneziano . 1968 . Construction of a crossing-symmetric, Regge-behaved amplitude for linearly rising trajectories . Nuovo Cimento A . 57 . 1 . 190–7. 10.1007/BF02824451 . 1968NCimA..57..190V .
2. Book: Di Vecchia, P. . The Birth of String Theory . 59–118 . Gasperini . Maurizio . Maharana . Jnan . String Theory and Fundamental Interactions – Gabriele Veneziano and Theoretical Physics: Historical and Contemporary Perspectives . . . 2008 . 737 . 978-3-540-74232-6. 10.1007/978-3-540-74233-3_4 . arXiv preprint
3. Book: Polchinski, J.. Joseph Polchinski. 1998. String Theory Volume I: An Introduction to the Bosonic String. Cambridge University Press. 6. 183. 978-0143113799.