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In S-matrix theory, the S-matrix relates the infinite past to the infinite future in one step, without being decomposable into intermediate steps corresponding to time-slices. This program was very influential in the 1960s, because it was a plausible substitute for quantum field theory , which was plagued with the zero interaction phenomenon at ...
The initial elements of S-matrix theory are found in Paul Dirac's 1927 paper "Über die Quantenmechanik der Stoßvorgänge". [1] [2] The S-matrix was first properly introduced by John Archibald Wheeler in the 1937 paper "On the Mathematical Description of Light Nuclei by the Method of Resonating Group Structure". [3]
S-matrix theorists sought to understand the strong interaction by using the analytic properties of the scattering matrix to calculate the interactions of bound-states without assuming that there is a point-particle field theory underneath. The S-matrix approach did not provide a local space-time description.
This is how Gabriele Veneziano and many others constructed string theory, which remains the only theory constructed from general consistency conditions and mild assumptions on the spectrum. Many in the bootstrap community believed that field theory, which was plagued by problems of definition, was fundamentally inconsistent at high energies.
String theory represents an outgrowth of S-matrix theory, [1] a research program begun by Werner Heisenberg in 1943 [2] following John Archibald Wheeler's 1937 introduction of the S-matrix. [3] Many prominent theorists picked up and advocated S-matrix theory, starting in the late 1950s and throughout the 1960s.
Quantum Field Theory A Modern Perspective. Springer. There are some review article about applications of the Schwinger–Dyson equations with applications to special field of physics. For applications to Quantum Chromodynamics there are R. Alkofer and L. v.Smekal (2001). "On the infrared behaviour of QCD Green's functions". Phys. Rep. 353 (5 ...
A series of papers was published between 1934 and 1938 by ... the so-called S-matrix theory. ... terms in addition to the free theory terms. For example, ...
Arthur Cayley FRS (/ ˈ k eɪ l i /; 16 August 1821 – 26 January 1895) was a British mathematician who worked mostly on algebra.He helped found the modern British school of pure mathematics, and was a professor at Trinity College, Cambridge for 35 years.