LSZ reduction formula information

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In quantum field theory, the Lehmann–Symanzik–Zimmermann (LSZ) reduction formula is a method to calculate S-matrix elements (the scattering amplitudes) from the time-ordered correlation functions of a quantum field theory. It is a step of the path that starts from the Lagrangian of some quantum field theory and leads to prediction of measurable quantities. It is named after the three German physicists Harry Lehmann, Kurt Symanzik and Wolfhart Zimmermann.^[1]

Although the LSZ reduction formula cannot handle bound states, massless particles and topological solitons, it can be generalized to cover bound states, by use of composite fields which are often nonlocal. Furthermore, the method, or variants thereof, have turned out to be also fruitful in other fields of theoretical physics. For example, in statistical physics they can be used to get a particularly general formulation of the fluctuation-dissipation theorem.

^ Lehmann, H.; Symanzik, K.; Zimmermann, W. (January 1955). "Zur Formulierung quantisierter Feldtheorien". Il Nuovo Cimento (in German). 1 (1). Italian Physical Society: 205–225. Bibcode:1955NCimS...1..205L. doi:10.1007/BF02731765. S2CID 121373082.

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