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In physics, the S-matrix or scattering matrix is a matrix that relates the initial state and the final state of a physical system undergoing a scattering process. It is used in quantum mechanics , scattering theory and quantum field theory (QFT).
But in the guise of string theory, S-matrix theory is still a popular approach to the problem of quantum gravity. The S-matrix theory is related to the holographic principle and the AdS/CFT correspondence by a flat space limit. The analog of the S-matrix relations in AdS space is the boundary conformal theory. [1] The most lasting legacy of the ...
The S-matrix describes the amplitude for a process with an initial state evolving into a final state .If the initial and final states consist of two clusters, with and close to each other but far from the pair and , then the cluster decomposition property requires the S-matrix to factorize
In quantum field theory, correlation functions, often referred to as correlators or Green's functions, are vacuum expectation values of time-ordered products of field operators. They are a key object of study in quantum field theory where they can be used to calculate various observables such as S-matrix elements.
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 ...
Tracy’s lab at the Buck Institute is studying memory loss from Alzheimer’s disease and frontotemporal dementia. “Everybody experiences normal age-related cognitive decline, not just people ...
The S-matrix in quantum field theory is an example of a time-ordered product. The S-matrix, transforming the state at t = −∞ to a state at t = +∞, can also be thought of as a kind of "holonomy", analogous to the Wilson loop. We obtain a time-ordered expression because of the following reason: We start with this simple formula for the ...
In axiomatic quantum theory, S-matrix is considered as a functional of a function : [,] defined on the Minkowski space.This function characterizes the intensity of the interaction in different space-time regions: the value () = at a point corresponds to the absence of interaction in , () = corresponds to the most intense interaction, and values between 0 and 1 correspond to incomplete ...