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Correlation function (quantum field theory)
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Correlation function (quantum field theory) : ウィキペディア英語版
Correlation function (quantum field theory)

In quantum field theory, the (real space) ''n''-point correlation function is defined as the functional average (functional expectation value) of a product of n field operators at different positions
:C_n(x_1, x_2,\ldots,x_n) := \left\langle \phi(x_1) \phi(x_2) \ldots \phi(x_n)\right\rangle
=\frac{\int D \phi \; e^{-S()}}

For time-dependent correlation functions, the time-ordering operator T is included.
Correlation functions are also called simply correlators. Sometimes, the phrase Green's function is used not only for two-point functions, but for any correlators.
* The correlation function can be interpreted physically as the amplitude for propagation of a particle or excitation between y and x. In the free theory, it is simply the Feynman propagator(for n=2). (more information see 'An Introduction to Quantum Field Theory' by Peskin & Schroeder, Section 4.2 : Perturbation Expansion of Correlation Functions )
==See also==

* Connected correlation function
* One particle irreducible correlation function
* Green's function (many-body theory)
* Partition function (mathematics)

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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