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npoin
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There are 5 letters in NPOIN ( I1N1O1P3 )
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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 * * * {\displaystyle n} * field operators at different positions* * * * * C * * n * * * ( * * x * * 1 * * * , * * x * * 2 * * * , * … * , * * x * * n * * * ) * := * * ⟨ * * ϕ * ( * * x * * 1 * * * ) * ϕ * ( * * x * * 2 * * * ) * … * ϕ * ( * * x * * n * * * ) * * ⟩ * * = * * * * ∫ * * * D * * * ϕ * * * e * * − * S * [ * ϕ * ] * * * ϕ * ( * * x * * 1 * * * ) * … * ϕ * ( * * x * * n * * * ) * * * ∫ * * * D * * * ϕ * * * e * * − * S * [ * ϕ * ] * * * * * * * * {\displaystyle 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 {\mathcal {D}}\phi \;e^{-S[\phi ]}\phi (x_{1})\ldots \phi (x_{n})}{\int {\mathcal {D}}\phi \;e^{-S[\phi ]}}}} * For time-dependent correlation functions, the time-ordering operator * * * * T * * * {\displaystyle 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). |