Translational symmetry: Difference between revisions

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en>Quodfui
Edited a statement which seemed to imply spatial translation symmetry was the only kind of translation symmetry to which Noether's theorem was applicable (I'm kind of an expert in this area).
en>Sumeruhazra
 
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{{other uses2|Correlation function}}
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{{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 <math>n</math> [[field operator]]s at different positions
 
:<math>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[\phi]}\phi(x_1)\ldots \phi(x_n)}{\int D \phi \; e^{-S[\phi]}}
</math>
 
For the time dependent correlation functions, the [[time ordering|time-ordering operator]] <math>T</math> 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.
 
==See also==
* [[Connected correlation function]]
* [[One particle irreducible correlation function]]
* [[Green's function (many-body theory)]]
* [[Partition function (mathematics)]]
 
==References==
===Books===
* Alexander Altland, Ben Simons (2006): ''Condensed Matter Field Theory'' Cambridge University Press
 
{{DEFAULTSORT:Correlation Function (Quantum Field Theory)}}
[[Category:Covariance and correlation]]
[[Category:Quantum field theory]]
 
 
{{Quantum-stub}}

Latest revision as of 12:19, 2 November 2014

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Here is my weblog ... hack clash of clans 2014

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