Common integrals in quantum field theory: Difference between revisions

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This is best illustrated with a two-dimensional example.
 
===Example: Simple gaussianGaussian integration in two dimensions===
The gaussianGaussian integral in two dimensions is
 
:<math>\int \exp\left( - \frac 1 2 A_{ij} x^i x^j \right) d^2x = \sqrt{\frac{(2\pi)^2}{\det A}}</math>