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- W2141175879 abstract "The free energy of a field theory can be considered as a functional of the free correlation function. As such it obeys a nonlinear functional differential equation that can be turned into a recursion relation. This is solved order by order in the coupling constant to find all connected vacuum diagrams with their proper multiplicities. The procedure is applied to a multicomponent scalar field theory with a ${ensuremath{varphi}}^{4}$ self-interaction and then to a theory of two scalar fields ensuremath{varphi} and A with an interaction ${ensuremath{varphi}}^{2}A.$ All Feynman diagrams with external lines are obtained from functional derivatives of the connected vacuum diagrams with respect to the free correlation function. Finally, the recursive graphical construction is automatized by computer algebra with the help of a unique matrix notation for the Feynman diagrams." @default.
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- W2141175879 date "2000-08-01" @default.
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- W2141175879 title "Recursive graphical construction of Feynman diagrams and their multiplicities in<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mrow><mml:msup><mml:mrow><mml:mi>φ</mml:mi></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>and<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mrow><mml:msup><mml:mrow><mml:mi>φ</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:mrow><mml:mi>A</mml:mi…" @default.
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- W2141175879 doi "https://doi.org/10.1103/physreve.62.1537" @default.
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