Field calculus: quantum and statistical field theory without the feynman diagrams

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    J.E. Gough Let G: G (E) 7→ C. For X={x1,.., xn } ∈ M (E), the authors may write G(X) ≡ Gn (x1,.., xn ) where the authors now think of Gn as a completelyPsymmetric R function of n-variables. The family may then be identified as a function G: M (M ) 7→ C by G(X) ≡ Gn (x1,.., xn ), whenever X={x1,.., xn } is a multiset. The measure dx at level 1 induces the Guichardet measure dX, at level 2 and the authors have specifically Z X 1 Z G(X)dX ≜ Gn (x1 . . .

     

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