Functional Integration

*To*: mathgroup at smc.vnet.net*Subject*: [mg83067] Functional Integration*From*: Paul <paulbird at whsurf.net>*Date*: Fri, 9 Nov 2007 05:16:25 -0500 (EST)

I wondered if it is possible to do "functional integration" in Mathematica? e.g. something like: FunctionalIntegral[ exp[ - Int[ F(x)*D(x,y)*F(x) ,x,y] ] * F(a) * F(b) , F ] = D^(-1)(a,b) where D^(-1) is the inverse of the continuous matrix D. Since things like field theory and string theory are based on functional integrals this would be a very useful thing to have. Plus since most solvable functional integrals are simple Gaussians then this shouldn't be too hard to implement(?) If not, are there any plans to implement this in future versions of Mathematica?