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A rigorous approach to the Chern-Simons path integral
Apr 21, 2010 . (P2) Rigorous definition of original Chern-Simons path integral expressions . Special case: D(L) has no crossing points (G is general). |L| = ? .


why path integrals not rigorous

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Path integral - Scholarpedia
Dec 15, 2011 . A rigorous study of the mathematical properties of path and field integrals is an open subtopic of functional analysis and will not dealt with here.

Rigorous real-time Feynman path integral for vector potentials ...
Our formulation of the path integral will be derived on the L2 transition probability amplitude via improper . For journals that do not use volume numbers - ie.

Mathematics of path integral: state of the art - MathOverflow
Mar 27, 2010 . I was not asking about reference for books/articles in which the path . Therefore, if we wish to make path integrals "rigorous", we must find .

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Path integrals, localisation - MathOverflow
Mar 9, 2010 . Physicists use the "Atiyah-Bott formula" for path "integrals" (for instance the . As in is there a rigorous localisation formula for infinite dimensional integration? . are not the right approach for doing Feynman path integrals.


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Mathematics of the Feynman path integral Vassili N. Kolokoltsov - IMA
of the function exp{iS}, where S is the classical action along the paths. It seems that. rigorously the corresponding measure was not constructed even for the case .

A rigorous path integral for quantum spin using flat-space Wiener ...
May 28, 1999 . derive a rigorous continuum path-integral formula for the semigroup . to hold not only for the polynomial Hamiltonians H resulting from the .

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Functional integrals, Wightman functions, and rigorous QFT
For rigorous quantum field theory one essentially avoids the path integral, because it is difficult to give it a rigorous meaning when the action is not quadratic.