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Path integral may refer to: 1  Line integral, the integral of a function along a curve. 2  Functional integration, the integral of a functional over a space of curves. 3  Path integral formulation of quantum mechanics using functional integration, due to Richard Feynman.
Hereâ¢s an elementary explanation of the mathematics behind Feynmanâ¢s path integral, along with a very. simpliâed overview of its application to self-interacting quantum âeld theory (QFT), also known as Ë4 scalar. âeld theory. Although itâ¢s elementary, thereâ¢s enough information to provide a basic understanding of what. the path integral is and how it leads to a many-particle interpretation in QFT. The discussion is very detailed. in some of the âner points, and some of the material is just plain overkill, so itâ¢s rather longer than I wanted.