There are a lot of books dealing with Feynman path integrals. Are there any online courses introducing Feynman path integrals and their applications?
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I have gone through these lectures and enjoyed them.
The layout of the course is pretty much this:
- Construction of Q.M. Path Integral
- Euclidean Path Integral, Connection with S.M.
- Path Integral of a Scalar Field
- Feynman Rules resulting from the Path Integral treatment
- Generating Functionals / 1-loop Effective Actions
- Renormalization of Scalar Theory
- Grassmann Calculus & Fermionic Path Integrals
- Non Abelian Gauge Theory
- Gauge Fixing the Path Integral, Faddeev-Popov Determinant & Ghosts
- Renormalization of Non-Abelian Gauge Theory
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If you are looking for a full semester course online, the Urbana campus at the University of Illinois offers a good calc sequence online called Netmath, and they cover working with and applications of path integrals.
Or are you looking for something shorter, or free, or cheaper:
There are some online textbooks/notes pages from various colleges as well as interactive graphing of line integrals. Others are non-interactive like e-textbooks, many free or free to subscribing universities. Possibly supplemented by something like Wolfram Alpha online to check answers and work on basic integrals.
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