The problem is on pages 323 and 324 of the second edition.
[tex]mathcal{L} = -frac{1}{4}F_{munu}(x)F^{munu}(x) - frac{1}{2alpha}(partial_{mu}A^{mu})^2[/tex]
show that the momentum space photon propoagator is given by
[tex]D_F^{munu}(k) = frac{-g^{munu} + delta k^{mu}k^{nu}/k^2}{k^2 + iepsilon}[/tex]
[tex]delta = 1 - alpha^{-1}[/tex]
[tex]delta = 1 - alpha[/tex]
but not with the delta stated in the book.
My question is this:
Should the book say [itex]delta = 1 - alpha[/itex] and not [itex]delta = 1 - alpha^{-1}[/itex]?
Homework Statement
- Get this from a library! Ji chu liang zi chang lun xi ti jie da = Quantum field theory solutions manual. Man de, (Mandl F.(Franz) 1923- ); F Mandl; G Shaw; Xiao ao, (Shaw G.(Graham) 1942- ); Zongwei Chen, (wu li xue).
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Given the lagrangian![Solution Manual Mandl Solution Manual Mandl](https://vancouverboudoir.com/images/688471.jpg)
show that the momentum space photon propoagator is given by
[tex]D_F^{munu}(k) = frac{-g^{munu} + delta k^{mu}k^{nu}/k^2}{k^2 + iepsilon}[/tex]
Homework Equations
[tex]delta = 1 - alpha^{-1}[/tex]
The Attempt at a Solution
Solution Manual For Textbooks
I can solve this problem if I set[tex]delta = 1 - alpha[/tex]
but not with the delta stated in the book.
My question is this:
Should the book say [itex]delta = 1 - alpha[/itex] and not [itex]delta = 1 - alpha^{-1}[/itex]?