What are the key concepts in Srednicki's explanation of Feynman diagrams in QFT?

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The forum discussion centers on understanding Feynman diagrams as explained in Srednicki's Quantum Field Theory (QFT) book, particularly the complexities surrounding equation 9.11. Users express confusion regarding the counting factors, combinations of sources and derivatives, and the role of symmetry factors in determining the number of Feynman diagrams. The discussion highlights that the total combinations for connected diagrams can be calculated using specific counting factors, and emphasizes the importance of recognizing both connected and disconnected diagrams in contributing to the overall count of combinations.

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  • Understanding of Feynman diagrams in Quantum Field Theory (QFT)
  • Familiarity with combinatorial mathematics, specifically factorial calculations
  • Knowledge of the concepts of connected and disconnected diagrams
  • Basic grasp of Srednicki's Quantum Field Theory, particularly equations 9.11 and 9.12
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  • Learn about the significance of symmetry factors in quantum field theory calculations
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  • #31
I see.

d(x1)d(x2)d(x3)d(w1)d(w2)d(w3) J(y1)J(z1)J(y2)J(z2)J(y3)J(z3)=
d(x1)d(x2)d(x3)d(w1)d(w2)[J(y1)J(z1)J(y2)J(z2)J(y3)Delta(w3-z3) +J(y1)J(z1)J(y2)J(z2)Delta(w3-y3)J(z3)+...]
=d(x1)d(x2)d(x3)d(w1)[J(y1)J(z1)J(y2)J(z2)Delta(w2-y3)Delta(w3-z3) +d(x1)d(x2)d(x3)d(w1)[J(y1)J(z1)J(y2)Delta(w2-z2)J(3)Delta(w3-z3)+..+ J(y1)J(z1)J(y2)J(z2)Delta(w3-y3)Delta(w2-z3)+...]= and so on

makes 6! terms

thank you!
 
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  • #32
Yes. But just to be absolutely clear on the notation, the delta's on the right-hand side are Dirac delta functions \delta^4(x-y) and not Feynman propagators \Delta(x-y).
 
  • #33
I was celebrating the last days that I had finally understood 9.11.

But as read on just two pages later, Srednicki hit me with it. Out of blue he is claiming, that what we have so far computed, which happened to be connected diagrams, are not the only contributions to Z(J). We also have to take account of products of several connected diagrams.

How can that be? When I look at 9.11, from where in the world should the need arise to form products of several connected diagrams?

thanks
 
  • #34
After some thought I see now what he means.

Silly question!
 
  • #35
I found a website that discusses the chapter you're on, though I'm not sure if it'll be helpful:

http://www.physics.indiana.edu/~dermisek/QFT/qft-II-1-4p.pdf
 
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  • #36
Great find, RedX!

Glad to know that you like the book, too.

I'm very soon entering the chapters on renormalization. Even though I try to take Srednicki's advice 'reading passages you don't get four times' more to heart, I will surely turn to physics forums for some more help.
 

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