Divergence of the amplitude for a Feynman diagram

AI Thread Summary
The discussion centers on the divergence of the amplitude in a specific Feynman diagram as outlined in Voja Radovanovic's Problem Book on Quantum Field Theory. Participants are examining why certain integrals in the calculation are divergent while others remain finite. There is a call for clarification on the physical significance of these results, indicating a need for deeper understanding of the implications of divergence in quantum field theory. The conversation highlights the complexities involved in interpreting these mathematical outcomes. Overall, the thread seeks to unravel the reasons behind the divergence and its relevance in the broader context of quantum physics.
Raymont
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1. The problem statement
In calculating the amplitude for the diagram[1], view 1.jpg.
[1] Voja Radovanovic, Problem Book Quantum Field Theory

2. Homework Equations
View 2.jpg.

The Attempt at a Solution


View 3.jpg.[/B]
Why the integrals is divergent? Why the other terms are finite?
 

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The physical significance of the results are not very clear, can anyone explain it?
 
Thread 'Help with Time-Independent Perturbation Theory "Good" States Proof'

Thread 'Help with Time-Independent Perturbation Theory "Good" States Proof'

(Disclaimer: this is not a HW question. I am self-studying, and this felt like the type of question I've seen in this forum. If there is somewhere better for me to share this doubt, please let me know and I'll transfer it right away.) I am currently reviewing Chapter 7 of Introduction to QM by Griffiths. I have been stuck for an hour or so trying to understand the last paragraph of this proof (pls check the attached file). It claims that we can express Ψ_{γ}(0) as a linear combination of...
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