Graduate How to calculate Feynman amplitude in Fish diagram

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SUMMARY

This discussion focuses on calculating the Feynman amplitude for a specific Fish diagram, particularly in the context of quantum field theory (QFT). The user seeks step-by-step study materials for understanding this process, emphasizing cases where particles x_3 and x_4 can be scalar, fermion, or gauge boson. Recommended resources include QFT texts such as "Quantum Field Theory in a Nutshell" by Srednicki and "An Introduction to Quantum Field Theory" by Peskin & Schroeder, specifically referencing Section 5.4.3 for simple ##\phi^4## theory.

PREREQUISITES
  • Understanding of tree-level Feynman diagrams
  • Familiarity with quantum field theory (QFT) concepts
  • Knowledge of scalar, fermion, and gauge boson particles
  • Basic proficiency in mathematical techniques used in QFT
NEXT STEPS
  • Study "Quantum Field Theory in a Nutshell" by Srednicki for foundational concepts
  • Explore "An Introduction to Quantum Field Theory" by Peskin & Schroeder for detailed calculations
  • Review Section 5.4.3 of the provided lecture notes on ##\phi^4## theory
  • Practice calculating Feynman amplitudes for various particle interactions
USEFUL FOR

This discussion is beneficial for physics students, researchers in quantum field theory, and anyone interested in advanced particle physics calculations.

Alpha2021
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I am familiar with the process of calculating cross sections using tree-level Feynman diagrams. Currently, I'm keen on learning how to calculate the Feynman amplitude for a specific diagram displayed in the attached images. I'm wondering if there are any study materials available that offer a step-by-step approach to comprehending and calculating this particular process. Specifically, I'm interested in cases where x_3 and x_4 can be either scalar, fermion, or gauge boson particles.
hqbc.jpg
vqvxq.jpg
 
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Any QFT book, like Srednicki or Peskin & Schroeder
 
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