S-Channel Process: a+b->c+d Diagrams

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SUMMARY

The discussion focuses on the S-Channel process represented by the reaction a+b->c+d, specifically addressing the two time-ordered diagrams associated with this process. One diagram represents the annihilation of particles a and b into a photon, which then produces particles c and d. The second time-ordered diagram emphasizes the importance of vertex ordering, where the annihilation vertex precedes the photon emission vertex, distinguishing it from standard Feynman diagrams that combine both into a single representation.

PREREQUISITES
  • Understanding of S-Channel processes in particle physics
  • Familiarity with time-ordered diagrams
  • Knowledge of Feynman diagrams and their conventions
  • Basic concepts of particle annihilation and photon interactions
NEXT STEPS
  • Study time-ordered diagrams in quantum field theory
  • Explore the differences between time-ordered diagrams and Feynman diagrams
  • Learn about particle annihilation processes and their implications
  • Investigate the role of virtual particles in S-Channel interactions
USEFUL FOR

Particle physicists, students of quantum field theory, and anyone interested in understanding the nuances of S-Channel processes and time-ordered diagrams.

Silviu
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Hello I encountered a problem in which it is specify that there are 2 time-ordered diagram for the s-channel for a certain process a+b->c+d. I understand that there is the one that can be associated with annihilation, but what would be a second one?

Thank you!
 
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Silviu said:
Hello I encountered a problem in which it is specify that there are 2 time-ordered diagram for the s-channel for a certain process a+b->c+d. I understand that there is the one that can be associated with annihilation, but what would be a second one?

Thank you!
If you are working with time-ordered diagrams, things are different than with usual Feynman diagrams.
One of the time ordered diagrams is the one you have in mind. For the second, a and b annihilate into a photon (or whatever you are dealing with), this photon travels then the left (it travels "back in time") and then it produces c and d. In other words, in time ordered diagrams, the time ordering of the vertices is crucial, having the vertex "a+b to a photon" before the vertex "photon to c+d" is different from the other ordering. The usual Feynman diagram combines these two into a single expression.
 
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