Draw Feynman Diagrams: e+e- to e+e-, μ+μ-, γ e-

In summary, the Feynman diagrams for the processes (i) e+e- ----> e+e-, (ii) e+e- ----> μ+μ-, and (iii) γe- ------> γe- are all single photon exchanges between the particles involved, with the appropriate incoming and outgoing particles. The diagrams are the same, with the only difference being the types of particles involved.
  • #1
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Homework Statement


Draw the Feynman diagram vertex corresponding to the interaction Lint = eAμJμ,
where Aμ is the electromagnetic field and e is the coupling constant. Draw all the Feynman
diagrams in quantum electrodynamics to O(e2) describing the processes:
(i) e+e- ----> e+e-,
(ii) e+e- ----> μ+μ-
(iii)γ e- ------> γ e-


Homework Equations




Any ideas on how i should approach this question?
 
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The AnswerFor (i), the Feynman diagram is a single photon exchange between the two electrons. It looks like this: /-\ ( e-) / \ v v | |(e+e-) -------------> | | --------------> (e+e-) |___| | | |___| V V / \ (e+) \-/ \___/ For (ii) and (iii), the diagrams are the same as above, but with the incoming and outgoing particles changed to the appropriate particles. For example, for (ii) the diagram would look like this: /-\ ( μ-) / \ v v | |(e+e-) -------------> | | --------------> (μ+μ-) |___| | | |___| V V / \ (e+) \-/ \___/
 

FAQ: Draw Feynman Diagrams: e+e- to e+e-, μ+μ-, γ e-

1. What are Feynman diagrams?

Feynman diagrams are graphical representations of particle interactions in quantum field theory. They were developed by physicist Richard Feynman and are used to calculate the probabilities of different particle interactions.

2. What is the process for drawing Feynman diagrams?

To draw a Feynman diagram, you first identify the initial and final particles involved in the interaction. Then, you draw lines representing the particles, with arrows indicating their direction of motion. Additionally, you draw wavy lines to represent the exchange of virtual particles between the interacting particles.

3. How do you draw a Feynman diagram for the process e+e- to e+e-?

In this process, the initial particles are an electron and a positron, and the final particles are also an electron and a positron. The Feynman diagram would consist of two incoming lines, representing the electron and positron, and two outgoing lines, representing the same particles. There would also be a wavy line connecting the incoming and outgoing lines to represent the exchange of a virtual photon.

4. Can Feynman diagrams be used to calculate the probability of any particle interaction?

Yes, Feynman diagrams can be used to calculate the probabilities of all fundamental particle interactions. They are a powerful tool in understanding and predicting the behavior of particles at a subatomic level.

5. Are there any alternative methods to representing particle interactions besides Feynman diagrams?

Yes, there are other methods such as using mathematical equations and diagrams called Penrose diagrams. However, Feynman diagrams are the most commonly used and intuitive method for representing particle interactions.

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