Peskin and Schroeder - page 4 - choice of notation

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SUMMARY

The discussion centers on the notation used in Peskin and Schroeder's diagram on page 4, which depicts the collision of electron and positron beams resulting in muon beams. The notation for momenta is questioned, specifically the use of ##\textbf{p}## for electrons and positrons, and ##\textbf{k}## for muons. It is established that while ##\textbf{p}## typically denotes momentum, ##\textbf{k}## is often associated with wavevector, but in natural units where ##\hbar=1##, this distinction may not hold significant physical implications. The varying symbols are primarily contextual, serving to avoid confusion with other quantities.

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spaghetti3451
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In page 4, Peskin and Schroeder has the following diagram:

Capture.jpg


The diagram shows the collision of an electron beam and a positron beam to produce a ##\mu^{+}## beam a ##\mu^{-}## beam.

My question is this:

The electron and positron beams are shown to have momenta ##\textbf{p}## and ##\textbf{p}'##.

But the muon beams are shown to have momenta ##\textbf{k}## and ##\textbf{k}'##.

##\textbf{p}## is standard notation for momentum, but ##\textbf{k}## is standard notation for wavevector. But then, in natural units, ##\hbar=1##.

Therefore, is the different use of symbols for momenta a matter of notational difference, or is there some underlying physics I am missing?
 
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You can call things whatever you like as long as you define what is meant. Throughout PS you will notice p, k, and q being used to denote different momenta (and more importantly, 4-momenta) simply for the reason that the others are being used to denote something else in the particular context.
 
Thanks! :)
 

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