What is a loop (in Feynman Diagrams)?

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A loop in Feynman diagrams represents self-interaction, modeled by a mass factor of -im^2, allowing for off-shell or virtual particles. The initial and final momenta are the same, indicating no boundary on allowed momenta within the loop. While self-interactions can be represented as loops, not all are virtual particles; only those constrained by specific momenta are considered. The significance of the loop increases when additional external lines are present, indicating new physical processes. Overall, the discussion highlights the complexity of interpreting loops in the context of particle interactions.
Sekonda
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Hey,

I was wondering what exactly a loop is of this kind :

Loop.png


I understand the initial & final four momentums to be the same and so there is no boundary on the possible allowed momentums in the loop.

My professor said the loop is equal to (or can be modeled as) the self-interaction by mass with factor -im^2.

My question is what does this loop represent? I think it is just a self-interaction which can take any momentum by means of 'off-shell' or virtual particles, does this mean all self-interactions regardless of their momenta are virtual particles when represented by a loop or only ones constrained to some set of momenta's?

Thanks,
SK
 
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That particular loop doesn't make much sense, since it gets absorbed in the definition of a proton. Where it matters is when you have additional external lines on the loop. These represent new physical processes.
 
Time reversal invariant Hamiltonians must satisfy ##[H,\Theta]=0## where ##\Theta## is time reversal operator. However, in some texts (for example see Many-body Quantum Theory in Condensed Matter Physics an introduction, HENRIK BRUUS and KARSTEN FLENSBERG, Corrected version: 14 January 2016, section 7.1.4) the time reversal invariant condition is introduced as ##H=H^*##. How these two conditions are identical?

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