What is the explanation behind loops as O(h) corrections in tree level diagrams?

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In summary, loops in tree level diagrams are lines that represent the internal structure of particles in a Feynman diagram. They play a significant role in quantum field theory, introducing corrections to the tree level diagrams and allowing for higher order corrections. The presence of loops affects the calculation of physical quantities, introducing a factor of O(h) due to the contribution of virtual particles. These loops are considered O(h) corrections because of the energy and lifetime of the virtual particles. While in most cases loops can be neglected in tree level diagrams, they are necessary in high precision calculations to obtain accurate results.
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tree level diagrams are classical, and loops are corrections of order h. what is a good derivation or explanation of this?
 
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Ryder, Quantum Field Theory, page 317.
 
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Related to What is the explanation behind loops as O(h) corrections in tree level diagrams?

1. What is the significance of loops in tree level diagrams?

Loops in tree level diagrams represent virtual particles that are exchanged between the particles in the diagram. These virtual particles contribute to the overall interaction and can affect the properties of the particles involved.

2. Why are loops considered as O(h) corrections?

Loops are considered as O(h) corrections because they introduce higher-order terms in the calculation of the interaction amplitude. These terms are proportional to the coupling constant h, which represents the strength of the interaction.

3. How do loops affect the accuracy of tree level diagrams?

Loops can significantly affect the accuracy of tree level diagrams by introducing higher-order corrections that can change the predicted values of physical observables. These corrections must be taken into account in order to accurately describe experimental results.

4. Can loops be neglected in tree level diagrams?

No, loops cannot be neglected in tree level diagrams as they play a crucial role in determining the properties and interactions of particles. Neglecting loops can lead to incorrect predictions and inaccurate descriptions of physical phenomena.

5. Are there any limitations to the use of loops in tree level diagrams?

Yes, there are limitations to the use of loops in tree level diagrams. These limitations arise from the fact that loop calculations can become increasingly complex and difficult to perform as the number of particles and interactions involved in the diagram increases. In some cases, alternative methods must be used to calculate loop corrections.

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