Why they often consider zero mass limit when considering mass evolution(renormaliztn)

In summary, the zero mass limit is frequently used in renormalization because it simplifies calculations and reveals underlying symmetries in the theory. It is significant because it removes divergent contributions to the mass of particles and ensures consistency and predictability at high energies. However, it may not accurately reflect the behavior of particles with non-zero masses. The zero mass limit is closely related to the concept of renormalization in quantum field theory as it helps to remove infinities and is a key step in the process.
  • #1
ndung200790
519
0
Please teach me this:
Why some books only consider zero mass limit when they consider the renormalization group.I have been wondered this because the mass parameter multiplying with relevant operator,it become growth when momentum grows.
Thank you very much in advance.
 
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  • #2


It seem that in high energy physics,we can consider the mass of particle is small.But how about the other physics?
 
  • #3


''Zero mass limit'' I mean that we could use perturbative theory with mass parameter.
 

1. Why is the zero mass limit frequently considered when studying mass evolution in renormalization?

The zero mass limit is often considered because it simplifies the calculations and allows for easier analysis of the behavior of particles at high energies. Additionally, it can help to reveal underlying symmetries in the theory.

2. What is the significance of the zero mass limit in renormalization?

The zero mass limit is important because it allows for the removal of any divergent contributions to the mass of a particle, resulting in a finite and physically meaningful value. It also helps to ensure the consistency and predictability of the theory at high energies.

3. How does the zero mass limit affect the behavior of particles in renormalization?

The zero mass limit can change the behavior of particles in a renormalization calculation by altering their interactions and symmetries. It can also impact the overall structure and renormalization group flow of the theory.

4. Are there any limitations to using the zero mass limit in renormalization?

While the zero mass limit is useful in simplifying calculations, it may not always accurately reflect the behavior of particles at high energies. This is because some particles may have non-zero masses, and their interactions may be affected by this mass.

5. How does the zero mass limit relate to the concept of renormalization in quantum field theory?

The zero mass limit is closely related to the concept of renormalization in quantum field theory as it helps to remove any divergent contributions to the mass of particles, allowing for a consistent and predictable theory. It is also a key step in the renormalization process of removing infinities from calculations.

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