No problem, happy to help! Enjoy your vacation!

In summary, the conversation discusses the concepts of self energy, bare mass, and vacuum fluctuations in relation to the electron and whether they would also apply to a scalar field such as the Higgs field and a neutral scalar particle like the Higgs boson. The second part of the conversation delves into the similarities and differences between Sakurai's pion field and the Higgs scalar field.
  • #1
HeavyWater
56
4
I have been going through chapter 2 of Sakurai; the 1967 edition. Chapter 2 gets into the self energy of the electron, the concept of the bare mass of the electron, and vacuum fluctuations. Would these same concepts (self energy, bare mass, and vacuum fluctuations) apply to a scalar field (e g the Higgs field) and a neutral scalar particle such as the Higgs boson? In chapter 1, Sakurai derives the Yukawa potential for a scalar field and identifies the pion mass with the interaction energy (see his equation 1.44). Could one associate the scalar field with the Higgs scalar field and the neutral scalar particle with the Higgs boson?
 
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  • #2
HeavyWater said:
I have been going through chapter 2 of Sakurai; the 1967 edition. Chapter 2 gets into the self energy of the electron, the concept of the bare mass of the electron, and vacuum fluctuations. Would these same concepts (self energy, bare mass, and vacuum fluctuations) apply to a scalar field (e g the Higgs field) and a neutral scalar particle such as the Higgs boson?
Yes.
HeavyWater said:
In chapter 1, Sakurai derives the Yukawa potential for a scalar field and identifies the pion mass with the interaction energy (see his equation 1.44). Could one associate the scalar field with the Higgs scalar field and the neutral scalar particle with the Higgs boson?
Not quite sure what you're asking here. The Standard Model is a specific quantum field theory that includes a scalar field corresponding to the Higgs boson. This is not the same as Sakurai's pion field.
 
  • #3
Avodyne said:
Yes.
Not quite sure what you're asking here. The Standard Model is a specific quantum field theory that includes a scalar field corresponding to the Higgs boson. This is not the same as Sakurai's pion field.

Thank you Avodyne. I just returned from a vacation, otherwise I would have thanked you earlier.
 

1. What is the Higgs boson and why is its self energy important?

The Higgs boson is a subatomic particle that is theorized to give other particles mass. Its self energy refers to the energy that the Higgs boson itself has due to its interactions with other particles. This is important because it helps explain the origin of mass in the universe.

2. How is the self energy of the Higgs boson calculated?

The self energy of the Higgs boson is calculated using a mathematical concept called quantum field theory. This theory takes into account the interactions between particles and their corresponding fields, and can be used to calculate the energy of the Higgs boson.

3. Is the self energy of the Higgs boson the same as its mass?

No, the self energy of the Higgs boson is not the same as its mass. The mass of the Higgs boson is a physical property that can be measured, while the self energy is a theoretical concept used to explain the behavior of the Higgs boson.

4. How does the self energy of the Higgs boson affect other particles?

The self energy of the Higgs boson affects other particles by giving them mass. According to the theory of the Higgs field, particles gain mass by interacting with the Higgs boson, which in turn has a self energy due to these interactions.

5. Are there any practical applications of studying the self energy of the Higgs boson?

Studying the self energy of the Higgs boson can help us better understand the fundamental forces and particles of the universe. It can also provide insight into the origin of mass and potentially lead to new technologies or advancements in our understanding of the universe.

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