# Is there a relation between a soliton and a Goldstone boson?

• I
• phoenix95
In summary, the conversation discusses the similarities between a soliton and a Goldstone boson, both of which interpolate between vacua. While the notes describe the soliton classically, there may not be a direct relation between the two. The sine-Gordon soliton separates different vacuum states, while a Goldstone boson separates states within a single vacuum. The fields that produce these particles are also different, with the soliton involving a scalar field in symmetry breaking and Goldstone bosons arising from broken symmetries.
phoenix95
Gold Member
I am currently reading this notes by t'Hooft, and I realized that a soliton and a Goldstone boson behave in a similar way: Both of them interpolate between the vacua. Keeping in mind Soliton is described classically in the notes(atleast until first few sections in chap1), Is there a relation between a soliton and a Goldstone boson?

I don't think so. With the sine-Gordon soliton in mind, it can be seen that the states to the right and left of a soliton are the same vacuum states, while a Goldstone boson separates different vacua.

phoenix95
I understand what you meant. moreover the fields that spawns these particle are completely different: Φ is the scalar field in symmetry breaking where as Goldstone bosons follow from broken symmetries. Thanks for the help.

## 1. What is a soliton?

A soliton is a type of wave that maintains its shape and travels at a constant speed without losing energy due to interactions with other waves.

## 2. What is a Goldstone boson?

A Goldstone boson is a type of elementary particle that arises from spontaneous symmetry breaking in quantum field theory. It is responsible for mediating interactions between particles and is associated with the Higgs mechanism in the Standard Model of particle physics.

## 3. Is there a relation between solitons and Goldstone bosons?

Yes, there is a relation between solitons and Goldstone bosons. Both are non-perturbative phenomena that arise from nonlinear systems, and they can interact with each other in certain systems.

## 4. How are solitons and Goldstone bosons studied in science?

Solitons and Goldstone bosons are studied in various fields of science, including physics, mathematics, and engineering. They are often studied through theoretical models and mathematical calculations, as well as through experiments and observations in different systems.

## 5. What are the potential applications of understanding the relation between solitons and Goldstone bosons?

The understanding of the relation between solitons and Goldstone bosons has potential applications in various fields, such as in designing more efficient communication systems, developing new materials with unique properties, and improving our understanding of fundamental particles and their interactions in the universe.

• High Energy, Nuclear, Particle Physics
Replies
4
Views
2K
• High Energy, Nuclear, Particle Physics
Replies
8
Views
2K
• Beyond the Standard Models
Replies
0
Views
990
• Quantum Interpretations and Foundations
Replies
21
Views
2K
• High Energy, Nuclear, Particle Physics
Replies
6
Views
6K
• High Energy, Nuclear, Particle Physics
Replies
6
Views
1K
Replies
30
Views
827
• Science and Math Textbooks
Replies
46
Views
3K
• Special and General Relativity
Replies
50
Views
2K
• Quantum Physics
Replies
1
Views
1K