What is a application of linear sigma model?

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Discussion Overview

The discussion revolves around the applications and implications of the linear sigma model, particularly in the context of particle interactions, such as those involving pions and the strong force. Participants explore theoretical aspects and historical context related to the model.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant seeks clarification on the interactions described by the linear sigma model and its purpose.
  • Another participant mentions that the model describes pion interactions at low energy but questions the nature of pions.
  • A participant provides a link to a Wikipedia article about pions, indicating an interest in further information.
  • There is a question regarding the necessity of meson particles in describing subatomic phenomena, given that the strong force is carried by gluons as per SU(3) symmetry.
  • One participant theorizes that the interaction between protons and neutrons in atomic nuclei is a residual strong interaction mediated by virtual pions, drawing a parallel to Van der Waals forces.
  • A later post reiterates the same theory about the interaction between protons and neutrons, emphasizing the role of virtual pions in this context.

Areas of Agreement / Disagreement

The discussion contains multiple competing views regarding the role of the linear sigma model and the necessity of mesons in particle interactions. Participants express uncertainty about the current relevance of Yukawa's theory and the nature of interactions at play.

Contextual Notes

There are unresolved questions about the definitions of terms like "virtual" particles and the specific interactions described by the linear sigma model. The discussion also reflects varying levels of understanding among participants regarding the strong force and its mediators.

Who May Find This Useful

This discussion may be of interest to those studying particle physics, particularly in relation to the strong force, meson interactions, and theoretical models like the linear sigma model.

ndung200790
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Please teach me this:
Which interaction is the result of linear sigma model.Please teach me what purpose the linear sigma model implies?
Thank you very much in advanced.
 
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I have just heard that this model describe the pions interaction at low energy.But what is pion particles?
 
It seem to me the strong force is carried by gluon resulted by SU(3),why we need meson particles to describe the subatomic phenomena?Is Yukawa theory a old theory(not using at the moment)?
 
At the moment,I have just known that the interaction between protons and neutrons to form atomic nucleus is residual interaction caused strong interaction carried by gluons similar with the corresponding between Van der Waals force and electromagnetic.This interaction is theorized by ''virtual'' pion particles.Is that correct?Thank you very much for any your teaching.
 
ndung200790 said:
At the moment,I have just known that the interaction between protons and neutrons to form atomic nucleus is residual interaction caused strong interaction carried by gluons similar with the corresponding between Van der Waals force and electromagnetic.This interaction is theorized by ''virtual'' pion particles.Is that correct?Thank you very much for any your teaching.

Sorry,...residual interaction caused by strong interaction...
 

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