Referencess on Dynamical Symmetry Breaking

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Discussion Overview

The discussion centers around Dynamical Symmetry Breaking, specifically focusing on the Nambu-Jona-Lasinio model and its implications for particle mass. Participants seek references and clarification on mathematical aspects related to quantum field theory (QFT).

Discussion Character

  • Exploratory
  • Technical explanation
  • Homework-related

Main Points Raised

  • One participant requests references on Dynamical Symmetry Breaking and specifically mentions the Nambu-Jona-Lasinio model.
  • Another participant provides references to key papers by Nambu and Jona-Lasinio, Anderson, and Higgs, suggesting their relevance to the topic.
  • A participant expresses gratitude for the references but indicates a lack of familiarity with the mathematics of QFT, asking for help with a specific formula related to self-energy in the Nambu and Jona-Lasinio paper.
  • A later reply discusses the self-energy term's derivation, noting its dependence on the single-particle Green's function and the interactions considered, while recommending additional references for further reading.

Areas of Agreement / Disagreement

Participants generally agree on the importance of the referenced papers but do not reach a consensus on the specific mathematical derivation of the self-energy part or its interpretation as a mass operator.

Contextual Notes

The discussion reflects varying levels of familiarity with QFT mathematics among participants, and there are unresolved questions regarding the derivation of specific formulas and concepts.

Who May Find This Useful

This discussion may be useful for those interested in theoretical physics, particularly in the areas of quantum field theory and particle physics, as well as students seeking references and clarification on related mathematical concepts.

Neitrino
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I would much appreciate if anyone could give me some tips/referencess on Dynamical Symmetry Breaking. Namely detailed referrence on Namby Jona-lasinio model of mass for particles.
 
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Neitrino said:
I would much appreciate if anyone could give me some tips/referencess on Dynamical Symmetry Breaking. Namely detailed referrence on Namby Jona-lasinio model of mass for particles.

If you mean "Namby" as in Yoichiro Nambu, then the symmetry breaking paper that you want is

Y. Nambu and G Jona-Lasinio, Phys. Rev. v.122, p.345 (1961).

However, you need to also look at Anderson's work on the Goldstone boson that showed that such a thing can have a mass

P W Anderson, Phys. Rev. v.130, p.439 (1963).

Both of these are crucial in the Higgs paper:

P W Higgs, Phys. Lett. v.12, p.132 (1964).

Zz.
 
Thank you for referrences much appreciate ur help.
Unfortunateli I am not quite familiar with math of QFT
could anybody help me...in following..

In Paper Y. Nambu and G Jona-Lasinio, Phys. Rev. v.122, p.345 (1961). in section III Authors are getting formula (3.4) to define self-energy part of particle. How does that formula come out? That self-energy part it's a actuaaly mass operator?

Thks a lot
 
Neitrino said:
Thank you for referrences much appreciate ur help.
Unfortunateli I am not quite familiar with math of QFT
could anybody help me...in following..

In Paper Y. Nambu and G Jona-Lasinio, Phys. Rev. v.122, p.345 (1961). in section III Authors are getting formula (3.4) to define self-energy part of particle. How does that formula come out? That self-energy part it's a actuaaly mass operator?

Thks a lot

I can't comment about this particular part since I didn't study the paper that closely. However, the self-energy term usually comes out of the single-particle Green's function, often called the propagator in QFT. It's form depends totally on the kind of interactions you are considering, i.e. how many higher order coupling.

The only references I would recommend on this is Mattuck's "Feynman Diagram in Many-Body Problem" and Mahan's "Many-Particle Physics".

Zz.
 

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