How does dynamical mass generation works ?

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Dynamical mass generation in quantum field theory (QFT) involves the effective quark mass derived from the Schwinger-Dyson equation, which varies with quark momentum. This phenomenon illustrates the interaction between quarks and surrounding virtual particles, particularly under conditions of low-energy where the strong force coupling constant is significantly large due to asymptotic freedom. As a result, many virtual particles become real, leading to the generation of quark mass. The discussion confirms that the effective quark mass is a crucial concept in understanding particle interactions in QFT.

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  • Schwinger-Dyson equations
  • Asymptotic freedom in quantum chromodynamics (QCD)
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How does dynamical mass generation works ?

In QFT-textbooks, the process of dynamical mass-generation is often used.
For example one gets an effective quarkmass as a solution of the Schwinger
Dysonequation. This mass is dependent on the quarks momentum.The effective quarkmass as a function of the momentum gives an image of the
interaction between a quark and its surrounding virtual particles. For
low-energy quarks, the strong force coupling constant is very large because
of asymptotic freedom. So in this condition, many virtual particles become
real because of the strong interaction and thus quarkmass is generated.Is this conclusion right or am I making e few mistakes here?Can anyone give me a clear definition of the effective quarkmass, what does
is really mean?

How is mass generated dynamically
 
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