How Is Mass Generated Dynamically in Quantum Field Theory?

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SUMMARY

Dynamical mass generation in Quantum Field Theory (QFT) is a process where the effective quark mass arises as a solution to the Schwinger-Dyson equation, influenced by the quark's momentum. This effective mass reflects the interaction between quarks and surrounding virtual particles, particularly in low-energy scenarios where the strong force coupling constant is significantly large due to asymptotic freedom. Under these conditions, many virtual particles become real, leading to the generation of quark mass. This understanding is crucial for comprehending the dynamics of particle interactions in QFT.

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  • Quantum Field Theory (QFT) fundamentals
  • Schwinger-Dyson equations
  • Asymptotic freedom in quantum chromodynamics (QCD)
  • Effective mass concepts in particle physics
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marlon
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can someone help me with dynamical mass generation?

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





Thanks a lot



Nikolaas Van der Heyden



Nikolaas.vanderheyden@ugent.be
 
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