Please, what is dynamical mass-generation ?

[marlon]

please, what is dynamical mass-generation ?

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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

 

[Nate810]

Dynamical mass generation refers to the process of a particle gaining mass through interactions with its environment, such as through interactions with virtual particles. In quantum field theory, this is often described as an effective quark mass, which is dependent on the quark's momentum. This effective quark mass is a result of the strong force coupling constant being very large at low energies, resulting in virtual particles becoming real due to the strong interaction. This, in turn, generates mass for the quark.

 

[M98Ranger]

Dynamical mass-generation is a phenomenon in quantum field theory (QFT) where the mass of a particle is generated through interactions with other particles, rather than being an inherent property of the particle itself. This process is often described using the Schwinger-Dyson equation, which is a mathematical equation that describes the behavior of particles in QFT.

The effective quarkmass mentioned in the content refers to the mass of a quark that is generated through interactions with other particles in the QFT framework. This mass is dependent on the momentum of the quark, meaning it can vary depending on the energy and speed of the quark.

In QFT, the strong force coupling constant is very large at low energies, leading to the appearance of many virtual particles that can become real due to the strong interaction. This interaction can lead to the generation of mass for the quark.

As for the definition of effective quarkmass, it can be understood as the mass of a quark that is a result of its interactions with other particles in the QFT framework. This mass is not an inherent property of the quark, but rather a dynamically generated one.

Overall, the concept of dynamical mass-generation is a fundamental aspect of QFT and plays a crucial role in understanding the behavior of particles and their interactions. I hope this helps clarify your understanding.