What parameters of SM can be changed gradually?

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In summary, the conversation discusses the possibility of various parameters in the Standard Model of physics being variable, including mass and CKM angles. However, it is mentioned that the SM itself does not explain why these parameters have the values observed. The concept of dynamical effective mass is also brought up, which is a part of the Higgs mechanism in the SM. Furthermore, the conversation touches on the idea of quasi-particles and collective modes in many-body systems. Overall, the conversation highlights the complexity and potential for variation within the parameters of the Standard Model.
  • #1
Dmitry67
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For example, mass spectrum can't vary because energy is conserved (locally).
What's about other parameters? Could CKM angles be different in earlier époque? It could save the Sakharov’s mechanism, if CP violation was more intense during bareogenesis.
 
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  • #2
The answer depends on what do you mean by "can".
Anything is possible, unless you specify some constraint (which you don't).
In principle, any constant in SM (including the masses) could be a variable, but then it would not be described by SM any more.
 
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  • #3
SM itself does not explain WHY parameters have the values we observe.
So it does not put any constrains on them.

Mass can't be variable - it would be absolutely different physics, because enrgy won't be conserved.
 
  • #4
Dmitry67 said:
SM itself does not explain WHY parameters have the values we observe.
That's true.

Dmitry67 said:
So it does not put any constrains on them.
It puts at least one constraint: They must be - constant!

Dmitry67 said:
Mass can't be variable - it would be absolutely different physics, because enrgy won't be conserved.
That's not true, it is easy to write a Lagrangian with a dynamical effective mass with a conserved Hamiltonian. In fact, the Lagrangian describing the Higgs mechanism, which is a part of the SM, is one such Lagrangian.
 
  • #5
Demystifier said:
That's not true, it is easy to write a Lagrangian with a dynamical effective mass with a conserved Hamiltonian. In fact, the Lagrangian describing the Higgs mechanism, which is a part of the SM, is one such Lagrangian.

In fact, in any relativistic QFT "mass" becomes a dynamical quantity through the non-vanishing self-energies of the particles.

In many-body theory this even happens for non-relativistic particles: In the most simple case one can describe the many-body system as a dilute quantum gas of quasi-particles, which may have the same quantum numbers as the elementary constituents (e.g., electrons in a condensed-matter system) but with different effective masses or charges. Other quasi-particle excitations (effective degrees of freedom) may not be medium modifications of elementary constituents but collective modes like phonons (lattice vibrations) in a solid body, plasmons/plasminos (plasma oscillations) in a plasma,...
 
  • #6
Interesting - I did not think about that.
Thanks
 

FAQ: What parameters of SM can be changed gradually?

What is meant by "parameters" in the context of SM?

Parameters refer to the variables or factors that can be adjusted or modified in a system or model. In the case of SM (statistical modeling), parameters are the values that are used to estimate the relationship between variables in a statistical model.

How can parameters of SM be changed gradually?

Parameters of SM can be changed gradually by using an optimization algorithm. This algorithm adjusts the values of the parameters in small increments, based on the performance of the model, until the desired result is achieved.

3. What are some common parameters that can be changed gradually in SM?

Some common parameters that can be changed gradually in SM include the intercept, coefficients, and error terms in linear regression models, as well as the mean and standard deviation in normal distribution models.

4. Why is it important to be able to change parameters gradually in SM?

Being able to change parameters gradually allows for a more precise and accurate estimation of the relationship between variables in a statistical model. It also allows for the identification of the most optimal values for the parameters, which can improve the performance and predictive power of the model.

5. Are there any limitations to changing parameters gradually in SM?

Yes, there are some limitations to changing parameters gradually in SM. One limitation is that it can be a time-consuming process, especially for complex models with many parameters. Additionally, there may be cases where certain parameters cannot be changed gradually, such as in non-linear models where the relationship between variables is not linear.

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