Can the coupling constant change?

In summary, a Lagrangian with a coupling constant "g" may not be renormalizable due to the dimension of "g". One possibility to make the theory renormalizable is to use a canonical transformation to change the coupling constant to another "g'". Another approach is to add a four-divergence term depending on the fields and momenta, which can be eliminated by setting it equal to 0 as a constraint. However, from a modern effective field theory perspective, it is acceptable to calculate to any order in the coupling by using different counterterms for each subtraction.
  • #1
eljose79
1,518
1
In fact let,s supose we have a lagrangian of the type

L=L0+gLInt where "g" is the coupling constant,..but unfortunately could happen that due to the dimension of g the theory would not be renormalizable...

my question if that if there would be a chance of doing a canonical transformation so we can change the coupling constant to another g' so that the theory would become renormalizable..is possible?..if it is how would it do?.

Another chance i think is to add a four-divergence term depending on the fields and momenta so we have

L´=L0+gLint+F due to that F is a four divergence the lagrangian L´will be equivalent to the L now the trick would be to set

gLint+F=0 as a condition or constraint.
 
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  • #2
No, but from the modern effective field theoretic perspective, because higher order terms are suppressed relative to lower order ones, it's perfectly alright to calculate to whatever order in the coupling you want by employing different counterterms in each subtraction.
 
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1. Can the coupling constant change in different physical systems?

Yes, the coupling constant can change in different physical systems. The value of the coupling constant depends on the specific interactions between particles in a given system.

2. How does the coupling constant affect the strength of interactions?

The coupling constant determines the strength of interactions between particles. A larger coupling constant indicates a stronger interaction, while a smaller coupling constant indicates a weaker interaction.

3. Can the coupling constant change over time?

Yes, the coupling constant can change over time. In some physical systems, the value of the coupling constant may vary as the system evolves or undergoes changes.

4. What factors can cause the coupling constant to change?

The coupling constant can change due to various factors, such as changes in temperature, pressure, or the presence of external fields. It can also change depending on the energy scale or distance scale of the interaction.

5. Is the coupling constant a universal value?

No, the coupling constant is not a universal value. It can vary depending on the specific physical system and the conditions in which the interactions take place.

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