Question: What is More Preferable for Gauge Condition?

[Neitrino]

If I have a theory... some Lagrangian and I need to impose a gauge condition... what is more preferable

1) The subject gauge naturally arises from the structure/type of the lagnagian
(Like a Lorentz gauge that can automaticaly arise in Electrodynamics)

2) Or I have just to impose it "rigidly" even if I can't get it from the theory.
(suppose I added some terms to vector field lagrangian and can not get Lorentz gauge by taking divergence of equation of motion as used to do in conventional case, but I need some gauge to reduce degrees of freedom... I if impose my Lorentz gauge "rigidly" will it be acceptable)

If I am not cler with my question please tell me and I will try to be more clear

 

[LightHero]

.It is generally preferable to impose a gauge condition that naturally arises from the structure/type of the Lagrangian. This is because a gauge condition that arises naturally from the structure of the Lagrangian will be consistent with the underlying physical principles of the theory, and thus will yield more meaningful results. If it is not possible to obtain a suitable gauge condition from the structure of the Lagrangian, then it may be necessary to impose one "rigidly" in order to reduce the number of degrees of freedom. However, this should be done with caution, as it may lead to results that are inconsistent with the underlying physical principles of the theory.

 

[sir-pinski]

It ultimately depends on the specific situation and the goals of your theory. In some cases, it may be more preferable to have a gauge condition that naturally arises from the structure of the Lagrangian, as this can provide a deeper understanding of the underlying physics. However, in other cases where a gauge condition cannot be derived from the Lagrangian, it may be necessary to impose it rigidly in order to achieve your desired results. It is important to carefully consider the implications of both options and choose the approach that best fits your needs and objectives. If you are unsure, it may be helpful to consult with colleagues or experts in the field for their insights and advice.