Re: Lorentz violation of the Standard Model

Dear Cl.Masse,

I am afraid to take a different view from you.

In order to verify the Lorentz covariance of theory, it is insufficient
to show that its Lagrangian of fields is scalar and we should show that
the fields obey the fundamental equations, as well as their Lorentz
covariance. If your massive fermion does not have a property of massive
fermion, how can we say we have shown the Lorentz covariance of massive
field?

Also, In my opinion, the evaluation of a theory should involve the
consistency between its basic assumptions and experimental observations.
The term "fundamentality" is not only philosophical term of metaphysics,
but that of philosophical science that connects theories and
experimental observations. For example, "the fundamentality of Dirac
equations" means that "Fermions we observe in experiments obey the Dirac
equations". I do not see how we can prove the SM and its Lorentz
symmetry, if fermions do not obey the Dirac equations.

Thanks,
J.C. Yoon

>
> That's not the point. What you say is the SM isn't Lorentz covariant. To
> address this issue, we have to take only the definition of Lorentz
> invariance, and the SM model, which is a system of coupled equations, some
> of them being Dirac equations. The fundamentality here is only a
> philosophical term, and is irrelevant since the SM and the Lorentz
> covariance are mathematically precisely defined.
>
> --
> ~~~~ clmasse on free F-country
> Liberty, Equality, Profitability.
>
>

.

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