Re: different left/right masses?

On Mon, 4 Apr 2005 18:58:32 +0000 (UTC), Alejandro <arivero@xxxxxxxxxxxxxxx> wrote:
> It seems that using more than one generation, it is possible to
> give different masses to the left and right spinors without violating
> lorentz invariance. This should be because the masses A, B connecting
> both spinors do not need to commute anymore, then the left family
> could
> have a diagonal M^2=AB, and the right family could have another
> M^2=BA.

Doesn't a mass term introduce mixing between left and right handed
Weyl-spinors? I would expect, that there is no distinction between
left- and right-handed chirality for massive spinors, thus they cannot
have different masses.

Chirality is defined as the relative sign on spin w.r.t. momentum. As
massive particles travel slower than the speed of light, you can go to
a reference frame that moves faster than the particle in which the
momentum points in the other direction while the spin is the same. So
in that coordinate system, the handedness of the particle changed.

Robert


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Robert C. Helling School of Science and Engineering
International University Bremen
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