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Hi! I can't understand something in field theory and need your assistance:

I wish to understand why a particle of mass m^2<0 can't exist.

For a massive particle, in its reference frame, one would write:

[itex]p_\mu=(m,0,0,0)[/itex]. I understand that.

But for m=0, why is:

[itex]p_\mu=(p,0,0,p)[/itex]

And for [itex]m^2<0[/itex]

Why is:

[itex]p_\mu=(0,0,0,m)[/itex]

?

Thank you...!

I wish to understand why a particle of mass m^2<0 can't exist.

For a massive particle, in its reference frame, one would write:

[itex]p_\mu=(m,0,0,0)[/itex]. I understand that.

But for m=0, why is:

[itex]p_\mu=(p,0,0,p)[/itex]

And for [itex]m^2<0[/itex]

Why is:

[itex]p_\mu=(0,0,0,m)[/itex]

?

Thank you...!

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