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Spinnor
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Say we have two complex fields, f_1 and f_2 which each are solutions of the D'Alembert operator or the wave operator in three space dimensions. Say we subtract the square of the magnitude of the difference of f_1 and f_2 from the Lagrangian for the fields f_1 and f_2. In that case the Lagrangian is unchanged if both f_1 and f_2 each under go a global phase change of exp(i*theta)? If so does that imply a conserved current?
Assume solutions of the form f_1 = f_2 and f_1 = - f_2 , such waves are mass-less and massive respectively?
Can we demand local phase invariance and get some type of interaction?
Thanks for any help!
Assume solutions of the form f_1 = f_2 and f_1 = - f_2 , such waves are mass-less and massive respectively?
Can we demand local phase invariance and get some type of interaction?
Thanks for any help!