Quantum Fields à la Sylvester and Witt
نویسنده
چکیده
A structural explanation of the coupling constants in the standard model, i.e the fine structure constant and theWeinberg angle, and of the gauge fixing contributions is given in terms of symmetries and representation theory. The coupling constants are normalizations of Lorentz invariantly embedded little groups (spin and polarization) arising in a harmonic analysis of quantum vector fields. It is shown that the harmonic analysis of massless fields requires an extension of the familiar Fourier decomposition, containing also indefinite unitary nondecomposable time representations. This is illustrated by the nonprobabilistic contributions in the electromagnetic field. 1 e-mail adresses: H.S.: hns@dmumpiwh and [email protected] R.B.: [email protected] M.H.: [email protected]
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