Extension of Haag’s theorem in the case of the lorentz invariant noncommunitative quantum field theory in a space with arbitrary dimensionстатья
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Дата последнего поиска статьи во внешних источниках: 18 июля 2013 г.
Аннотация:The generalized Haag theorem was proven in SO(1, k) invariant quantum field theory. Apart from
the k + 1 variables, an arbitrary number of additional coordinates, including noncommutative ones, can
occur in the theory. In SO(1, k) invariant theory new corollaries of the generalized Haag theorem are
obtained. It has been proven that the equality of four-point Wightman functions in the two theories leads to
the equality of elastic scattering amplitudes and thus to the equality of the total cross sections in these theo
ries. It was also shown that at k > 3 the equality of (k + 1) point Wightman functions in the two theories leads
to the equality of the scattering amplitudes of some inelastic processes. In the SO(1, 1) invariant theory it was
proven that if in one of the theories under consideration the S-matrix is equal to unity, then in another theory
the S-matrix equals unity as well.