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Extension of Haag's Theorem in the Case of the Lorentz Invariant Noncommunitative Quantum Field Theory in a Space with Arbitrary Dimensionстатья
Информация о цитировании статьи получена из
Web of Science,
Scopus
Статья опубликована в журнале из списка Web of Science и/или Scopus
Дата последнего поиска статьи во внешних источниках: 18 июля 2013 г.
- Авторы: Antipin K.V., Vernov Yu S., Mnatsakanova M.N.
- Журнал: Moscow University Physics Bulletin
- Том: 66
- Номер: 4
- Год издания: 2011
- Издательство: Allerton Press
- Местоположение издательства: New York, N.Y., United States
- Первая страница: 349
- Последняя страница: 353
- DOI: 10.3103/S0027134911040035
- 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 theories. 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.
- Добавил в систему: Мнацаканова Мелита Николаевна