Generalized Haag's Theorem in SO(1,1) and SO(1,3) Invariant Quantum Field Theory
High Energy Physics - Theory
2007-05-23 v2
Abstract
One of the most important results of the axiomatic quantum field theory - generalized Haag's theorem - is proven in SO(1,1) invariant quantum field theory, of which an important example is noncommutative quantum field theory. In SO(1,3) invariant theory new consequences of generalized Haag's theorem are obtained: it has been proved that equality of four-point Wightman functions in two theories leads to the equality of elastic scattering amplitudes and total cross-sections in these theories.
Keywords
Cite
@article{arxiv.hep-th/0611097,
title = {Generalized Haag's Theorem in SO(1,1) and SO(1,3) Invariant Quantum Field Theory},
author = {M. Chaichian and M. Mnatsakanova and A. Tureanu and Yu. Vernov},
journal= {arXiv preprint arXiv:hep-th/0611097},
year = {2007}
}
Comments
11 pages, Talk given at the 14th International Seminar on High Energy Physics QUARKS'2006, Repino, St.Petersburg, Russia, May 19-25, 2006