LSZ reduction formula in noncommutative quantum field theory and its consequences

An analogue of the Lehmann–Symanzik–Zimmermann (LSZ) reduction formula is obtained for the case of noncommutative space–space theory. Some consequences of the reduction formula and Haag’s theorem are discussed.

HAAG'S THEOREM IN THE THEORIES WITH NONPHYSICAL PARTICLES

Haag's theorem is extended to the case of regular representations of the canonical commutation relations in a nondegenerate indefinite inner product space.