학술논문
On relativistic irreducible quantum fields fulfilling CCR.
Document Type
Article
Author
Source
Subject
*COMMUTATION relations (Quantum mechanics)
*QUANTUM field theory
*
Language
ISSN
0022-2488
Abstract
Let [lowercase_phi_synonym] be a relativistic scalar field fulfilling canonical commutation relations (CCR). Furthermore it is assumed that the time zero fields and momenta form an irreducible set. Based on estimates given by Herbst [I. W. Herbst, J. Math. Phys. 17, 1210 (1976)], and by methods developed by Powers [R. T. Powers, Commun. Math. Phys. 4, 145 (1967)], it is shown that [lowercase_phi_synonym] has to be a free field in n>3 space dimensions. For n=3 (resp. n=2) restrictions that look similar to the restriction in a formal :[lowercase_phi_synonym]4:3+1 (resp. :[lowercase_phi_synonym]6:2+1) theory are obtained. [ABSTRACT FROM AUTHOR]