
TY  - JOUR
A1  - Nicholson, AF 
T1  - Elimination of Primitive Divergents from Field Theory by Means of Complex Coupling Constants
JF  - Australian Journal of Physics
JO  - Aust. J.  Phys.
Y1  - 1973
VL  - 26
IS  - 6
SP  - 703
EP  - 724
KW  - 
UR  - https://doi.org/10.1071/PH730703 
N2  - LSZ. iteration theory is extended to accommodate quantum fields coupled by complex constants, while retaining a positive metric and a Hermitian Hamiltonian. Interpolating and particle (~in, out) fields are linked by an operator U(t) which is nonunitary, so that Haag's theorem may be avoided. It is shown that U(t) may be rendered sufficiently well-behaved as t -+ ± 00 to allow development of the iteration series for the T function. For certain combinations of fields the coupling constants and masses can then be chosen so as to eliminate the primitive divergents from the iteration series for any S-matrix element. The theory is illustrated by two models: four spinor plus two scalar fields, and the electromagnetic plus several spinor fields. In the second model not every spinor field corresponds to a stable physical particle, and the LSZ formalism is extended to allow for this. 
ER  -

