LEHMANN‐SYMANZIK‐ZIMMERMANN structure of the {n; 3} sector of the LEE model and some general features of the {n;k} sector

Abstract

I n this paper the L E H~~A N N -S Y M A N Z I~-Z~M E R~N~ (L. S. Z.) structure of the {n; 3)sector of the LEE model is investigated and some general features of the {n; k} sector are presented. It is shown that the {a; k} sector with k 2 n is entirely determined by the solutions of k singular integral equations. I n the case of the sector {k -I; k) with 1 integer, 1 5 1 5 k -1, k -1 singular integral equations must be solved in order to determine all physical quantities. The {n; 3) sectorthere are sixteen z-functions, namely, Annalen der Physik * 7. Folge Band 29, Heft 4 * 1973