The critical O(N) sigma-model at dimension 2<d<4: Hardy-Ramanujan distribution of quasi-primary fields and a collective fusion approach

The distribution of quasiprimary fields of fixed classes characterized by their O(N) representations Y and the number p of vector fields from which they are composed at N=infty in dependence on their normal dimension delta is shown to obey a Hardy-Ramanujan law at leading order in a 1/N-expansion. We develop a method of collective fusion of the fundamental fields which yields arbitrary qps and resolves any degeneracy.

Metadaten
Author:	Klaus Lang, Werner Rühl
URN:	urn:nbn:de:hbz:386-kluedo-10341
Document Type:	Preprint
Language of publication:	English
Year of Completion:	1994
Year of first Publication:	1994
Publishing Institution:	Technische Universität Kaiserslautern
Date of the Publication (Server):	2000/04/06
Faculties / Organisational entities:	Kaiserslautern - Fachbereich Physik
DDC-Cassification:	5 Naturwissenschaften und Mathematik / 530 Physik
Licence (German):	Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011