THE SPECTRUM OF THE ANOMALOUS DIMENSIONS OF COMPOSITE-OPERATORS IN THE EPSILON-EXPANSION IN THE N-VECTOR MODELS

Authors
DERKACHOV SE MANASHOV AN
Citation
Se. Derkachov et An. Manashov, THE SPECTRUM OF THE ANOMALOUS DIMENSIONS OF COMPOSITE-OPERATORS IN THE EPSILON-EXPANSION IN THE N-VECTOR MODELS, Nuclear physics. B, 455(3), 1995, pp. 685-700
Citations number
12
Categorie Soggetti
Physics, Nuclear
Journal title
Nuclear physics. B → ACNP
ISSN journal
05503213
Volume
455
Issue
3
Year of publication
1995
Pages
685 - 700
Database
ISI
SICI code
0550-3213(1995)455:3<685:TSOTAD>2.0.ZU;2-J
Abstract
The spectrum of the anomalous dimensions of the composite operators (w ith an arbitrary number of fields n and derivatives l) in the N-vector model in first order of the E-expansion is investigated. The exact so lution for the operators with the number of fields less than or equal to 4 is presented. The behaviour of the anomalous dimensions in the la rge-l limit has been analyzed. The qualitative description of the spec trum structure for the operators with an arbitrary number of fields is given.