A METHOD OF CALCULATING THE CRITICAL DIMENSIONS OF COMPOSITE-OPERATORS IN THE MASSLESS NONLINEAR SIGMA-MODEL

Authors
VASILEV AN STEPANENKO AS
Citation
An. Vasilev et As. Stepanenko, A METHOD OF CALCULATING THE CRITICAL DIMENSIONS OF COMPOSITE-OPERATORS IN THE MASSLESS NONLINEAR SIGMA-MODEL, Theoretical and mathematical physics, 94(4), 1993, pp. 471-481
Citations number
12
Categorie Soggetti
Mathematical Method, Physical Science",Physics,"Physycs, Mathematical
Journal title
Theoretical and mathematical physics → ACNP
ISSN journal
00405779
Volume
94
Issue
4
Year of publication
1993
Pages
471 - 481
Database
ISI
SICI code
0040-5779(1993)94:4<471:AMOCTC>2.0.ZU;2-Y
Abstract
For an arbitrary system of composite operators that mix on renormaliza tion, a general scheme is formulated for calculating the critical dime nsions directly in the massless sigma model with dimensional and minim al-subtraction type regularization. The critical dimensions of arbitra ry powers of the auxiliary field and analogous operators with two addi tional derivatives are calculated as examples.