S. E. Derkachov, A. N. Manashov, “On the spectrum of anomalous dimensions of composite operators in the scalar field theory”, Zap. Nauchn. Sem. POMI, 2010, Volume 374,Pages <nobr>136

This article is cited in 7 papers

On the spectrum of anomalous dimensions of composite operators in the scalar field theory

S. E. Derkachov^a, A. N. Manashov^b

^a St. Petersburg Department of V. A. Steklov Institute of Mathematics, St. Petersburg, Russia
^b St. Petersburg State University, St. Petersburg, Russia

Abstract: In the one-loop approximation the problem of the diagonalization of the mixing matrix is equivalent some quantum mechanical eigenvalue problem. For the illustration of this technik we consider two simplest examples of the scalar field theories. Bibl. – 27 titles.

Key words and phrases: renormalization of composite operators, mixing matrix, anomalous dimensions, conformal invariance.

UDC: 517.9

Received: 10.02.2010