The spectrum of the anomalous dimensions of the composite operators in the $ε$ - expansion in the scalar $φ^4$ - field theory

Details The spectrum of the anomalous dimensions of the composite operators in the $ε$ - expansion in the scalar $φ^4$ - field theory The spectrum of the anomalous dimensions of the composite operators in the $ε$ - expansion in the scalar $φ^4$ - field theory

1995-05-18

arxiv.org/abs/hep-th/9505110v2

Physics

High Energy Physics

High Energy Physics - Theory

25 pages, latex, a few changes in latex commands

Scientific paper

10.1016/0550-3213(95)00513-R

The spectrum of the anomalous dimensions of the composite operators (with arbitrary number of fields $n$ and derivatives $l$) in the scalar $\phi^4$ - theory in the first order of the $\epsilon$ -expansion is investigated. The exact solution for the operators with number of fields $\leq 4$ is presented. The behaviour of the anomalous dimensions in the large $l$ limit has been analyzed. It is given the qualitative description of the %structure of the spectrum for the arbitrary $n$.

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