The structure of the spectrum of anomalous dimensions in the N-vector model in 4-epsilon dimensions

Details The structure of the spectrum of anomalous dimensions in the N-vector model in 4-epsilon dimensions The structure of the spectrum of anomalous dimensions in the N-vector model in 4-epsilon dimensions

1994-05-19

arxiv.org/abs/hep-th/9405123v1

Nucl.Phys. B424 (1994) 521-546

Physics

High Energy Physics

High Energy Physics - Theory

32 pages, LATEX, HD-TVP-94-8

Scientific paper

10.1016/0550-3213(94)90406-5

In a recent publication we have investigated the spectrum of anomalous dimensions for arbitrary composite operators in the critical N-vector model in 4-epsilon dimensions. We could establish properties like upper and lower bounds for the anomalous dimensions in one-loop order. In this paper we extend these results and explicitly derive parts of the one-loop spectrum of anomalous dimensions. This analysis becomes possible by an explicit representation of the conformal symmetry group on the operator algebra. Still the structure of the spectrum of anomalous dimensions is quite complicated and does generally not resemble the algebraic structures familiar from two dimensional conformal field theories.

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