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Constraints for anomalous dimensions of local light-cone operators in [ϕ 3]6 theory

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Zeitschrift für Physik C Particles and Fields

Abstract

Using the MS scheme, we derive in [ϕ 3]6 theory the collinear conformal Ward identity for the Green's functions of local light-cone operators of leading twist. The Ward identity for special collinear conformal transformations and renormalization group invariance give constraints for the off-diagonal part of the anomalous dimension matrix for the general case of β#0. We compute the anomaly of special conformal transformation in lowest loop order and obtain from the constraints the off-diagonal part of the anomalous dimension in 2-loop order.

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  1. Sektion Physik der Karl-Marx-Universität, Karl-Marx-Platz, O-7010, Leipzig, Federal Republic of Germany

    D. Müller

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  1. D. Müller
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Müller, D. Constraints for anomalous dimensions of local light-cone operators in [ϕ 3]6 theory. Z. Phys. C - Particles and Fields 49, 293–300 (1991). https://doi.org/10.1007/BF01555504

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  • DOI: https://doi.org/10.1007/BF01555504

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