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Critical dimensions of composite operators in the nonlinear σ-model

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Abstract

A general scheme for calculating critical exponents of an arbitrary system of composite operators mixed by a renormalization procedure is presented using 1/N expansion. Restrictions imposed on the mixing matrix by the conformal invariance are investigated. The anomalous dimensions of all powerlike products of an auxiliary field are calculated up to the second order in 1/N.

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Authors and Affiliations

  1. St. Petersburg Technological Institute, St. Petersburg, Russia

    S. É. Derkachov (Chair of Higher Mathematics)

  2. Department of Theoretical Physics, St. Petersburg State University, St. Petersburg, Russia

    A. N. Manashov

Authors
  1. S. É. Derkachov
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  2. A. N. Manashov
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Additional information

Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 116, No. 3, pp. 379–400. September, 1998.

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Derkachov, S.É., Manashov, A.N. Critical dimensions of composite operators in the nonlinear σ-model. Theor Math Phys 116, 1034–1049 (1998). https://doi.org/10.1007/BF02557145

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  • DOI: https://doi.org/10.1007/BF02557145

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