Renormalization of composite operators

J. Polonyi and K. Sailer
Phys. Rev. D 63, 105006 – Published 19 April 2001
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Abstract

The blocked composite operators are defined in the one-component Euclidean scalar field theory, and shown to generate a linear transformation of the operators, the operator mixing. This transformation allows us to introduce the parallel transport of the operators along the renormalization group trajectory. The connection on this one-dimensional manifold governs the scale evolution of the operator mixing. It is shown that the solution of the eigenvalue problem of the connection gives the various scaling regimes and the relevant operators there. The relation to perturbative renormalization is also discussed in the framework of the φ3 theory in dimensions d=6.

  • Received 10 November 2000

DOI:https://doi.org/10.1103/PhysRevD.63.105006

©2001 American Physical Society

Authors & Affiliations

J. Polonyi

  • Institute for Theoretical Physics, Louis Pasteur University, Strasbourg, France
  • Department of Atomic Physics, Lorand Eötvös University, Budapest, Hungary

K. Sailer

  • Department for Theoretical Physics, University of Debrecen, Debrecen, Hungary

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Issue

Vol. 63, Iss. 10 — 15 May 2001

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