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Self-consistent nonperturbative anomalous dimensions - MaRDI portal

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Self-consistent nonperturbative anomalous dimensions

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Publication:4465326

DOI10.1088/0305-4470/36/46/012zbMATH Open1046.81080arXivhep-th/0309047OpenAlexW2047402583MaRDI QIDQ4465326

Author name not available (Why is that?)

Publication date: 27 May 2004

Published in: (Search for Journal in Brave)

Abstract: A self-consistent treatment of two and three point functions in models with trilinear interactions forces them to have opposite anomalous dimensions. We indicate how the anomalous dimension can be extracted nonperturbatively by solving and suitably truncating the topologies of the full set of Dyson-Schwinger equations. The first step requires a sensible ansatz for the full vertex part which conforms to first order perturbation theory at least. We model this vertex to obtain typical transcendental equations between anomalous dimension and coupling constant g which coincide with know results to order g4.


Full work available at URL: https://arxiv.org/abs/hep-th/0309047




Mathematics Subject Classification ID

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