Critical dimensions of composite operators in the nonlinear \(\sigma\)-model

DOI10.1007/BF02557145zbMath0952.81018OpenAlexW2054580983MaRDI QIDQ1567952

Alexander N. Manashov, Sergey E. Derkachov

Publication date: 15 January 2001

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02557145

zbMATH Keywords

\(2+\varepsilon\) expansionHeisenberg-model phase transitioninfrared essential operators

Mathematics Subject Classification ID

Model quantum field theories (81T10) Perturbative methods of renormalization applied to problems in quantum field theory (81T15)

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Cites Work

• Unnamed Item
• Anomalous dimensions of high gradient operators in the orthogonal matrix model
• High-gradient operators in the \(N\)-vector model
• Implications of conformal invariance in field theories for general dimensions
• A method of calculating the critical dimensions of composite operators in the massless nonlinear \(\sigma\) model
• The critical \(\text{O}(N)\) \(\sigma\)-model at dimensions \(2<d<4\): Fusion coefficients and anomalous dimensions
• Conformal symmetry and the spectrum of anomalous dimensions in the \(N\)-vector model in \(4-\epsilon\) dimensions.