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Logarithmic Operators and Hidden Continuous Symmetry in Critical Disordered Models

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arxiv hep-th/9511134 v1 pith:GH3CGNMF submitted 1995-11-19 hep-th cond-mat

J.-S. Caux , Ian I. Kogan , A. M. Tsvelik This is my paper · ORCID
classification hep-thcond-mat
keywords operatorcontinuouscriticalexpansionlogarithmicmodelsymmetrycalculate
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We study the model of (2 + 1)-dimensional relativistic fermions in a random non-Abelian gauge potential at criticality. The exact solution shows that the operator expansion contains a conserved current - a generator of a continuous symmetry. The presence of this operator changes the operator product expansion and gives rise to logarithmic contributions to the correlation functions at the critical point. We calculate the distribution function of the local density of states in this model and find that it follows the famous log-normal law.

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  1. Analytic Bootstrap for Logarithmic CFT

    hep-th 2019-08 conditional novelty 6.0 of 10

    The leading large-spin anomalous dimension of double-trace operators in four-dimensional logarithmic CFTs behaves as γ0/ℓ^{τ_m}, where τ_m is the minimal twist, provided no operator has negative scaling dimension.

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