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Non-Linear Sigma Model and asymptotic freedom at the Lifshitz point

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arxiv 1007.0355 v1 pith:WIBESHU3 submitted 2010-07-02 hep-th

K. Anagnostopoulos , K. Farakos , P.Pasipoularides , A. Tsapalis This is my paper · ORCID
classification hep-th
keywords modelsigmadimensionsfreelifshitznon-linearpointadjoint
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We construct the general O(N)-symmetric non-linear sigma model in 2+1 spacetime dimensions at the Lifshitz point with dynamical critical exponent z=2. For a particular choice of the free parameters, the model is asymptotically free with the beta function coinciding to the one for the conventional sigma model in 1+1 dimensions. In this case, the model admits also a simple description in terms of adjoint currents.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. OpenAlex reports about 15 citations worldwide. Full citation record

  1. Three-loop singularity structure for a non-linear sigma model

    hep-th 2025-07 conditional novelty 6.0 of 10

    The three-loop divergent structure of the two-dimensional non-linear sigma model is computed in a coordinate-space cutoff scheme, including the new countervertices and the squared-logarithm part of the renormalization...

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