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Symanzik effective actions in the large N limit

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Abstract

Symanzik effective actions, conjectured to describe lattice artifacts, are determined for a class of lattice regularizations of the non-linear O(N) sigma model in two dimensions in the leading order of the 1/N -expansion. The class of actions considered includes also ones which do not have the usual classical limit and are not (so far) treatable in the framework of ordinary perturbation theory. The effective actions obtained are shown to reproduce previously computed lattice artifacts of the step scaling functions defined in finite volume, giving further confidence in Symanzik’s theory of lattice artifacts.

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Authors and Affiliations

  1. Institute for Particle and Nuclear Physics, Wigner Research Centre for Physics, MTA Lendület Holographic QFT Group, 1525, Budapest 114, P.O.B. 49, Hungary

    J. Balog

  2. Albert Einstein Center for Fundamental Physics, Institute for Theoretical Physics, Bern University, Sidlerstr. 5, 3012, Bern, Switzerland

    F. Niedermayer

  3. Max-Planck-Institut für Physik, 80805, Munich, Germany

    P. Weisz

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  1. J. Balog
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  2. F. Niedermayer
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  3. P. Weisz
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Correspondence to J. Balog.

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ArXiv ePrint: 1304.6269

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Balog, J., Niedermayer, F. & Weisz, P. Symanzik effective actions in the large N limit. J. High Energ. Phys. 2013, 27 (2013). https://doi.org/10.1007/JHEP08(2013)027

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  • DOI: https://doi.org/10.1007/JHEP08(2013)027

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