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Symanzik effective actions in the large N limit

  • J. Balog
  • F. Niedermayer
  • P. Weisz
Article

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.

Keywords

Field Theories in Lower Dimensions Lattice Quantum Field Theory Sigma Models Nonperturbative Effects 

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Copyright information

© SISSA, Trieste, Italy 2013

Authors and Affiliations

  1. 1.Institute for Particle and Nuclear Physics, Wigner Research Centre for Physics, MTA Lendület Holographic QFT GroupBudapest 114Hungary
  2. 2.Albert Einstein Center for Fundamental Physics, Institute for Theoretical PhysicsBern UniversityBernSwitzerland
  3. 3.Max-Planck-Institut für PhysikMunichGermany

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