Haye Hinrichsen J. Stat. Mech. (2008) P07026 doi:10.1088/1742-5468/2008/07/P07026
Haye Hinrichsen
Show affiliationsLocal scale invariance (LSI) is a theory for anisotropic critical phenomena designed in the spirit of conformal invariance. For a given representation of its generators this leads to non-trivial predictions about the form of universal scaling functions. In the past decade several representations have been identified, and the corresponding predictions were confirmed for various anisotropic critical systems. Such tests are usually based on a comparison of two-point quantities such as autocorrelation and response functions. The present work highlights a potential problem of the theory in that it may predict any type of two-point function. More specifically, it is argued that for a given two-point correlator it is possible to construct a representation of the generators which exactly reproduces this particular correlator. This observation calls for a critical examination of the predictive content of the theory.
E-print Number: 0807.0753
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05.50.+q Lattice theory and statistics (Ising, Potts, etc.)
82C20 Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs
Issue 07 (July 2008)
Received 15 February 2008, accepted for publication 4 July 2008
Published 29 July 2008
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