Scaling behavior of the four-point renormalized coupling constant in the two dimensional O(2) and O(3) non-linear sigma models

Details Scaling behavior of the four-point renormalized coupling constant in the two dimensional O(2) and O(3) non-linear sigma models Scaling behavior of the four-point renormalized coupling constant in the two dimensional O(2) and O(3) non-linear sigma models

1995-02-06

arxiv.org/abs/hep-lat/9502005v1

Phys.Lett. B345 (1995) 469-472

Physics

High Energy Physics

High Energy Physics - Lattice

10pages; RevTex; 1 figure available upon request from kimj@physics.ucla.edu; to appear in Phys. Lett. B

Scientific paper

10.1016/0370-2693(94)01640-X

We report thermodynamic values of four-point renormalized coupling constant
calculated by Monte Carlo simulations in the continuum limits of the
lattice versions of the two-dimensional O(2) and O(3) non-linear sigma
models. In each case the critical index of the coupling constant vanishes,
which leads to hyperscaling (non-triviality).

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