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We study the cubic fixed point for $N=3$ and $4$ by using finite size scaling applied to data obtained from Monte Carlo simulations of the $N$-component $\phi^4$ model on the simple cubic lattice.
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M. Hasenbusch, A Monte Carlo study of leading order scaling corrections of ϕ 4 \phi^{4} theory on a three dimensional lattice
1999
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J. M. Carmona, A. Pelissetto, and E. Vicari, The N N -component Ginzburg-Landau Hamiltonian with cubic anisotropy: A Six loop study
2000
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K. B. Varnashev, Stability of a cubic fixed point in three-dimensions: Critical exponents for generic N N
2000
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R. Folk, Y. Holovatch and T. Yavors’kii, Pseudo-expansion of six-loop renormalization-group functions of an anisotropic cubic model
2000
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M. Hasenbusch, Eliminating leading corrections to scaling in the 3-dimensional O(N)-symmetric ϕ 4 \phi^{4} model: N = 3 N=3 and 4 4
2001
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Andreas Stergiou, Bootstrapping hypercubic and hypertetrahedral theories in three dimensions
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