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- W1494320510 abstract "For an anisotropic euclidean $phi^4$-theory with two interactions $[u (sum_{i=1^M {phi}_i^2)^2+v sum_{i=1}^M phi_i^4]$ the $beta$-functions are calculated from five-loop perturbation expansions in $d=4-varepsilon$ dimensions, using the knowledge of the large-order behavior and Borel transformations. For $varepsilon=1$, an infrared stable cubic fixed point for $M geq 3$ is found, implying that the critical exponents in the magnetic phase transition of real crystals are of the cubic universality class. There were previous indications of the stability based either on lower-loop expansions or on less reliable Pad'{e approximations, but only the evidence presented in this work seems to be sufficently convincing to draw this conclusion." @default.
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- W1494320510 date "1997-12-01" @default.
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- W1494320510 title "Stability of a three-dimensional cubic fixed point in the two-coupling-constantφ4theory" @default.
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- W1494320510 doi "https://doi.org/10.1103/physrevb.56.14428" @default.
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