On stability of the three-dimensional fixed point in a model with three coupling constants from the ε expansion: Three-loop results
Abstract
The structure of the renormalization-group flows in a model with three quartic coupling constants is studied within the ε-expansion method up to three-loop order. Twofold degeneracy of the eigenvalue exponents for the three-dimensionally stable fixed point is observed and the possibility for powers in ε to appear in the series is investigated. Reliability and effectiveness of the ε-expansion method for the given model is discussed.
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