Representation of the β-function and anomalous dimensions by nonsingular integrals in models of critical dynamics
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We propose a method for calculating the β-function and anomalous dimensions in critical dynamics models that is convenient for numerical calculations in the framework of the renormalization group and ε-expansion. Those quantities are expressed in terms of the renormalized Green’s function, which is renormalized using the operation R represented in a form that allows reducing ultraviolet divergences of Feynman diagrams explicitly. The integrals needed for the calculation do not contain poles in ε and are convenient for numerical integration.
Keywordsrenormalization group ε-expansion multiloop diagram critical exponent
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