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Five-loop numerical evaluation of critical exponents of the Φ~4 theory

机译:φ〜4理论临界指数的五环数值评价

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We present a new approach to calculation of anomalous dimensions in the framework of e-expansion and renormalization group method. This approach allows one to skip the calculation of renormalization constants and express anomalous dimensions in terms of renormalized diagrams, which are presented in a form suitable for numerical calculations. This approach can be easily automated and extended to a wide range of models. The power of this approach is illustrated on 5 loop calculations of bet a-function and anomalous dimensions in ф~4 model.
机译:我们提出了一种新方法来计算E-膨胀和重整化组方法框架中的异常尺寸。该方法允许人们跳过重整化常数的计算,并就重整性的图表表达异常尺寸,其以适合于数值计算的形式呈现。这种方法可以很容易地自动化并扩展到各种型号。该方法的功率在于ф〜4模型中的BET A函数和异常尺寸的5个环形计算说明。

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