Lecture 4 The Beta Function and Renormalization Group Flow
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rg beta function In theoretical physics, specifically quantum field theory, a beta function or Gell-Mann–Low function, β (g), encodes the dependence of a coupling parameter, g, on the energy scale, μ, of a given physical process described by quantum field theory..
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We describe a procedure for extracting β -functions using the general results and introduce RGBeta, a dedicated Mathematica package for extracting the MS¯ ¯¯¯¯ β -functions in broad classes of models. The package and example notebooks are available from the GitHub repository.
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Renormalization Group Equations (RGEs) are indispensable tool to know the behavior of physical parameters at different energy scales. They are also extremely crucial if we want to extend our known Standard Model gauge group by some extra gauge groups and the $β$-functions are the soul of these RGEs. In literature although it is quite common to find long, final expressions of the RGEs ...