The Renormalization Group

Part of the Graduate Texts in Physics book series (GTP)


The relation between the subtracted Green’s functions with different choices of subtraction point in the \(\phi ^4_4\) model. The running coupling constant. Functional equations of the renormalization group. Differential renormalization group equations of the Gell-Mann–Low and the Callan–Symanzik type. The \(\beta \) function. Reliability of the perturbative approximations. The phenomenon of dimensional transmutation in renormalized quantum field theory.

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© Springer International Publishing AG 2017

Authors and Affiliations

  1. 1.Institute of PhysicsJagiellonian UniversityKrakówPoland

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