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The Renormalization Group

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

Abstract

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.

Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  1. 1.Institute of PhysicsJagiellonian UniversityKrakówPoland

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