Abstract
The simple term “renormalization group” has a variety of meanings. This is because various kinds of transformation go by this name. Moreover, it is used in slightly different ways in several different areas of physics. If we ask what feature of the renormalization group is the greatest common factor, then we can say that it is a dilation transformation for lengths, momenta, and so on. Note also that the renormalization group really is a group in the mathematical sense.
In this chapter we delve into the subtleties of renormalization group equations specific to particle physics, covering both QED and non-Abelian gauge theories. The Callan–Symanzik equation is derived and its role in understanding asymptotically free theories is explored.
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Nishijima, K., Chaichian, M., Tureanu, A. (2023). Renormalization Group. In: Chaichian, M., Tureanu, A. (eds) Quantum Field Theory. Springer, Dordrecht. https://doi.org/10.1007/978-94-024-2190-3_20
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DOI: https://doi.org/10.1007/978-94-024-2190-3_20
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