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Introduction to the functional RG and applications to gauge theories

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arxiv hep-ph/0611146 v1 pith:B64A7RQU submitted 2006-11-10 hep-ph

Introduction to the functional RG and applications to gauge theories

classification hep-ph
keywords flowlecturefunctionalgaugeequationequationsformalismgeneral
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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These lectures contain an introduction to modern renormalization group (RG) methods as well as functional RG approaches to gauge theories. In the first lecture, the functional renormalization group is introduced with a focus on the flow equation for the effective average action. The second lecture is devoted to a discussion of flow equations and symmetries in general, and flow equations and gauge symmetries in particular. The third lecture deals with the flow equation in the background formalism which is particularly convenient for analytical computations of truncated flows. The fourth lecture concentrates on the transition from microscopic to macroscopic degrees of freedom; even though this is discussed here in the language and the context of QCD, the developed formalism is much more general and will be useful also for other systems.

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