Exact Renormalization Group Equations. An Introductory Review

Details Exact Renormalization Group Equations. An Introductory Review Exact Renormalization Group Equations. An Introductory Review

2000-02-04

arxiv.org/abs/hep-th/0002034v2

Phys.Rept.348:91,2001

Physics

High Energy Physics

High Energy Physics - Theory

Final version to appear in Phys. Rep.; Many references added, section 4.2 added, minor corrections. 65 pages, 6 figs

Scientific paper

10.1016/S0370-1573(00)00137-X

We critically review the use of the exact renormalization group equations (ERGE) in the framework of the scalar theory. We lay emphasis on the existence of different versions of the ERGE and on an approximation method to solve it: the derivative expansion. The leading order of this expansion appears as an excellent textbook example to underline the nonperturbative features of the Wilson renormalization group theory. We limit ourselves to the consideration of the scalar field (this is why it is an introductory review) but the reader will find (at the end of the review) a set of references to existing studies on more complex systems.

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