Exact renormalization group equations: an introductory review. (English) Zbl 0969.81596

Bagnuls, C.; Bervillier, C.

Phys. Rep. 348, No. 1-2, 91-157 (2001).

Summary: 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.

MSC:

81T17

Renormalization group methods applied to problems in quantum field theory

Keywords:

derivative expansion; scalar field; nonperturbative renormalization

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