Solutions of the Polchinski ERG equation in the O(N) scalar model

Details Solutions of the Polchinski ERG equation in the O(N) scalar model Solutions of the Polchinski ERG equation in the O(N) scalar model

2002-02-27

arxiv.org/abs/hep-th/0202199v2

Int.J.Mod.Phys. A17 (2002) 4871-4902

Physics

High Energy Physics

High Energy Physics - Theory

34 pages, 10 figures. References added. Version accepted for publication in the International Journal of Modern Physics A

Scientific paper

10.1142/S0217751X02011400

Solutions of the Polchinski exact renormalization group equation in the
scalar O(N) theory are studied. Families of regular solutions are found and
their relation with fixed points of the theory is established. Special
attention is devoted to the limit $N=\infty$, where many properties can be
analyzed analytically.

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