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

Abstract

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.

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

References in corpus (6)

• Exact evolution equation for the effective potential
• Exact Renormalization Group Equations. An Introductory Review
• A gauge invariant exact renormalization group I
• Exact Scheme Independence
• Convergence of derivative expansions of the renormalization group
• Polchinski ERG Equation in O(N) Scalar Field Theory

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• Universality and the Renormalisation Group
• Can Renormalization Group Flow End in a Big Mess?
• Asymptotic safety of scalar field theories
• Nonlinear Aspects of the Renormalization Group Flows of Dyson's Hierarchical Model
• Revisiting the local potential approximation of the exact renormalization group equation
• Reparameterisation Invariance and RG equations: Extension of the Local Potential Approximation
• Redundant operators in the exact renormalisation group and in the f(R) approximation to asymptotic safety