Functional renormalization of N scalars with O(N) invariance

Abstract

We discuss general theories of N scalar fields with O(N) symmetry. In addition to the standard case of linearly realized symmetry there are also examples that carry nonlinear realizations, with the topology of a cylinder $R\times S^{N-1}$ or a sphere $S^N$. We write flow equations for the theory in the second order of the derivative expansion in the background field and discuss the properties of scaling solutions with vanishing potential.

32 pages; v.2: one reference added, small corrections, to appear in PRD

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Cited by in corpus (7)

• The nonperturbative functional renormalization group and its applications
• Splitting Ward identity
• Functional Renormalization and $\overline{\text{MS}}$
• Covariant and single-field effective action with the background-field formalism
• One-loop functional RG flow of scalar theory with electroweak symmetry
• Functional Renormalization Group Analysis of $O(3)$ Nonlinear Sigma Model and Non-Abelian Bosonization Duality
• Field redefinition and renormalisability in scalar field theories