One-loop functional RG flow of scalar theory with electroweak symmetry

Abstract

Using functional renormalization methods, we study the one-loop renormalization group evolution of theories with four scalars, at second order in the derivative expansion, in which electroweak symmetry is nonlinearly realized. In this framework we study the stability of O(4) symmetry and find the O(4)-violating eigenperturbations and their corresponding eigenspectrum around three different geometries of the target space, namely those of the flat space, cylinder and sphere.

24 pages; v2: slight improvement in presentation, references added, to appear in PRD

References in corpus (4)

• Exact evolution equation for the effective potential
• Fixed Points of Nonlinear Sigma Models in d>2
• Asymptotic safety and the gauged SU(N) nonlinear sigma-model
• The electroweak S and T parameters from a fixed point condition

Cited by in corpus (1)

• Functional Renormalization and $\overline{\text{MS}}$