1306.3918 (R. Percacci et al.)

Functional renormalization of $N$ scalars with O(N) invariance    [PDF]

R. Percacci, M. Safari

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.

View original: http://arxiv.org/abs/1306.3918