English

Functional renormalization of N scalars with O(N) invariance

High Energy Physics - Theory 2013-10-30 v2 High Energy Physics - Phenomenology

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×SN1R\times S^{N-1} or a sphere SNS^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.

Keywords

Cite

@article{arxiv.1306.3918,
  title  = {Functional renormalization of N scalars with O(N) invariance},
  author = {R. Percacci and M. Safari},
  journal= {arXiv preprint arXiv:1306.3918},
  year   = {2013}
}

Comments

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