English

Critical phenomena from the two-particle irreducible 1/N expansion

High Energy Physics - Phenomenology 2010-02-04 v1 Statistical Mechanics High Energy Physics - Theory Nuclear Theory

Abstract

The 1/N expansion of the two-particle irreducible (2PI) effective action is employed to compute universal properties at the second-order phase transition of an O(N)-symmetric N-vector model directly in three dimensions. At next-to-leading order the approach cures the spurious small-N divergence of the standard (1PI) 1/N expansion for a computation of the critical anomalous dimension eta(N), and leads to improved estimates already for moderate values of N.

Keywords

Cite

@article{arxiv.hep-ph/0404059,
  title  = {Critical phenomena from the two-particle irreducible 1/N expansion},
  author = {M. Alford and J. Berges and J. M. Cheyne},
  journal= {arXiv preprint arXiv:hep-ph/0404059},
  year   = {2010}
}

Comments

18 pages, 3 figures