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

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

2004-04-06

arxiv.org/abs/hep-ph/0404059v1

Phys.Rev.D70:125002,2004

Physics

High Energy Physics

High Energy Physics - Phenomenology

18 pages, 3 figures

Scientific paper

10.1103/PhysRevD.70.125002

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.

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