Infra-red divergences in the large-N expansion

Details Infra-red divergences in the large-N expansion Infra-red divergences in the large-N expansion

2007-03-20

arxiv.org/abs/hep-lat/0703020v1

Physics

High Energy Physics

High Energy Physics - Lattice

PhD thesis. Milan December 11, 2006. Advisors: Sergio Caracciolo and Andrea Pelissetto

Scientific paper

We investigate a vectorial O(N) model with a generic nearest-neighbor interaction W(\bsigma_i\cdot \bsigma_j) (depending on {\cal N} tunable parameters), a Yukawa (and Gross Neveu) model with N_f fermions at finite temperature and the vectorial \phi^6 model, in the large N (N_f) limit. All this models exhibit a Mean Field critical point for N=\infinity. When 1/N fluctuations are included, infra red divergences appear near the critical point. In the framework of a generalized 1/N expansion we show that these divergences are related to a universal crossover mechanism between the Mean Field universality class (N=\infinity) and the nonclassical one for N<\infinity. For the generic nearest-neighbor interaction multicritical points are also investigated.

Affiliated with

Also associated with

No associations

Rating

Infra-red divergences in the large-N expansion does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Infra-red divergences in the large-N expansion, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Infra-red divergences in the large-N expansion will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-123273