Renormalisation Group Flow and Geodesics in the O(N) Model for Large N

Details Renormalisation Group Flow and Geodesics in the O(N) Model for Large N Renormalisation Group Flow and Geodesics in the O(N) Model for Large N

1997-02-21

arxiv.org/abs/hep-th/9702156v2

Nucl.Phys. B528 (1998) 553-576

Physics

High Energy Physics

High Energy Physics - Theory

24 pages, plain TeX, 6 figures. Includes an expanded discussion of the metric and some minor corrections

Scientific paper

10.1016/S0550-3213(98)00457-X

A metric is introduced on the space of parameters (couplings) describing the large N limit of the O(N) model in Euclidean space. The geometry associated with this metric is analysed in the particular case of the infinite volume limit in 3 dimensions and it is shown that the Ricci curvature diverges at the ultra-violet (Gaussian) fixed point but is finite and tends to constant negative curvature at the infra-red (Wilson-Fisher) fixed point. The renormalisation group flow is examined in terms of geodesics of the metric. The critical line of cross-over from the Wilson-Fisher fixed point to the Gaussian fixed point is shown to be a geodesic but all other renormalisation group trajectories, which are repulsed from the Gaussian fixed point in the ultra-violet, are not geodesics. The geodesic flow is interpreted in terms of a maximisation principle for the relative entropy.

Affiliated with

Also associated with

No associations

Rating

Renormalisation Group Flow and Geodesics in the O(N) Model for Large N 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 Renormalisation Group Flow and Geodesics in the O(N) Model for Large N, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Renormalisation Group Flow and Geodesics in the O(N) Model for Large N will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-400143