Sigma models with $A_k$ singularities in Euclidean spacetime of dimension 0<=D<4 and in the limit N->infinity

Details Sigma models with $A_k$ singularities in Euclidean spacetime of dimension 0<=D<4 and in the limit N->infinity Sigma models with $A_k$ singularities in Euclidean spacetime of dimension 0<=D<4 and in the limit N->infinity

1995-10-09

arxiv.org/abs/hep-th/9510043v1

Z.Phys. C72 (1996) 689-698

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 25 pages, no figures

Scientific paper

10.1007/BF02909202

For the case of the single-O($N$)-vector linear sigma models the critical behaviour following from any $A_k$ singularity in the action is worked out in the double scaling limit $N \rightarrow \infty$, $f_r \rightarrow f_r^c$, $2 \leq r \leq k$. After an exact elimination of Gaussian degrees of freedom, the critical objects such as coupling constants, indices and susceptibility matrix are derived for all $A_k$ and spacetime dimensions $0 \leq D < 4$. There appear exceptional spacetime dimensions where the degree $k$ of the singularity $A_k$ is more strongly constrained than by the renormalizability requirement.

Affiliated with

Also associated with

No associations

Rating

Sigma models with $A_k$ singularities in Euclidean spacetime of dimension 0<=D<4 and in the limit N->infinity 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 Sigma models with $A_k$ singularities in Euclidean spacetime of dimension 0<=D<4 and in the limit N->infinity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Sigma models with $A_k$ singularities in Euclidean spacetime of dimension 0<=D<4 and in the limit N->infinity will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-168654