Interacting crumpled manifolds

Details Interacting crumpled manifolds Interacting crumpled manifolds

2001-09-30

arxiv.org/abs/cond-mat/0110011v1

J. Phys. A 35 (2002) 1195-1229

Physics

Condensed Matter

Scientific paper

10.1088/0305-4470/35/5/306

In this article we study the effect of a delta-interaction on a polymerized membrane of arbitrary internal dimension D. Depending on the dimensionality of membrane and embedding space, different physical scenarios are observed. We emphasize on the difference of polymers from membranes. For the latter, non-trivial contributions appear at the 2-loop level. We also exploit a ``massive scheme'' inspired by calculations in fixed dimensions for scalar field theories. Despite the fact that these calculations are only amenable numerically, we found that in the limit of D to 2 each diagram can be evaluated analytically. This property extends in fact to any order in perturbation theory, allowing for a summation of all orders. This is a novel and quite surprising result. Finally, an attempt to go beyond D=2 is presented. Applications to the case of self-avoiding membranes are mentioned.

Affiliated with

Also associated with

No associations

Rating

Interacting crumpled manifolds 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 Interacting crumpled manifolds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Interacting crumpled manifolds will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-83047