Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2009-08-07
Physics
Condensed Matter
Statistical Mechanics
5 pages
Scientific paper
In the usual statistical model of a dense polymer (a single space-filling loop on a lattice) in two dimensions the loop does not cross itself. We modify this by including intersections in which {\em three} lines can cross at the same point, with some statistical weight w per crossing. We show that our model describes a line of critical theories with continuously-varying exponents depending on w, described by a conformally-invariant non-linear sigma model with varying coupling constant g_\sigma^2 >0. For the boundary critical behavior, or the model defined in a strip, we propose an exact formula for the \ell-leg exponents, h_\ell=g_\sigma^2 \ell(\ell-2)/8, which is shown numerically to hold very well.
Candu Constantin
Jacobsen Jesper Lykke
Read Nicholas
Saleur Herbert
No associations
LandOfFree
Universality classes of dense polymers and conformal sigma models 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 Universality classes of dense polymers and conformal sigma models, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Universality classes of dense polymers and conformal sigma models will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-153608