Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2004-08-18
``Statistical Mechanics of Membranes and Surfaces'', Second Edition, D. R. Nelson, T. Piran,and S. Weinberg eds., pp 245-273,
Physics
Condensed Matter
Statistical Mechanics
32 pages, 9 figures, Second Part and extensive update of Lecture Notes originally given in ``Statistical Mechanics of Membrane
Scientific paper
We consider a model of a D-dimensional tethered manifold interacting by excluded volume in R^d with a single point. Use of intrinsic distance geometry provides a rigorous definition of the analytic continuation of the perturbative expansion for arbitrary D, 0 < D < 2. Its one-loop renormalizability is first established by direct resummation. A renormalization operation R is then described, which ensures renormalizability to all orders. The similar question of the renormalizability of the self-avoiding manifold (SAM) Edwards model is then considered, first at one-loop, then to all orders. We describe a short-distance multi-local operator product expansion, which extends methods of local field theories to a large class of models with non-local singular interactions. It vindicates the direct renormalization method used earlier in part I of these lectures, as well as the corresponding scaling laws.
No associations
LandOfFree
Statistical Mechanics of Self-Avoiding Manifolds (Part II) 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 Statistical Mechanics of Self-Avoiding Manifolds (Part II), we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Statistical Mechanics of Self-Avoiding Manifolds (Part II) will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-595464