Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1992-12-16
Phys.Rev.Lett. 70 (1993) 2205-2208
Physics
High Energy Physics
High Energy Physics - Theory
10 pages (1 figure, included), harvmac, SPhT/92-156
Scientific paper
10.1103/PhysRevLett.70.2205
We consider a model of D-dimensional tethered manifold interacting by excluded volume in R^d with a single point. By use of intrinsic distance geometry, we first provide a rigorous definition of the analytic continuation of its perturbative expansion for arbitrary D, 0 < D < 2. We then construct explicitly a renormalization operation, ensuring renormalizability to all orders. This is the first example of mathematical construction and renormalization for an interacting extended object with continuous internal dimension, encompassing field theory.
David Francois
Duplantier Bertrand
Guitter Emmanuel
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