Abstract:Année de publication : 1993
We consider a model of $D$-dimensional tethered manifold interacting by excluded volume in \Rr${}^d$ 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 {\ninebf R}, 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.
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