Publication : t92/156

Renormalization of crumpled manifolds

David F. (CEA, DSM, SPhT (Service de Physique Théorique), F-91191 Gif-sur-Yvette, FRANCE)
Duplantier B. (CEA, DSM, SPhT (Service de Physique Théorique), F-91191 Gif-sur-Yvette, FRANCE)
Guitter E. (CEA, DSM, SPhT (Service de Physique Théorique), F-91191 Gif-sur-Yvette, FRANCE)
Abstract:
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.
Année de publication : 1993
Revue : Phys. Rev. Lett. 70 2205-2208 (1993)
DOI : 10.1103/PhysRevLett.70.2205
Preprint : arXiv:hep-th/9212102
Lien : http://link.aps.org/abstract/PRL/v70/p2205
Langue : Anglais

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