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Publications du LPTA |  |
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Publications du LPTA | |
| HAL : hal-00417638, version 1 |
| Fiche détaillée |  Récupérer au format |
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| The Renormalization Group and Statistical Mechanics, Vancouver : Canada (2009) |
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| Renormalization group analysis of a weakly self-avoiding Levy walk in the cubic lattice Z^3. |
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| Pronob Mitter1 |
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| (06/07/2009) |
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| The Green's function of a weakly self-avoiding Levy walk with long range jumps in a large but finite cube in Z^3 can be expressed as the two point correlation function in a supersymmetric field theory. We have proved the global existence of the renormalization group trajectory of the underlying supersymmetric measure at all renormalization group scales . We establish the existence of the critical (stable) manifold and prove that the interactions are bounded away from zero on all scales. This is a step in a program to study rigorously the critical exponents of a self- avoiding Levy walk. Based on joint work with Benedetto Scoppola published in J.Stat Phys (2008) 133:921-1011. |
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| 1 : | LPTA - Laboratoire de Physique Théorique et Astroparticules |
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| Domaine | : | Mathématiques/Physique mathématique Physique/Physique mathématique |
| hal-00417638, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00417638 | |
| oai:hal.archives-ouvertes.fr:hal-00417638 | |
| Contributeur : Logiciel Aigle | |
| Déposé pour le compte de : | |
| Soumis le : Mercredi 16 Septembre 2009, 14:34:10 | |
| Dernière modification le : Mercredi 16 Septembre 2009, 14:34:14 | |
