Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Statut Confirmé
Série SEM-LPTHE
Domaines cond-mat.stat-mech
Date Vendredi 19 Janvier 2018
Heure 11:00
Institut LPTHE
Salle Bibliothèque
Nom de l'orateur Morin-Duchesne
Prenom de l'orateur Alexi
Addresse email de l'orateur
Institution de l'orateur Université de Louvain-la-Neuve
Titre Two-point boundary correlation functions of dense loop models
Résumé We investigate six types of two-point boundary correlation functions in the dense loop model. These are defined as ratios Z/Z' of partition functions on the rectangle, with specific choices of the boundary conditions on one edge. For the model of critical dense polymers, we obtain determinant and pfaffian expressions for these correlators. We analyse their critical behavior in the scaling limit and their contribution to the corner free energy via the Cardy-Peschel formula. Remarkably, the results are in perfect agreement with the CFT predictions, wherein the two-point functions are interpreted as the expectation values of boundary changing conformal fields. In particular, one field of vanishing conformal weight is found to be logarithmic, and inserting it in the corner yields a log(log n) contribution to the corner free energy. Joint work with Jesper Jacobsen.
Numéro de preprint arXiv
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