Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Status Confirmed
Seminar Series SEM-LPTHE
Subjects cond-mat.stat-mech
Date Friday 19 January 2018
Time 11:00
Institute LPTHE
Seminar Room Bibliothèque
Speaker's Last Name Morin-Duchesne
Speaker's First Name Alexi
Speaker's Email Address
Speaker's Institution Université de Louvain-la-Neuve
Title Two-point boundary correlation functions of dense loop models
Abstract 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.
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