Conformal Invariance in the 2D Ising Model, M.Sc. Thesis Sharif University of Technology ; Esfahani Zadeh, Mostafa (Supervisor) ; Alishahi, Kasra (Co-Advisor)
Abstract
Many 2D lattice models of physical phenomena are conjectured to have conformally invariant scaling limits: percolation, Ising model, self-avoiding polymers, . . .This has led to numerous exact (but non-rigorous) predictions of their scaling exponents and dimensions. We will discuss how to prove the conformal invariance conjectures, especially in relation to Schramm-Loewner Evolution
Cataloging briefConformal Invariance in the 2D Ising Model, M.Sc. Thesis Sharif University of Technology ; Esfahani Zadeh, Mostafa (Supervisor) ; Alishahi, Kasra (Co-Advisor)
Abstract
Many 2D lattice models of physical phenomena are conjectured to have conformally invariant scaling limits: percolation, Ising model, self-avoiding polymers, . . .This has led to numerous exact (but non-rigorous) predictions of their scaling exponents and dimensions. We will discuss how to prove the conformal invariance conjectures, especially in relation to Schramm-Loewner Evolution
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