The discussion centers on the relationship between the 2D and 3D Ising universality classes as depicted in figure 1.2 of the paper "http://arxiv.org/abs/0912.3272". It establishes that the renormalization group (RG) flow can indeed change dimensions, particularly when the coupling between neighboring sheets becomes irrelevant. Participants seek further reading on detailed calculations related to this phenomenon, emphasizing the need for deeper understanding of RG flow implications in statistical physics.
PREREQUISITESPhysicists, particularly those specializing in statistical mechanics, theoretical physicists studying phase transitions, and researchers interested in the mathematical foundations of renormalization group theory.
atyy said:In http://arxiv.org/abs/0912.3272 , figure 1.2 says that the 2D and 3D Ising universality classes are related by a renormalization flow. How can the RG flow change dimension? Is there anything I could read that does the calculation in more detail?