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?
RG Dimension Change is a concept used in physics and engineering to describe the change in dimensions of a physical system as it moves or undergoes a transformation. It is important in calculations because it allows us to accurately predict how a system will behave in different conditions or configurations.
The calculation for RG Dimension Change varies depending on the specific system being analyzed. In general, it involves determining the initial and final dimensions of the system and calculating the ratio between them. This ratio is then used to predict the behavior of the system in different situations.
Yes, RG Dimension Change can be observed in everyday life. For example, when a rubber band is stretched, its dimensions change and it becomes longer and thinner. Similarly, when a metal object is heated, it expands and its dimensions change.
RG Dimension Change and scale are closely related concepts. Scale refers to the size of an object or system in relation to another object or system. RG Dimension Change, on the other hand, refers to the change in dimensions of a system itself. Both concepts are important in accurately predicting the behavior of systems in different situations.
Yes, there are some limitations to using RG Dimension Change in calculations. It is important to note that this concept is based on certain assumptions and may not accurately predict the behavior of all systems. Additionally, in some cases, the calculation may become complex and require advanced mathematical techniques.