How Does RG Flow Change Dimensions in Ising Universality Classes?

  • Thread starter Thread starter atyy
  • Start date Start date
  • Tags Tags
    Change Dimension
Click For Summary
The discussion centers on the relationship between 2D and 3D Ising universality classes as depicted in a specific figure from a research paper. It raises the question of how renormalization group (RG) flow can lead to a change in dimensions. Participants speculate that the irrelevance of coupling between neighboring sheets might play a role in this phenomenon. Additionally, there is a request for more detailed literature on the calculations involved in this process. The conversation emphasizes the complexity of RG flow and its implications for understanding dimensional changes in statistical physics.
atyy
Science Advisor
Messages
15,170
Reaction score
3,379
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?
 
Physics news on Phys.org
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?

Maybe if the coupling between neighbouring sheets becomes irrelevant?
 

Similar threads

  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 4 ·
Replies
4
Views
1K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 42 ·
2
Replies
42
Views
3K
  • · Replies 1 ·
Replies
1
Views
2K
Replies
1
Views
744
  • · Replies 2 ·
Replies
2
Views
3K
  • · Replies 13 ·
Replies
13
Views
2K
  • · Replies 6 ·
Replies
6
Views
3K
  • · Replies 9 ·
Replies
9
Views
2K