Configuration space vs physical space

In summary: So if you have n elementary systems in configurationspace, you get n positions in the underlying Lie algebra. Now, if youapply the commutator (of the Lie algebra's Lie bracket), you get a new Lie bracket that isassociated with the product of the original Lie bracket and the position of theelement corresponding to the elementary system in configuration space. Now, theposition of this product is a position in the underlying Lie algebra. Thisoperation is associative, so it can be undone (and so on)... So you can goback and forth between configuration space and the underlying Lie algebra"at will." This is just an abstract way of saying that the configurationspace corresponds to a "view" of
  • #71
Wouldn't a configuration space offer a better alternative to renormalisation?
Then below a specified minimum coordinate range space is 'undefined' - that would help us with some of our cowboy infinities I believe...
 

Similar threads

  • Quantum Physics
Replies
1
Views
719
Replies
10
Views
1K
  • Quantum Physics
Replies
1
Views
965
  • Quantum Physics
Replies
5
Views
865
Replies
1
Views
745
Replies
1
Views
921
Replies
6
Views
1K
Replies
67
Views
5K
  • Quantum Physics
3
Replies
94
Views
25K
Replies
12
Views
2K
Back
Top