Strange definition of regularization of Operators

  • Thread starter mhill
  • Start date
  • #1
188
1
surfing the web and arxiv i found the strange formula

[tex] lnA= \frac{d^{n}}{ds^{n}} \frac{s^{n-1}}{n! A^{s}} [/tex]

my question is .. where does this formula come from ??

here 'n' is supposed to be a finite parameter we must define to avoid the divergences, is it valid for non-renormalizable or renormalizable theories ??
 

Answers and Replies

  • #2
ZapperZ
Staff Emeritus
Science Advisor
Education Advisor
Insights Author
35,847
4,670
surfing the web and arxiv i found the strange formula
Whenever you want to do something like this, you must make a full citation of the source to put this into a proper context. Or else this may not make any sense.

Zz.
 
  • #4
410
0
The [tex]-\lim_{s\to 0}[/tex] out in front is important.
 
  • #5
410
0
Formally taking a derivative wrt to [tex]A[/tex] on both sides should prove the identity to you.
 

Related Threads on Strange definition of regularization of Operators

Replies
2
Views
4K
Replies
2
Views
1K
  • Last Post
Replies
2
Views
2K
  • Last Post
Replies
1
Views
2K
Replies
3
Views
4K
  • Last Post
Replies
5
Views
5K
  • Last Post
Replies
2
Views
1K
Replies
5
Views
802
  • Last Post
Replies
2
Views
2K
Top