Can ZETA REGULARIZATION avoid all the UV divergences ?

  • Context: Graduate 
  • Thread starter Thread starter zetafunction
  • Start date Start date
  • Tags Tags
    Regularization Uv
Click For Summary
SUMMARY

Zeta regularization effectively addresses ultraviolet (UV) divergences in quantum field theory by transforming divergent integrals into divergent sums, yielding finite results. The discussion references a specific paper (http://vixra.org/pdf/1005.0071v1.pdf) that supports this methodology, asserting the correctness of its equations. Additionally, it highlights previous forum threads that explore similar applications of zeta regularization, indicating a consistent interest in this approach among researchers, particularly those associated with Jose Javier Garcia Moreta.

PREREQUISITES
  • Understanding of quantum field theory
  • Familiarity with zeta regularization techniques
  • Knowledge of UV divergences in mathematical physics
  • Ability to interpret mathematical papers and research
NEXT STEPS
  • Research the application of zeta regularization in quantum field theory
  • Examine the paper linked in the discussion for detailed methodologies
  • Explore related threads on Physics Forums for community insights
  • Investigate alternative regularization techniques for comparison
USEFUL FOR

Physicists, mathematicians, and researchers focused on quantum field theory, particularly those interested in regularization methods and the resolution of UV divergences.

zetafunction
Messages
371
Reaction score
0
can ZETA REGULARIZATION avoid all the UV divergences ??

i found a paper http://vixra.org/pdf/1005.0071v1.pdf so using Zeta regularization i can regularize all the integrals by replacing divergent integrals by divergent sums and applying zeta regularization algorithm to get only FINITE results.

i think that ALL the equations in the paper are correct and that one can get FINITE results by applying zeta regularization even for divergent integrals.
 
Physics news on Phys.org
I see in the similar threads footer
https://www.physicsforums.com/showthread.php?t=392529
can zeta regularization provide FINITENESS to quantum field theory ?? (2010)

https://www.physicsforums.com/showthread.php?t=319678
Zeta regularization for UV divergences ?? (2009)

https://www.physicsforums.com/showthread.php?t=118868
Submitted Research: Zeta regularization as a renormalization tool..., by eljose (2006)

The papers linked-to are always either signed by Jose Javier Garcia Moreta
or else by a PF member from back in 2006 named "eljose"
Maybe you can somehow consolidate these threads, since they are all about the work of a single individual, always on the same topic.
 
Last edited:


I get FINITE results when I wear a MUUMUU and eat th' ZETA REGULARIZATION on a bran muffin!
 

Similar threads

  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 10 ·
Replies
10
Views
4K
  • · Replies 4 ·
Replies
4
Views
2K
Replies
3
Views
6K
  • · Replies 13 ·
Replies
13
Views
4K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 6 ·
Replies
6
Views
3K
  • · Replies 5 ·
Replies
5
Views
3K
  • · Replies 7 ·
Replies
7
Views
5K
  • · Replies 41 ·
2
Replies
41
Views
10K