Can ZETA REGULARIZATION avoid all the UV divergences ?

In summary, Zeta regularization is a method that can be used to regularize integrals and obtain finite results in quantum field theory. This method involves replacing divergent integrals with divergent sums and applying a zeta regularization algorithm. Various papers have been written on this topic, all discussing the work of Jose Javier Garcia Moreta or "eljose" from 2006. There have been discussions on whether zeta regularization can provide finiteness to quantum field theory and its effectiveness in dealing with UV divergences.
  • #1
zetafunction
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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.
 
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  • #2
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.
 
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  • #3


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

What is ZETA REGULARIZATION?

ZETA REGULARIZATION is a mathematical technique used in theoretical physics to handle ultraviolet (UV) divergences in quantum field theories.

What are UV divergences?

UV divergences are mathematical infinities that arise in quantum field theories when calculating physical quantities at very high energies.

Can ZETA REGULARIZATION avoid all UV divergences?

No, ZETA REGULARIZATION is not a universal solution for all UV divergences. It is only effective in certain cases and cannot eliminate all divergences.

How does ZETA REGULARIZATION work?

ZETA REGULARIZATION works by introducing a parameter (called zeta) into the equations that govern the quantum field theory, which helps to regulate and control the UV divergences. This parameter is then taken to a specific value to eliminate the divergences.

What are some alternative methods for handling UV divergences?

Other methods for dealing with UV divergences include dimensional regularization, lattice regularization, and renormalization. Each method has its own advantages and limitations, and the most appropriate approach depends on the specific quantum field theory being studied.

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