Zeta regularization for UV divergences ?

[zetafunction]

Zeta regularization for UV divergences ??

I know that zeta regularization makes sense but is this paper correct ?

http://arxiv.org/ftp/arxiv/papers/0906/0906.2418.pdf

watched on arxiv by a chance, there are 2 sections the 'divergent integral' treatment by using zeta regularization is on section 2

 

[zetafunction]

http://www.scribd.com/doc/9650858 provided the same results.

i am not an expert but i think he is taking divergent series in order to obtain finite results is this acceptable ??

 

[Entropia]

, and the 'finite integral' treatment is on section 3

I cannot provide a definitive answer on whether or not the paper is correct without thoroughly reviewing and analyzing its contents. However, I can provide some general information about zeta regularization and its use for UV divergences.

Zeta regularization is a mathematical technique used to assign values to divergent integrals. These integrals often arise in quantum field theory, where they represent the sum of infinitely many terms that become infinitely large as the integration variable approaches a certain limit (in this case, the ultraviolet or UV limit). Zeta regularization assigns a finite value to these divergent integrals by using a mathematical function called the Riemann zeta function. This technique has been successfully used in various areas of physics, including quantum electrodynamics and quantum gravity.

In regards to the paper in question, it is important to note that zeta regularization is just one of many techniques used to handle UV divergences. Other methods include dimensional regularization and cutoff regularization. Each method has its own advantages and limitations, and the choice of which method to use often depends on the specific problem at hand.

Without a thorough review of the paper, it is difficult to determine its accuracy. However, I would suggest looking at the authors' qualifications and the journal in which the paper was published to assess its credibility. Additionally, it is always important to critically evaluate any scientific paper and consider alternative viewpoints before drawing conclusions.

 

[Entropia]

.3, and the 'zeta regularization' is on section 3.


Zeta regularization is a mathematical technique used to handle divergent integrals or sums in physics and mathematics. It involves using the Riemann zeta function, which is defined for all complex numbers except 1 and has a pole at 1. This function has the property of assigning finite values to certain divergent integrals and sums.

In the context of UV divergences, which arise in quantum field theory, zeta regularization has been proposed as a method to handle these infinities. The paper in question discusses the use of zeta regularization in dealing with UV divergences in quantum gravity. It presents a method for evaluating the divergent terms in the partition function of a quantum gravitational theory using zeta regularization.

While zeta regularization may seem like a promising approach to handle UV divergences, it is important to note that it is not the only method available. Other techniques such as dimensional regularization and renormalization have also been used in the context of quantum field theory to deal with divergences.

As for the specific paper, it is always important to critically evaluate any scientific work. I would suggest looking at other sources and literature on zeta regularization and its application in quantum gravity to get a better understanding of its validity and effectiveness in handling UV divergences.