Zeta function = vacuum Background?

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SUMMARY

The discussion centers on the relationship between the Riemann zeta function and quantum field theory (QFT), highlighting its role in renormalization methods. Participants reference Pierre Ramond's book, "Field Theory: A Modern Primer" (2nd edition, 1989), which details the zeta function's application in renormalization procedures. Additionally, the conversation touches on the concept of increasing ensembles of numbers and their connection to normalization in the context of space-vacuum and prime numbers. The exchange emphasizes the significance of the zeta function in theoretical physics and its implications for understanding fundamental concepts.

PREREQUISITES
  • Understanding of quantum field theory (QFT)
  • Familiarity with the Riemann zeta function
  • Knowledge of renormalization techniques in physics
  • Basic concepts of number theory related to prime numbers
NEXT STEPS
  • Read "Field Theory: A Modern Primer" by Pierre Ramond
  • Explore the renormalization procedure involving the Riemann zeta function
  • Investigate the implications of increasing ensembles of numbers in theoretical physics
  • Study "Dr. Riemann's Zeros" by Karl Sabbagh for deeper insights into the zeta function
USEFUL FOR

The discussion is beneficial for theoretical physicists, mathematicians, and researchers interested in the intersection of number theory and quantum field theory, particularly those exploring advanced concepts in renormalization and the Riemann zeta function.

Wave's_Hand_Particle
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Wave's_Hand_Particle said:
Here is a paper that has some interesting concepts:
http://arxiv.org/abs/hep-th/0412217
Is this possible/probable? :confused:

I haven't read that article,but I'm sure it's okay.I can tell u for sure that there is no wonder to the fact that Riemann's zeta function is involved in QFT.Actually a good method of renormalization of field theories is based upon a very ingenious generalization of the Riemann's zeta function.I would infer to the book by Pierre Ramond:"Field Theory:A Modern Primer" (2nd edition,1989) where there is chapter dedicated to zeta Riemann function renormalization procedure.

Daniel.
 
dextercioby said:
I haven't read that article,but I'm sure it's okay.I can tell u for sure that there is no wonder to the fact that Riemann's zeta function is involved in QFT.Actually a good method of renormalization of field theories is based upon a very ingenious generalization of the Riemann's zeta function.I would infer to the book by Pierre Ramond:"Field Theory:A Modern Primer" (2nd edition,1989) where there is chapter dedicated to zeta Riemann function renormalization procedure.

Daniel.

Many thanks, I have not heard of the 'renorm' procedure due to Zeta--Riemann, although I have worked out that for any increasing ensemble of numbers, there is a corresponding factor of representative zero, normalization?

This:http://homepage.ntlworld.com/paul.valletta/PRIME GRIDS.htm
is a poor example of a Grid background for Entropic Ensembles, where the increasing Zero's are "Space-Vacuum" oriented, and Prime numbers are decreasing WRT Matter.

This is idea was independent , and was put put some years ago.

P.S I have just bought a number of books, and one by Karl Sabbagh:Dr Riemann's Zeros, will hopefully help me to a greater understanding, thanks again.
 
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