# Regge Theory vs Lattice QCD: Understanding Difficulties

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• Anashim
In summary, the conversation discusses the difficulty in understanding how a theory based on "very logical" and "common sense" assumptions, such as the S-Matrix theory, can make valid predictions in non-p QCD while lattice QCD does not. The speaker asks for comments from experts on this subject and expresses disinterest in string theory. However, they also ask for a specific problem to be made more specific. The conversation ends with the speaker stating that the review they referenced does not discuss lattice QCD and asks for a specific paragraph or plot to be pointed out.
Anashim
It is very difficult for me to understand that a theory based only in "very logical" and "common sense" assumptions (S-Matrix theory, prestring era) makes (some) valid predictions in non-p QCD, while lattice QCD does not. Could the experts comment on this subjet?

P.S.: Not interested in string theory

Why do you say lattice QCD is not making valid predictions? Could you make the problem more specific?

As far as I can tell, this review is not talking about lattice QCD at all (I searched the pdf for "lattice" and skimmed the contents)? Can you point to a specific paragraph or plot you are talking about?

## 1. What is Regge theory and how does it differ from Lattice QCD?

Regge theory is a theoretical framework used to study the behavior of particles at high energies, specifically in the context of quantum chromodynamics (QCD). It is based on the concept of Regge trajectories, which describe the relationship between the spin and energy of a particle. Lattice QCD, on the other hand, is a numerical approach used to solve QCD equations on a discrete grid in space and time. This allows for calculations of particle properties at low energies.

## 2. What are the main difficulties in understanding the relationship between Regge theory and Lattice QCD?

The main difficulty lies in the fact that Regge theory and Lattice QCD are two different approaches to studying the same theory, QCD. As a result, there is not a direct link between the two and it is challenging to reconcile the results obtained from each approach.

## 3. How do Regge trajectories and lattice simulations differ in their predictions?

Regge trajectories make predictions about high energy behavior, while lattice simulations are more accurate for low energy predictions. This is because Regge theory is based on analytical calculations and approximations, while lattice simulations rely on numerical calculations.

## 4. Can Regge theory and Lattice QCD be used together to study QCD?

Yes, they can be used together in complementary ways. Regge theory provides insights into high energy behavior, while lattice QCD is more accurate for low energy predictions. By combining the two approaches, a more complete understanding of QCD can be obtained.

## 5. What are some current research efforts towards understanding the relationship between Regge theory and Lattice QCD?

Researchers are working towards developing a unified framework that combines the strengths of both Regge theory and Lattice QCD. This involves developing new techniques and methods to bridge the gap between the two approaches and improve the accuracy of predictions. Additionally, there are ongoing efforts to compare and validate results obtained from each approach through collaborations and joint projects.

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