Any Lattice Model for String Theory?

[Osiris]

Is there any lattice model for String Theory?

If there is such models, can anyone any good literature?


Many Thanks.

 

[tom.stoer]

what would you expect to learn from such a lattice model?

 

[Entropia]

There have been attempts to construct lattice models for string theory, but they have not been fully successful. The main challenge is that string theory is a continuum theory, which means that it does not have a discrete lattice structure. However, some researchers have proposed using a lattice as a regularization tool to make the theory more manageable.

One example is the "lattice string field theory" proposed by Ishibashi, Kawai, Kitazawa, and Tsuchiya in 1996. This approach involves discretizing the string worldsheet and using the lattice to regularize the theory. However, this model has not been widely accepted due to various technical and conceptual issues.

Other attempts to construct lattice models for string theory include the "matrix model" proposed by Banks, Fischler, Shenker, and Susskind in 1997, and the "tensor model" proposed by Sasakura in 2000. These models also have their own limitations and have not gained widespread acceptance.

In terms of literature, there are several papers and books that discuss lattice models for string theory, but they are mostly theoretical and technical in nature. Some examples include "Lattice Field Theory for Superstrings" by Ishibashi, Kawai, Kitazawa, and Tsuchiya, and "Matrix Models, Tensor Models, and Lattice Models of String Theory" by Sasakura.

In conclusion, while there have been attempts to construct lattice models for string theory, they have not been fully successful and are still a topic of ongoing research. Further developments in this area may provide a better understanding of the relationship between string theory and lattice models.