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Summary
This paper calculates n-point hard string scattering amplitudes with n-2 tachyons and 2 tensor states at arbitrary mass levels, discovering the stringy scaling behavior of these amplitudes.
Highlights
- The paper calculates n-point hard string scattering amplitudes with n-2 tachyons and 2 tensor states.
- The stringy scaling behavior of these amplitudes is discovered.
- A set of diagonal and off-diagonal K-identities is proposed to simplify the calculation.
- The K-identities are explicitly proved for the 4-point HSSA and numerically checked for higher point HSSA.
- The degree of stringy scaling is found to decrease for HSSA with more than 2 transverse directions.
- The paper conjectures that off-diagonal K-identities are crucial for higher k tensor HSSA calculation.
- The results are consistent with the calculation of decoupling of zero-norm state method.
Key Insights
- The stringy scaling behavior of hard string scattering amplitudes is a crucial aspect of string theory, and this paper provides a significant contribution to its understanding.
- The proposal of diagonal and off-diagonal K-identities simplifies the calculation of n-point HSSA and reveals the stringy scaling behavior.
- The explicit proof of K-identities for the 4-point HSSA and numerical check for higher point HSSA provide strong evidence for the validity of the proposed method.
- The decrease in the degree of stringy scaling for HSSA with more than 2 transverse directions is an important finding, indicating a more complex structure of string theory.
- The conjecture that off-diagonal K-identities are crucial for higher k tensor HSSA calculation opens up new avenues for research in string theory.
- The consistency of the results with the calculation of decoupling of zero-norm state method provides a strong check on the validity of the proposed method.
- The paper's findings have significant implications for our understanding of string theory and its applications in particle physics and cosmology.
Mindmap
Citation
Lai, S.-H., Lee, J.-C., & Yang, Y. (2024). Stringy scaling of multi-tensor hard string scattering amplitudes and the K-identities (Version 1). arXiv. https://doi.org/10.48550/ARXIV.2412.19640