S-matrix Bounds Across Dimensions
Research Paper#Theoretical Physics, Quantum Field Theory, S-matrix🔬 Research|Analyzed: Jan 3, 2026 09:26•
Published: Dec 30, 2025 21:42
•1 min read
•ArXivAnalysis
This paper investigates the behavior of particle scattering amplitudes (S-matrix) in different spacetime dimensions (3 to 11) using advanced numerical techniques. The key finding is the identification of specific dimensions (5 and 7) where the behavior of the S-matrix changes dramatically, linked to changes in the mathematical properties of the scattering process. This research contributes to understanding the fundamental constraints on quantum field theories and could provide insights into how these theories behave in higher dimensions.
Key Takeaways
- •Applies non-perturbative S-matrix bootstrap techniques to study particle scattering.
- •Investigates scattering in spacetime dimensions from 3 to 11.
- •Identifies critical dimensions (5 and 7) where scattering behavior changes significantly.
- •Links these changes to threshold analyticity and positivity constraints.
- •Provides insights into the structure of massive S-matrices and potential implications for higher-dimensional quantum field theory.
Reference / Citation
View Original"The paper identifies "smooth branches of extremal amplitudes separated by sharp kinks at $d=5$ and $d=7$, coinciding with a transition in threshold analyticity and the loss of some well-known dispersive positivity constraints.""