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Rise of Linear Regge Trajectories
Yu-Tin Huang1,2,3, Sara Ricossa4, Francesco Riva4
1National Taiwan University, Department of Physics and Center for Theoretical Physics, Taipei 10617, Taiwan.
Physical Review Letters
|August 10, 2026
Summary
This study explores constraints on scalar amplitudes with higher-spin exchanges. It finds that a linear trajectory maximizes higher-spin couplings for resonances in ten dimensions, particularly for gravitational theories.
Area of Science:
- Theoretical Physics
- High-Energy Physics
- String Theory
Background:
- Understanding the low-energy spectrum of quantum field theories is crucial.
- Higher-spin exchanges introduce complexities in theoretical models.
- Unitarity, crossing symmetry, and superconvergent behavior are fundamental principles.
Purpose of the Study:
- To investigate constraints on low-energy spectra of scalar amplitudes.
- To determine the spectrum maximizing higher-spin couplings.
- To analyze the implications for gravitational theories.
Main Methods:
- Applying principles of unitarity and crossing symmetry.
- Assuming superconvergent high-energy behavior.
- Analyzing scalar amplitudes in ten dimensions.
Main Results:
- A linear trajectory consistently maximizes leading higher-spin couplings for second and third resonances.
- This optimal spectrum is defined by mass and spin.
- For gravitational theories, the graviton and lightest spin-4 resonance define the linear trajectory.
Conclusions:
- The findings provide constraints on theoretical models involving higher-spin exchanges.
- Linear trajectories represent an optimal spectrum in specific high-energy physics contexts.
- The results have direct implications for understanding gravitational theories.
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