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Bootstrap Principle for the Spectrum and Scattering of Strings
Clifford Cheung1, Aaron Hillman1, Grant N Remmen2
1Walter Burke Institute for Theoretical Physics, <a href="https://ror.org/05dxps055">California Institute of Technology</a>, Pasadena, California 91125, USA.
Physical Review Letters
|January 3, 2025
Summary
The Veneziano amplitude is the unique solution to a string theory bootstrap problem. This uniqueness arises from specific high-energy scattering properties and higher-spin exchange cancellations in momentum transfer.
Area of Science:
- Theoretical Physics
- String Theory
- High-Energy Physics
Background:
- The Veneziano amplitude is a fundamental object in string theory, describing scattering amplitudes.
- Bootstrap problems in physics aim to find solutions based on self-consistency conditions.
Purpose of the Study:
- To demonstrate the unique solvability of the string theory bootstrap problem.
- To identify the conditions that lead to the Veneziano amplitude as the sole solution.
Main Methods:
- Analytical solution of a bootstrap problem in string theory.
- Investigating high-energy scattering behavior and momentum transfer properties.
Main Results:
- The Veneziano amplitude is shown to be the unique solution under specific assumptions.
- Uniqueness relies on faster-than-power-law falloff and cancellation of higher-spin exchanges.
- The string amplitude and mass spectrum emerge as outputs of this bootstrap.
Conclusions:
- The study establishes the Veneziano amplitude's unique role in string theory through analytical bootstrapping.
- The findings highlight the importance of specific high-energy scattering properties for theoretical consistency.
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