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Chaos in a Many-String Scattering Amplitude.

Vladimir Rosenhaus1

  • 1Initiative for the Theoretical Sciences, The Graduate Center, City University of New York 365 Fifth Avenue, New York, New York 10016, USA.

Physical Review Letters
|July 29, 2022
PubMed
Summary

String theory offers a new way to calculate scattering amplitudes for light strings. This research details a process for creating highly excited strings, potentially illustrating chaos in particle interactions.

Area of Science:

  • Theoretical Physics
  • String Theory
  • Quantum Field Theory

Background:

  • String theory offers a framework for unifying quantum mechanics and general relativity.
  • Scattering amplitudes are fundamental to understanding particle interactions.
  • Previous studies have explored string amplitudes, but specific processes for generating excited states require further investigation.

Purpose of the Study:

  • To derive a compact integral expression for tree-level scattering amplitudes of light strings.
  • To analyze amplitudes involving tachyons and photons, focusing on specific polarizations and kinematics.
  • To identify a physical process for creating highly excited strings and illustrate chaos in many-particle scattering.

Main Methods:

  • Utilizing string theory to formulate a compact integral expression for scattering amplitudes.

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  • Focusing on specific configurations of tachyons and photons with chosen polarizations and kinematics.
  • Analyzing a particular pole in the amplitude corresponding to successive photon scatterings.

    • Main Results:

    • A compact integral expression for tree-level scattering amplitudes of light strings has been derived.
    • A specific scattering process leading to a highly excited string intermediate state was identified.
    • The erratic behavior of the amplitude suggests potential for demonstrating chaos in many-particle scattering.

    Conclusions:

    • The study provides a method for creating highly excited strings through photon scattering.
    • The findings offer a potential illustration of chaos in many-particle scattering within string theory.
    • This work advances the understanding of scattering amplitudes and their implications in theoretical physics.