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Multiparticle Flux-Tube S-matrix Bootstrap.

Andrea Guerrieri1,2, Alexandre Homrich1, Pedro Vieira1,3

  • 1Perimeter Institute for Theoretical Physics, 31 Caroline Street North, Waterloo, Ontario N2L 2Y5, Canada.

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We introduce jets, states of collinear flux-tube excitations, and use the S-matrix bootstrap to bound multiparticle sum rules. These bounds reveal a tiny allowed region for flux-tube theories, including Yang-Mills.

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Area of Science:

  • Theoretical High Energy Physics
  • Quantum Field Theory
  • String Theory

Background:

  • Flux tubes are fundamental in understanding confining forces in theories like Quantum Chromodynamics.
  • Previous studies explored flux-tube theories, often relying on lattice simulations for insights.
  • The need for a rigorous, analytic framework to constrain these theories has been recognized.

Purpose of the Study:

  • To introduce and define 'jets' as states of collinear flux-tube excitations.
  • To establish the analytic properties (analyticity, crossing, unitarity) of multiparticle jet scattering.
  • To utilize the S-matrix bootstrap to derive constraints on flux-tube theories.

Main Methods:

  • Definition of jets as specific excitations of flux tubes.
  • Application of S-matrix theory principles: analyticity, crossing, and unitarity.
  • Employing the S-matrix bootstrap method to analyze finite-energy multiparticle sum rules.

Main Results:

  • Bounds derived from sum rules create a 'matrioska' structure, progressively shrinking the allowed parameter space.
  • The Yang-Mills flux tube theory is found to reside within a remarkably small region of allowed theories.
  • This constrained region is orders of magnitude smaller than the general space of possible flux-tube theories.

Conclusions:

  • The S-matrix bootstrap provides powerful constraints on flux-tube theories, going beyond lattice simulations.
  • Jets offer a new perspective on understanding particle states in confining theories.
  • The results suggest a highly restricted landscape for physically realistic flux-tube theories.