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Bethe Ansatz in Stringy Sigma Models

Eurostrings 2006. Cambridge, April 5, 2006. Bethe Ansatz in Stringy Sigma Models. with Konstantin Zarembo, hep-th/0603039. Thomas Klose. General aim: Solve String Theory on. Uppsala. Basic Form of Bethe Equations. “Phase shift” or “S-matrix”. ► Hamiltonian formalism.

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Bethe Ansatz in Stringy Sigma Models

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  1. Eurostrings 2006 Cambridge, April 5, 2006 Bethe Ansatz in Stringy Sigma Models with Konstantin Zarembo, hep-th/0603039 Thomas Klose General aim: Solve String Theory on Uppsala

  2. Basic Form of Bethe Equations “Phase shift” or “S-matrix” ► Hamiltonian formalism ► Lagrangian formalism

  3. “Quantum Direct Scattering Method” ► Assume Integrability and Factorization of S-matrix ► Compute 2-particle S-matrix using Feynman diagrams ► Write down Bethe equations

  4. Testing the “Quantum Direct Scattering Method” Consider Strings in subspaces of ► Stringy sigma models Landau-Lifshitz model: (fast moving strings) Alday-Arutyunov-Frolov model: Faddeev-Reshetikhin model:

  5. Testing the “Quantum Direct Scattering Method” Consider Strings in subspaces of ► Stringy sigma models

  6. Testing the “Quantum Direct Scattering Method” Consider Strings in subspaces of ► Stringy sigma models Without antiparticles that’s all there is:

  7. Testing the “Quantum Direct Scattering Method” Consider Strings in subspaces of ► Stringy sigma models Landau-Lifshitz model: Alday-Arutyunov-Frolov model: Faddeev-Reshetikhin model:

  8. Filling the Dirac Sea Energy pseudo vacuum reintroduce antiparticles physical vacuum

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