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Scattering Amplitudes and Positive Grassmannian by Jaroslav Trnka

Scattering Amplitudes and Positive Grassmannian by Jaroslav Trnka

International Centre for Theoretical Sciences via YouTube Direct link

11:30 am | 10 DEC 2018

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1 of 65

11:30 am | 10 DEC 2018

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Scattering Amplitudes and Positive Grassmannian by Jaroslav Trnka

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  1. 1 11:30 am | 10 DEC 2018
  2. 2 Scattering Amplitudes and the Positive Grassmannian
  3. 3 Scattering of elementary particles
  4. 4 Theorist's perspective What happens during scattering experiment?
  5. 5 New picture: on-shell diagrams Remarkable connection to mathematics
  6. 6 Motivation
  7. 7 Elementary particles and forces
  8. 8 Quantum field theory
  9. 9 Scattering amplitude
  10. 10 Perturbative expansion
  11. 11 Feynman diagrams
  12. 12 Search for new physics
  13. 13 Amplitudes of gluon's
  14. 14 Parke-Taylor formula
  15. 15 Amplitudes as a new field
  16. 16 Problem with Feynman diagrams
  17. 17 New objects
  18. 18 Kinematics of massless particles
  19. 19 Fundamental amplitudes
  20. 20 Definition of on-shell diagrams
  21. 21 On-shell diagrams
  22. 22 Amplitudes from on-shell diagrams
  23. 23 Simple examples
  24. 24 Simplicity revealed
  25. 25 Identity moves
  26. 26 Precise statement
  27. 27 Permutations
  28. 28 New look at permutations
  29. 29 Identity moves
  30. 30 Yang-Baxter moves
  31. 31 Reduced information
  32. 32 Positive Grassmannian
  33. 33 Positive matrices
  34. 34 Face variables
  35. 35 Perfect orientation
  36. 36 Boundary measurement
  37. 37 Entries of matrix
  38. 38 Positive matrix
  39. 39 Edge variables
  40. 40 Cell in the Positive Grassmannian
  41. 41 Example of configuration
  42. 42 Example of stratification
  43. 43 Relation to permutations
  44. 44 Boundary operator
  45. 45 Stratification of the positive Grassmannian
  46. 46 Summary of positive Grassmannian
  47. 47 Connection to cluster algebras
  48. 48 Seed and mutation
  49. 49 Square-move
  50. 50 Surprising connection
  51. 51 Connection
  52. 52 Cluster transformation
  53. 53 Momentum conservation
  54. 54 Geometry of delta function
  55. 55 Logarithmic form
  56. 56 Derivation: starting with 3pt
  57. 57 Amalgamation procedure
  58. 58 New procedure
  59. 59 Conclusion
  60. 60 Summary
  61. 61 Amplituhedron
  62. 62 Non-planar on-shell diagrams
  63. 63 Resources
  64. 64 Thank you!
  65. 65 Amplituhedron

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