What Do Grassmannians And Particle Colliders Have In Common?

          @misc{ pirsa_PIRSA:10050042,
            doi = {10.48660/10050042},
            url = {https://pirsa.org/10050042},
            author = {Cachazo, Freddy},
            keywords = {},
            language = {en},
            title = {What Do Grassmannians And Particle Colliders Have In Common?},
            publisher = {Perimeter Institute},
            year = {2010},
            month = {may},
            note = {PIRSA:10050042 see, \url{https://pirsa.org}}
          }
          

Abstract

In the past year, motivated by physics, a rich structure has emerged from studying certain contour integrals in Grassmannians. Physical considerations single out a natural meromorphic form in G(k,n) with a cyclic structure. The residues obtained from these contour integrals have been shown to be invariants of a Yangian algebra. These residues also control what happens deep inside collisions of protons taking place at colliders like the Large Hadron Collider or LHC at CERN. Applications of the Global Residue Theorem give rise to relations among residues which ensure important physical properties.