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Humboldt-Universität zu Berlin - Faculty of Mathematics and Natural Sciences - Theoretical Particle Physics - Lattice Field Theory

Prof. Dr. Karen Yeats (Waterloo U)

Some discrete mathematical thoughts on Dyson-Schwinger equations
What
  • QFT Colloquium
When Feb 05, 2019 from 03:15 to 04:15 (Europe/Berlin / UTC100) iCal
Where Christian-Gerthsen-Hörsaal, Lise-Meitner-Haus, Newtonstraße 15, 12489 Berlin

Some discrete mathematical thoughts on Dyson-Schwinger equations

 

Dyson-Schwinger equations are the quantum analogues of the equations of motion and so are physically very important and useful.  In their diagrammatic form they also show some nice discrete mathematical structures.  For example, diagrammatically they generate certain classes of Feynman diagrams and so act like combinatorial specifications, and they are compatible with algebraic structures on Feynman diagrams, like renormalization Hopf algebras.  In this colloquium I will overview the physics and the math of this and close with a different combinatorial expansion that can go beyond naive Feynman diagrammatics and solve some Dyson-Schwinger equations using an unusual expansion indexed by rooted connected chord diagrams.

 

Coffee and cookies will be offered half an hour before the start of the colloquium.