Integrability for Feynman integrals Article Swipe
Related Concepts
Yangian
Propagator
Mathematical physics
Feynman diagram
Integrable system
Symmetry (geometry)
Massless particle
Regularization (linguistics)
Physics
Mathematics
Pure mathematics
Algebra over a field
Geometry
Philosophy
Linguistics
Florian Loebbert
·
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.21468/scipostphysproc.14.008
· OA: W4388941520
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.21468/scipostphysproc.14.008
· OA: W4388941520
We give a brief overview of the Yangian symmetry of Feynman integrals. After a short introduction to the Yangian and integrability, we motivate the emergence of integrable structures for Feynman integrals via the fishnet limit of AdS/CFT. We discuss the resulting Yangian differential equations for massless fishnets in four dimensions as well as generalizations to massive propagators and generic dimensions. We also comment on the relation to momentum space conformal symmetry and on examples in dimensional regularization. Finally we sketch the recent application to fishnet integrals in two spacetime dimensions and the curious identification of Yangian invariants with period integrals of Calabi-Yau geometries.
Related Topics
Finding more related topics…