Browsing Mathematics (Faculty of) by Supervisor "Yeats, Karen"
Now showing items 1-3 of 3
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A Combinatorial Tale of Two Scattering Amplitudes: See Two Bijections
(University of Waterloo, 2022-01-07)In this thesis, we take a journey through two different but not dissimilar stories with an underlying theme of combinatorics emerging from scattering amplitudes in quantum field theories. The first part tells the tale ... -
On Enumerative Structures in Quantum Field Theory
(University of Waterloo, 2020-07-13)This thesis addresses a number of enumerative problems that arise in the context of quantum field theory and in the process of renormalization. In particular, the enumeration of rooted connected chord diagrams is further ... -
Sequences of Trees and Higher-Order Renormalization Group Equations
(University of Waterloo, 2019-08-27)In 1998, Connes and Kreimer introduced a combinatorial Hopf algebra HCK on the vector space of forests of rooted trees that precisely explains the phenomenon of renormalization in quantum field theory. This Hopf algebra ...