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A Combinatorial Tale of Two Scattering Amplitudes: See Two Bijections
[article]
2022
arXiv
pre-print
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 of the c_2-invariant, an arithmetic invariant related to the Feynman integral in ϕ^4-theory, which studies the zeros of the Kirchoff polynomial and related graph polynomials. Through reformulating the c_2-invariant as a purely combinatorial problem, we show how enumerating certain
arXiv:2206.04749v1
fatcat:e2rs7ksm7fgrpex4qdcevwy6ly