Feynman graphs and hyperplane arrangements defined over F1
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Geometry and Physics"
DOI: 10.1016/j.geomphys.2021.104368
Abstract: Motivated by some computations of Feynman integrals and certain conjectures on mixed Tate motives, Bejleri and Marcolli posed questions about the F1-structure (in the sense of torification) on the complement of a hyperplane arrangement, especially… read more here.
Keywords: space; graphs hyperplane; hyperplane arrangements; feynman graphs ... See more keywords
A combinatorial matrix approach for the generation of vacuum Feynman graphs multiplicities in $\phi^{4}$ theory
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Physics A: Mathematical and Theoretical"
DOI: 10.1088/1751-8121/aad9b4
Abstract: From the standard procedure for constructing Feynman vacuum graphs in $\phi^4$ theory from the generating functional $Z$, we find a relation with sets of certain combinatorial matrices, which allows us to generate the set of… read more here.
Keywords: graphs multiplicities; vacuum feynman; feynman graphs; phi theory ... See more keywords
Yangian Symmetry for Fishnet Feynman Graphs
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DOI: 10.1103/physrevd.96.121901
Abstract: Various classes of fishnet Feynman graphs are shown to feature a Yangian symmetry over the conformal algebra. We explicitly discuss scalar graphs in three, four and six spacetime dimensions as well as the inclusion of… read more here.
Keywords: graphs; feynman graphs; fishnet feynman; yangian symmetry ... See more keywords