REVIEW 2 cited by
Kinematic singularities of Feynman integrals and principal A-determinants
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
read the original abstract
We consider the analytic properties of Feynman integrals from the perspective of general A-discriminants and A-hypergeometric functions introduced by Gelfand,Kapranov and Zelevinsky (GKZ). This enables us, to give a clear and mathematically rigour description of the singular locus, also known as Landau variety, via principal A-determinants. We also comprise a description of the various second type singularities. Moreover, by the Horn-Kapranov-parametrization we give a very efficient way to calculate a parametrization of Landau varieties. We furthermore present a new approach to study the sheet structure of multivalued Feynman integrals by use of coamoebas.
Forward citations
Cited by 2 Pith papers
-
Differential Space of Feynman Integrals: Annihilators and $\mathcal{D}$-module
A Griffiths-Dwork based algorithm builds annihilators and D-modules for Feynman-like integrals, and in all tested cases the holonomic rank matches the twisted de Rham cohomology dimension.
-
Geometric Singularities of Feynman Integrals
A constructible function built from the vanishing hypersurface of a Feynman integrand is claimed to encode all Landau singularities, their microlocal directions, and the number of master integrals on each singular stratum.
Discussion (0). Sign in to comment.