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math-ph2022★ 1 cited
On the Homology of Unions of Certain Non-Degenerate Quadrics in General Position
Maximilian Mühlbauer
Motivated by problems arising in the complex analysis of perturbative quantum field theory, we investigate the homology of finite unions of certain non-degenerate quadratic affine…
math-ph2022
Cutkosky's Theorem for Massive One-Loop Feynman Integrals -- Part 1
Maximilian Mühlbauer
We formulate and prove Cutkosky's Theorem regarding the discontinuity of Feynman integrals in the massive one-loop case up to the involved intersection index. This is done by apply…
math-ph2020★ 7 cited
Momentum Space Landau Equations Via Isotopy Techniques
Maximilian Mühlbauer
We investigate the analytic structure of functions defined by integrals with integrands singular on a finite union of quadrics. The main motivation comes from Feynman integrals whi…