Four lectures on Euler integrals
Saiei-Jaeyeong Matsubara-Heo, Sebastian Mizera, Simon Telen
Abstract
These lecture notes provide a self-contained introduction to Euler integrals, which are frequently encountered in applications. In particle physics, they arise as Feynman integrals or string amplitudes. Our four selected topics demonstrate the diverse mathematical techniques involved in the study of Euler integrals, including polyhedral geometry, very affine varieties, differential equations, and computational algebra.
Topics & Concepts
Euler's formulaAffine transformationString (physics)Feynman diagramSlater integralsMathematicsFeynman integralAlgebra over a fieldOrder of integration (calculus)Calculus (dental)Pure mathematicsMathematical analysisMathematical physicsMedicineDentistryAlgebraic Geometry and Number TheoryPolynomial and algebraic computationAlgebraic structures and combinatorial models