Feynman diagrams in four-dimensional holomorphic theories and the Operatope
Kasia Budzik, Davide Gaiotto, Justin Kulp, Jingxiang Wu, Matthew Yu
Abstract
A bstract We study a class of universal Feynman integrals which appear in four-dimensional holomorphic theories. We recast the integrals as the Fourier transform of a certain polytope in the space of loop momenta (a.k.a. the “Operatope”). We derive a set of quadratic recursion relations which appear to fully determine the final answer. Our strategy can be applied to a very general class of twisted supersymmetric quantum field theories.
Topics & Concepts
Holomorphic functionFeynman diagramPhysicsRecursion (computer science)Class (philosophy)Pure mathematicsMathematical physicsFeynman integralQuadratic equationQuantum field theoryTheoretical physicsPolytopeSpace (punctuation)MathematicsDiscrete mathematicsGeometryAlgorithmComputer scienceArtificial intelligenceLinguisticsPhilosophyBlack Holes and Theoretical PhysicsAdvanced Topics in AlgebraNoncommutative and Quantum Gravity Theories