Structure of vertices in massless theories
S. Srednyak
TL;DR
This paper characterizes the singularities in massless theories using Landau polynomials, reveals the decoupling of momentum dependence from coupling and dimension, and derives the general form of the Gauss-Manin connection.
Contribution
It provides a complete characterization of singularities in massless theories and introduces a form of the Gauss-Manin connection that decouples momentum dependence.
Findings
Singularity set characterized by Landau polynomials
Decoupling of momentum dependence from coupling and dimension
Matrices absorbing dependence on coupling and dimension
Abstract
We characterize the singularity set of massless theories by giving a complete set of the Landau polynomials. We find the general form of Gauss-Manin connection. We show that for massless theories the dependence on momenta decouples from the dependence on coupling and dimension. The latter is completely absorbed into a set of matrices that have no dependence on kinematic variables.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Cosmology and Gravitation Theories · Quantum Chromodynamics and Particle Interactions