Singularities of scattering matrix
Albert Schwarz
TL;DR
This paper analyzes the singularities in the integrands of scattering matrix elements within perturbation theory, applicable to any quantum field theory across all dimensions.
Contribution
It provides a general proof of singularity analysis for scattering matrices in any quantum field theory and dimension, advancing theoretical understanding.
Findings
Identifies the nature of singularities in scattering matrix integrands.
Proves the results for all quantum field theories and dimensions.
Enhances the mathematical framework of scattering theory.
Abstract
Our main result is the analysis of singularities of integrands of integrals representing matrix elements of scattering matrix and inclusive scattering matrix in perturbation theory. These results are proven for any quantum field theory in any dimension.
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Taxonomy
TopicsSpectral Theory in Mathematical Physics · Advanced Topics in Algebra · Algebraic structures and combinatorial models