A GEOMETRIC PERSPECTIVE ON COUNTERTERMS RELATED TO DYSON–SCHWINGER EQUATIONS

Author:

SHOJAEI-FARD ALI1

Affiliation:

1. Institute of Mathematics, University of Potsdam, D-14469 Potsdam, Germany

Abstract

We study Dyson–Schwinger equations (DSEs) in terms of some groups of diffeographisms to provide a new geometric formulation for their corresponding counterterms on the basis of systems of ordinary differential equations.

Publisher

World Scientific Pub Co Pte Lt

Subject

Astronomy and Astrophysics,Nuclear and High Energy Physics,Atomic and Molecular Physics, and Optics

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1. The dynamics of non-perturbative phases via Banach bundles;Nuclear Physics B;2021-08

2. The Complexities of Nonperturbative Computations;Russian Journal of Mathematical Physics;2021-07

3. Non-perturbative β-functions via Feynman graphons;Modern Physics Letters A;2019-05-10

4. A measure theoretic perspective on the space of Feynman diagrams;Boletín de la Sociedad Matemática Mexicana;2017-05-10

5. A new perspective on intermediate algorithms via the Riemann–Hilbert correspondence;Quantum Studies: Mathematics and Foundations;2016-10-14

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