Algebras with Operator and Campbell--Hausdorff Formula
O. M. Khudaverdian (Yerevan State University)
TL;DR
This paper introduces new algebra classes with Campbell--Hausdorff formulas and explores their application to quantum field theory graph connectivity.
Contribution
It presents novel algebraic structures and establishes Campbell--Hausdorff formulas within them, linking to quantum field theory graph analysis.
Findings
New algebra classes with Campbell--Hausdorff formulas
Application to Feynman graph connectivity in quantum field theory
Enhanced understanding of algebraic structures in physics
Abstract
We introduce some new classes of algebras and estabilish in these algebras Campbell--Hausdorff like formula. We describe the application of these constructions to the problem of the connectivity of the Feynman graphs corresponding to the Green functions in Quantum Fields Theory.
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