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Application of Deformed Lie Algebras to Non-Perturbative Quantum Field Theory


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1 Independent Scholar, Mathematician, Tehran, 1461863596, Marzdaran Blvd, Iran, Islamic Republic of
     

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The manuscript implements Connes-Kreimer Hopf algebraic renormalization of Feynman diagrams and Dubois-Violette type noncommutative differential geometry to discover a new class of differential calculi with respect to infinite formal expansions of Feynman diagrams which are generated by Dyson-Schwinger equations.

Keywords

Hopf Algebraic Renormalization, Dyson-Schwinger Equations, Dubois-Violette Noncommutative Differential Forms, Non-Perturbative Renormalization Group.
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  • Application of Deformed Lie Algebras to Non-Perturbative Quantum Field Theory

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Authors

Ali Shojaei-Fard
Independent Scholar, Mathematician, Tehran, 1461863596, Marzdaran Blvd, Iran, Islamic Republic of

Abstract


The manuscript implements Connes-Kreimer Hopf algebraic renormalization of Feynman diagrams and Dubois-Violette type noncommutative differential geometry to discover a new class of differential calculi with respect to infinite formal expansions of Feynman diagrams which are generated by Dyson-Schwinger equations.

Keywords


Hopf Algebraic Renormalization, Dyson-Schwinger Equations, Dubois-Violette Noncommutative Differential Forms, Non-Perturbative Renormalization Group.

References