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

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Authors

  • Ali Shojaei-Fard
     Independent Scholar ,IR

DOI:

https://doi.org/10.18311/jims/2017/5839

Keywords:

Hopf Algebraic Renormalization, Dyson-Schwinger Equations, Dubois-Violette Noncommutative Differential Forms, Non-perturbative Renormalization Group.
Quantum Field Theory and Noncommutative Differential Geometry

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.

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Author Biography

Ali Shojaei-Fard, Independent Scholar

Independent Scholar, Former Post-Doctoral Researcher at the Institute of Mathematics in University of Potsdam in Germany.

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Published

2017-01-02

How to Cite

Shojaei-Fard, A. (2017). Application of Deformed Lie Algebras to Non-Perturbative Quantum Field Theory. The Journal of the Indian Mathematical Society, 84(1-2), 109–129. https://doi.org/10.18311/jims/2017/5839

Issue

Volume 84, Issue 1-2, January-June 2017

Section

Articles

License

Copyright (c) 2017 Ali Shojaei-Fard

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

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Europe PMC
Received 2016-06-09
Accepted 2016-06-14
Published 2017-01-02

 

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