Mathematical renormalization in quantum electrodynamics via noncommutative generating series

Mathematical renormalization in quantum electrodynamics via noncommutative generating series

In this work, we focus on on the approach by noncommutative formal power series to study the combinatorial aspects of the renormalization at the singularities in \(\{0,1,+\infty\}\) of the solutions of nonlinear differential equations involved in quantum electrodynamics.

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Veröffentlicht in:arXiv.org 2017-02
Hauptverfasser: Gérard Henry Edmond Duchamp, Vincel Hoang Ngoc Minh, Ngo, Quoc Hoan, Penson, Karol A, Simonnet, Pierre
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Sprache:eng
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Combinatorial analysis
Nonlinear differential equations
Power series
Quantum electrodynamics
Quantum theory
Superconductors
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creator Gérard Henry Edmond Duchamp
Vincel Hoang Ngoc Minh
Ngo, Quoc Hoan
Penson, Karol A
Simonnet, Pierre
description In this work, we focus on on the approach by noncommutative formal power series to study the combinatorial aspects of the renormalization at the singularities in \(\{0,1,+\infty\}\) of the solutions of nonlinear differential equations involved in quantum electrodynamics.
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subjects Combinatorial analysis
Nonlinear differential equations
Power series
Quantum electrodynamics
Quantum theory
Superconductors
title Mathematical renormalization in quantum electrodynamics via noncommutative generating series
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