The Analytic Evolution of Dyson–Schwinger Equations via Homomorphism Densities
Abstract Feynman graphon representations of Feynman diagrams lead us to build a new separable Banach space $\mathcal {S}^{\Phi ,g}_{\approx }$ originated from the collection of all Dyson–Schwinger equations in a given (strongly coupled) gauge field theory Φ with the bare coupling constant g. We stud...
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| Autor*in: |
Shojaei-Fard, Ali [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2021 |
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| Schlagwörter: |
Combinatorial Dyson–Schwinger equations |
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| Anmerkung: |
© The Author(s), under exclusive licence to Springer Nature B.V. 2021 |
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| Übergeordnetes Werk: |
Enthalten in: Mathematical physics, analysis and geometry - Springer Netherlands, 1998, 24(2021), 2 vom: 20. Mai |
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| Übergeordnetes Werk: |
volume:24 ; year:2021 ; number:2 ; day:20 ; month:05 |
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| DOI / URN: |
10.1007/s11040-021-09389-z |
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| 520 | |a Abstract Feynman graphon representations of Feynman diagrams lead us to build a new separable Banach space $\mathcal {S}^{\Phi ,g}_{\approx }$ originated from the collection of all Dyson–Schwinger equations in a given (strongly coupled) gauge field theory Φ with the bare coupling constant g. We study the Gâteaux differential calculus on the space of functionals on $\mathcal {S}^{\Phi ,g}_{\approx }$ in terms of a new class of homomorphism densities. We then show that Taylor series representations of smooth functionals on $\mathcal {S}^{\Phi ,g}_{\approx }$ provide a new analytic description for solutions of combinatorial Dyson–Schwinger equations. | ||
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Shojaei-Fard, Ali |
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Shojaei-Fard, Ali |
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the analytic evolution of dyson–schwinger equations via homomorphism densities |
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The Analytic Evolution of Dyson–Schwinger Equations via Homomorphism Densities |
| abstract |
Abstract Feynman graphon representations of Feynman diagrams lead us to build a new separable Banach space $\mathcal {S}^{\Phi ,g}_{\approx }$ originated from the collection of all Dyson–Schwinger equations in a given (strongly coupled) gauge field theory Φ with the bare coupling constant g. We study the Gâteaux differential calculus on the space of functionals on $\mathcal {S}^{\Phi ,g}_{\approx }$ in terms of a new class of homomorphism densities. We then show that Taylor series representations of smooth functionals on $\mathcal {S}^{\Phi ,g}_{\approx }$ provide a new analytic description for solutions of combinatorial Dyson–Schwinger equations. © The Author(s), under exclusive licence to Springer Nature B.V. 2021 |
| abstractGer |
Abstract Feynman graphon representations of Feynman diagrams lead us to build a new separable Banach space $\mathcal {S}^{\Phi ,g}_{\approx }$ originated from the collection of all Dyson–Schwinger equations in a given (strongly coupled) gauge field theory Φ with the bare coupling constant g. We study the Gâteaux differential calculus on the space of functionals on $\mathcal {S}^{\Phi ,g}_{\approx }$ in terms of a new class of homomorphism densities. We then show that Taylor series representations of smooth functionals on $\mathcal {S}^{\Phi ,g}_{\approx }$ provide a new analytic description for solutions of combinatorial Dyson–Schwinger equations. © The Author(s), under exclusive licence to Springer Nature B.V. 2021 |
| abstract_unstemmed |
Abstract Feynman graphon representations of Feynman diagrams lead us to build a new separable Banach space $\mathcal {S}^{\Phi ,g}_{\approx }$ originated from the collection of all Dyson–Schwinger equations in a given (strongly coupled) gauge field theory Φ with the bare coupling constant g. We study the Gâteaux differential calculus on the space of functionals on $\mathcal {S}^{\Phi ,g}_{\approx }$ in terms of a new class of homomorphism densities. We then show that Taylor series representations of smooth functionals on $\mathcal {S}^{\Phi ,g}_{\approx }$ provide a new analytic description for solutions of combinatorial Dyson–Schwinger equations. © The Author(s), under exclusive licence to Springer Nature B.V. 2021 |
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The Analytic Evolution of Dyson–Schwinger Equations via Homomorphism Densities |
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