Graph polynomials associated with Dyson-Schwinger equations
Quantum motions are encoded by a particular family of recursive Hochschild equations in the renormalization Hopf algebra which represent Dyson-Schwinger equations, combinatorially. Feynman graphons, which topologically complete the space of Feynman diagrams of a gauge field theory, are considered to...
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| Format: | Article |
| Language: | English |
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University of Kragujevac, Faculty of Technical Sciences Čačak, Serbia
2023-01-01
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| Series: | Mathematica Moravica |
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| Online Access: | https://scindeks-clanci.ceon.rs/data/pdf/1450-5932/2023/1450-59322302091S.pdf |
| _version_ | 1797366949292802048 |
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| author | Shojaei-Fard Ali |
| author_facet | Shojaei-Fard Ali |
| author_sort | Shojaei-Fard Ali |
| collection | DOAJ |
| description | Quantum motions are encoded by a particular family of recursive Hochschild equations in the renormalization Hopf algebra which represent Dyson-Schwinger equations, combinatorially. Feynman graphons, which topologically complete the space of Feynman diagrams of a gauge field theory, are considered to formulate some random graph representations for solutions of quantum motions. This framework leads us to explain the structures of Tutte and Kirchhoff-Symanzik polynomials associated with solutions of Dyson-Schwinger equations. These new graph polynomials are applied to formulate a new parametric representation for large Feynman diagrams and their corresponding Feynman rules. |
| first_indexed | 2024-03-08T17:11:46Z |
| format | Article |
| id | doaj.art-5f7376b3fb2b4bf1a77786784e94d6b0 |
| institution | Directory Open Access Journal |
| issn | 1450-5932 2560-5542 |
| language | English |
| last_indexed | 2024-03-08T17:11:46Z |
| publishDate | 2023-01-01 |
| publisher | University of Kragujevac, Faculty of Technical Sciences Čačak, Serbia |
| record_format | Article |
| series | Mathematica Moravica |
| spelling | doaj.art-5f7376b3fb2b4bf1a77786784e94d6b02024-01-03T21:32:36ZengUniversity of Kragujevac, Faculty of Technical Sciences Čačak, SerbiaMathematica Moravica1450-59322560-55422023-01-012729111410.5937/MatMor2302091S1450-59322302091SGraph polynomials associated with Dyson-Schwinger equationsShojaei-Fard Ali0Tehran, IranQuantum motions are encoded by a particular family of recursive Hochschild equations in the renormalization Hopf algebra which represent Dyson-Schwinger equations, combinatorially. Feynman graphons, which topologically complete the space of Feynman diagrams of a gauge field theory, are considered to formulate some random graph representations for solutions of quantum motions. This framework leads us to explain the structures of Tutte and Kirchhoff-Symanzik polynomials associated with solutions of Dyson-Schwinger equations. These new graph polynomials are applied to formulate a new parametric representation for large Feynman diagrams and their corresponding Feynman rules.https://scindeks-clanci.ceon.rs/data/pdf/1450-5932/2023/1450-59322302091S.pdfcombinatorial dyson-schwinger equationsfeynman graphonsgraph polynomialsparametric representations |
| spellingShingle | Shojaei-Fard Ali Graph polynomials associated with Dyson-Schwinger equations Mathematica Moravica combinatorial dyson-schwinger equations feynman graphons graph polynomials parametric representations |
| title | Graph polynomials associated with Dyson-Schwinger equations |
| title_full | Graph polynomials associated with Dyson-Schwinger equations |
| title_fullStr | Graph polynomials associated with Dyson-Schwinger equations |
| title_full_unstemmed | Graph polynomials associated with Dyson-Schwinger equations |
| title_short | Graph polynomials associated with Dyson-Schwinger equations |
| title_sort | graph polynomials associated with dyson schwinger equations |
| topic | combinatorial dyson-schwinger equations feynman graphons graph polynomials parametric representations |
| url | https://scindeks-clanci.ceon.rs/data/pdf/1450-5932/2023/1450-59322302091S.pdf |
| work_keys_str_mv | AT shojaeifardali graphpolynomialsassociatedwithdysonschwingerequations |