Graphical functions in parametric space
Graphical functions are positive functions on the punctured complex plane $\mathbb{C}\setminus\{0,1\}$ which arise in quantum field theory. We generalize a parametric integral representation for graphical functions due to Lam, Lebrun and Nakanishi, which implies the real analyticity of graphical fun...
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| Format: | Journal article |
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Springer Verlag
2016
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| _version_ | 1797066356405829632 |
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| author | Golz, M Panzer, E Schnetz, O |
| author_facet | Golz, M Panzer, E Schnetz, O |
| author_sort | Golz, M |
| collection | OXFORD |
| description | Graphical functions are positive functions on the punctured complex plane $\mathbb{C}\setminus\{0,1\}$ which arise in quantum field theory. We generalize a parametric integral representation for graphical functions due to Lam, Lebrun and Nakanishi, which implies the real analyticity of graphical functions. Moreover we prove a formula that relates graphical functions of planar dual graphs. |
| first_indexed | 2024-03-06T21:40:52Z |
| format | Journal article |
| id | oxford-uuid:47e01201-1c8a-4235-b90c-3ea31a266222 |
| institution | University of Oxford |
| last_indexed | 2024-03-06T21:40:52Z |
| publishDate | 2016 |
| publisher | Springer Verlag |
| record_format | dspace |
| spelling | oxford-uuid:47e01201-1c8a-4235-b90c-3ea31a2662222022-03-26T15:22:29ZGraphical functions in parametric spaceJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:47e01201-1c8a-4235-b90c-3ea31a266222Symplectic Elements at OxfordSpringer Verlag2016Golz, MPanzer, ESchnetz, OGraphical functions are positive functions on the punctured complex plane $\mathbb{C}\setminus\{0,1\}$ which arise in quantum field theory. We generalize a parametric integral representation for graphical functions due to Lam, Lebrun and Nakanishi, which implies the real analyticity of graphical functions. Moreover we prove a formula that relates graphical functions of planar dual graphs. |
| spellingShingle | Golz, M Panzer, E Schnetz, O Graphical functions in parametric space |
| title | Graphical functions in parametric space |
| title_full | Graphical functions in parametric space |
| title_fullStr | Graphical functions in parametric space |
| title_full_unstemmed | Graphical functions in parametric space |
| title_short | Graphical functions in parametric space |
| title_sort | graphical functions in parametric space |
| work_keys_str_mv | AT golzm graphicalfunctionsinparametricspace AT panzere graphicalfunctionsinparametricspace AT schnetzo graphicalfunctionsinparametricspace |