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  Dual graph polynomials and a 4-face formula

Doryn, D. (2018). Dual graph polynomials and a 4-face formula. Advances in Theoretical and Mathematical Physics, 22(2), 395-427. doi:10.4310/ATMP.2018.v22.n2.a3.

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Item Permalink: https://hdl.handle.net/21.11116/0000-0003-AA8D-F Version Permalink: https://hdl.handle.net/21.11116/0000-0004-72D1-F
Genre: Journal Article

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arXiv:1508.03484.pdf (Preprint), 294KB
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 Creators:
Doryn, Dmitry1, Author           
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1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Free keywords: Mathematics, Algebraic Geometry
 Abstract: We study the dual graph polynomials and the case when a Feynman graph has no
triangles but has a 4-face. This leads to the proof of the duality-admissibility of all graphs up to 18 loops. As a consequence, the $c_2$ invariant is the same for all 4 Feynman period representations (position,
momentum, parametric and dual parametric) for any physically relevant graph.

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Language(s): eng - English
 Dates: 2018
 Publication Status: Issued
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 Rev. Type: Peer
 Identifiers: arXiv: 1508.03484
URI: http://arxiv.org/abs/1508.03484
DOI: 10.4310/ATMP.2018.v22.n2.a3
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Title: Advances in Theoretical and Mathematical Physics
  Abbreviation : Adv. Theor. Math. Phys.
Source Genre: Journal
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Pages: - Volume / Issue: 22 (2) Sequence Number: - Start / End Page: 395 - 427 Identifier: -