Renormalization in Combinatorially Non-Local Field Theories: The Hopf Algebra of 2-Graphs

Renormalization in perturbative quantum field theory is based on a Hopf algebra of Feynman diagrams. A precondition for this is locality. Therefore one might suspect that non-local field theories such as matrix or tensor field theories cannot benefit from a similar algebraic understanding. Here I sh...

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Vydáno v:	Mathematical physics, analysis, and geometry Ročník 24; číslo 2
Hlavní autor:	Thürigen, Johannes
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Dordrecht Springer Netherlands 01.06.2021 Springer Nature B.V
Témata:	Algebra Analysis Apexes Applications of Mathematics Feynman diagrams Field theory Geometry Group Theory and Generalizations Mathematical and Computational Physics Matrix algebra Physics Physics and Astronomy Quantum field theory Quantum gravity Quantum theory Tensors Theoretical 16T30 05C10 81T15 Non-local field theory MSC2020: 81T18 81T32 Random geometry 16T05 Renormalization Hopf algebra 81V17
ISSN:	1385-0172, 1572-9656
On-line přístup:	Získat plný text
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