The Hopf algebra approach to Feynman diagram calculations

K Ebrahimi-Fard, D Kreimer - Journal of Physics A: Mathematical …, 2005 - iopscience.iop.org
The Hopf algebra approach to Feynman diagram calculations Page 1 Journal of Physics A:
Mathematical and General TOPICAL REVIEW The Hopf algebra approach to Feynman diagram …

Quasirenormalizable quantum field theories

MV Polyakov, KM Semenov-Tian-Shansky… - Theoretical and …, 2019 - Springer
Leading logarithms in massless nonrenormalizable effective field theories can be computed
using nonlinear recurrence relations. These recurrence relations follow from the …

Nonlinear algebra and Bogoliubov's recursion

AY Morozov, MN Serbyn - Theoretical and Mathematical Physics, 2008 - Springer
Nonlinear algebra and Bogoliubov’s recursion Page 1 Theoretical and Mathematical
Physics, 154(2): 270–293 (2008) NONLINEAR ALGEBRA AND BOGOLIUBOV’S RECURSION …

The Hopf graph algebra and renormalization group equations

DV Malyshev - Theoretical and mathematical physics, 2005 - Springer
We study the renormalization group equations implied by the Hopf graph algebra. The
vertex functions are regarded as vectors in the dual space of the Hopf algebra. The …

Non RG logarithms via RG equations

D Malyshev - arxiv preprint hep-th/0402074, 2004 - arxiv.org
We compute complete leading logarithms in $\Phi^ 4$ theory with the help of Connes and
Kreimer RG equations. These equations are defined in the Lie algebra dual to the Hopf …

Hopf algebra of graphs and the RG equations

DV Malyshev - arxiv preprint hep-th/0408230, 2004 - arxiv.org
We study the renormalization group equations following from the Hopf algebra of graphs.
Vertex functions are treated as vectors in dual to the Hopf algebra space. The RG equations …

Алгебра Хопфа графов и ренормгрупповые уравнения

ДВ Малышев - Теоретическая и математическая физика, 2005 - mathnet.ru
Алгебра Хопфа графов и ренормгрупповые уравнения Page 1 â à â ç á ï â â ç á ï ä â ½ ¿
½ ¾¼¼ ¾¼¼ º º º ∗ à å DZä à ä à à àãDZDZ ë ãà ï å º å º à º à ¹ ¹ º ï ¹ º à º å º ½º ½ º ¾ ¹ º º º ¹ º å º …

Квазиперенормируемые квантовые теории поля

МВ Поляков, КМ Семенов-Тян-Шанский… - Теоретическая и …, 2019 - mathnet.ru
Лидирующие логарифмы в безмассовых неперенормируемых эффективных теориях
поля могут быть вычислены с помощью нелинейных рекуррентных соотношений. Эти …