Zobrazeno 1 - 10
of 31
pro vyhledávání: '"Michael Borinsky"'
Publikováno v:
Journal of High Energy Physics, Vol 2023, Iss 1, Pp 1-54 (2023)
Abstract We introduce a new diagrammatic approach to perturbative quantum field theory, which we call flow-oriented perturbation theory (FOPT). Within it, Feynman graphs are replaced by strongly connected directed graphs (digraphs). FOPT is a coordin
Externí odkaz:
https://doaj.org/article/60a662ea69ed4cb9b74bbde83a81c2bf
Autor:
Michael Borinsky, Oliver Schnetz
Publikováno v:
Journal of High Energy Physics, Vol 2022, Iss 8, Pp 1-83 (2022)
Abstract Feynman periods are Feynman integrals that do not depend on external kinematics. Their computation, which is necessary for many applications of quantum field theory, is greatly facilitated by graphical functions or the equivalent conformal f
Externí odkaz:
https://doaj.org/article/7de0644e791d4ff6af453dff79bca09f
Autor:
Michael Borinsky, David Broadhurst
Publikováno v:
Nuclear Physics B, Vol 981, Iss , Pp 115861- (2022)
We perform an all-order resurgence analysis of a quantum field theory renormalon that contributes to an anomalous dimension in six-dimensional scalar ϕ3 theory and is governed by a third-order nonlinear differential equation. We augment the factoria
Externí odkaz:
https://doaj.org/article/7ffd51ee84ed4be7b9ffb58178fda604
Publikováno v:
Journal of High Energy Physics, Vol 2020, Iss 7, Pp 1-36 (2020)
Abstract We give a Hopf-algebraic formulation of the R ∗ -operation, which is a canonical way to render UV and IR divergent Euclidean Feynman diagrams finite. Our analysis uncovers a close connection to Brown’s Hopf algebra of motic graphs. Using
Externí odkaz:
https://doaj.org/article/24da36b39fd5402b98555a1c2b766734
Autor:
Michael Borinsky, Gerald V. Dunne
Publikováno v:
Nuclear Physics B, Vol 957, Iss , Pp 115096- (2020)
For certain quantum field theories, the Kreimer-Connes Hopf-algebraic approach to renormalization reduces the Dyson-Schwinger equations to a system of non-linear ordinary differential equations for the expansion coefficients of the renormalized Green
Externí odkaz:
https://doaj.org/article/baaa89a4e4394f10bd188cbca6665d7f
Autor:
Michael Borinsky, Oliver Schnetz
Publikováno v:
Communications in Number Theory and Physics. 16:515-614
Graphical functions are special position space Feynman integrals, which can be used to calculate Feynman periods and one- or two-scale processes at high loop orders. With graphical functions, renormalization constants have been calculated to loop ord
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ffdeb705f0fe3e66c95521e1f911c3ce
https://doi.org/10.4310/cntp.2022.v16.n3.a3
https://doi.org/10.4310/cntp.2022.v16.n3.a3
Autor:
Michael Borinsky
Publikováno v:
Annales de l’Institut Henri Poincaré D.
We introduce a new method to evaluate algebraic integrals over the simplex numerically. This new approach employs techniques from tropical geometry and exceeds the capabilities of existing numerical methods by an order of magnitude. The method can be
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2ef9653583bfa7987ae9f27c0d9a1da5
https://doi.org/10.4171/aihpd/158
https://doi.org/10.4171/aihpd/158
Autor:
David Broadhurst, Michael Borinsky
Publikováno v:
PoS: Proceedings of Science, 416
Loops and Legs in Quantum Field Theory
Loops and Legs in Quantum Field Theory
Perturbative expansions in quantum field theory diverge for at least two reasons: the number of Feynman diagrams increases dramatically with the loop number and the process of renormalization may make the contribution of some diagrams large. We give
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::865138248c393883eb863ad675bb8ee3
https://doi.org/10.22323/1.416.0013
https://doi.org/10.22323/1.416.0013
Publikováno v:
Journal of High Energy Physics
Journal of High Energy Physics, 2023 (1)
Journal of High Energy Physics, 2023 (1)
We introduce a new diagrammatic approach to perturbative quantum field theory, which we call flow-oriented perturbation theory (FOPT). Within it, Feynman graphs are replaced by strongly connected directed graphs (digraphs). FOPT is a coordinate space
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e23508fe9dcfbb26973c79aaf6dc1f6d
http://arxiv.org/abs/2210.05532
http://arxiv.org/abs/2210.05532
We explore the positive geometry of statistical models in the setting of toric varieties. Our focus lies on models for discrete data that are parameterized in terms of Cox coordinates. We develop a geometric theory for computations in Bayesian statis
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b778dc51bb117f769d12fcb79b2d45cc