Zobrazeno 1 - 10
of 1 080
pro vyhledávání: '"A. Schnetz"'
Autor:
Schnetz, Oliver, Theil, Simon
In these notes we generalize the theory of graphical functions from scalar theories to theories with spin.
Comment: 11 pages, 1 figure
Comment: 11 pages, 1 figure
Externí odkaz:
http://arxiv.org/abs/2407.17133
Autor:
Brown, Francis, Schnetz, Oliver
We compute the canonical integrals associated to wheel graphs, and prove that they are proportional to odd zeta values. From this we deduce that wheel classes define explicit non-zero classes in: the locally finite homology of the general linear grou
Externí odkaz:
http://arxiv.org/abs/2402.06757
Autor:
Schnetz, Oliver
We give a detailed account of the theory of position space renormalization using graphical functions in the case of dimensionally regularized $\phi^4$ theory in four dimensions. In this theory we calculate the beta function, the mass gamma function,
Externí odkaz:
http://arxiv.org/abs/2212.03663
Autor:
Borinsky, Michael, Schnetz, Oliver
Publikováno v:
J. High Energ. Phys. 2022, 291 (2022)
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 four-point
Externí odkaz:
http://arxiv.org/abs/2206.10460
Autor:
Schnetz, Matthias, Ewald, Larissa, Jakobi, Tim, Klug, Alexander, Hoffmann, Reinhard, Gramlich, Yves
Publikováno v:
In The Journal of Arthroplasty January 2025 40(1):218-226
Autor:
Magdalena Kremer, Sabrina Schulze, Nadja Eisenbruch, Felix Nagel, Robert Vogt, Leona Berndt, Babett Dörre, Gottfried J. Palm, Jens Hoppen, Britta Girbardt, Dirk Albrecht, Susanne Sievers, Mihaela Delcea, Ulrich Baumann, Karin Schnetz, Michael Lammers
Publikováno v:
Nature Communications, Vol 15, Iss 1, Pp 1-25 (2024)
Abstract The Escherichia coli TetR-related transcriptional regulator RutR is involved in the coordination of pyrimidine and purine metabolism. Here we report that lysine acetylation modulates RutR function. Applying the genetic code expansion concept
Externí odkaz:
https://doaj.org/article/23d1a0b42fe14e67aa42c7c445204f48
Autor:
Schnetz, Oliver
Single-valued hyperlogarithms are generalized to include primitives of differential forms $\mathrm{d} z/(az\overline{z}+bz+c\overline{z}+d)$, $a,b,c,d\in\mathbb{C}$, where $\overline{z}$ is the complex conjugate of the variable $z\in\mathbb{C}$. The
Externí odkaz:
http://arxiv.org/abs/2111.11246
Autor:
Borinsky, Michael, Schnetz, Oliver
Publikováno v:
Commun. Number Theory Phys. 16 (2022) 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:
http://arxiv.org/abs/2105.05015
Publikováno v:
Phys. Rev. D 103, 116024 (2021)
We apply the method of graphical functions that was recently extended to six dimensions for scalar theories, to $\phi^3$ theory and compute the $\beta$ function, the wave function anomalous dimension as well as the mass anomalous dimension in the $\o
Externí odkaz:
http://arxiv.org/abs/2103.16224
Autor:
Schnetz, Oliver, Yeats, Karen
Publikováno v:
SIGMA 17 (2021), 100, 26 pages
We introduce families of four-regular graphs consisting of chains of hourglasses which are attached to a finite kernel. We prove a formula for the $c_2$ invariant of these hourglass chains which only depends on the kernel. For different kernels these
Externí odkaz:
http://arxiv.org/abs/2102.12383