Publicado
Renormalisation via locality morphisms
DOI:
https://doi.org/10.15446/recolma.v53nsupl.84010Palabras clave:
locality, renormalisation, partial algebra, operated algebra, Hopf algebra, Rota-Baxter algebra, symbols (en)localidad, renormalización, álgebra parcial, álgebra operada, álgebra de Hopf, álgebra de Rota-Baxter, símbolos (es)
Descargas
Referencias
P. Clavier, L. Guo, S. Paycha, and B. Zhang, Locality and renormalisation: universal properties and integrals on trees, arXiv:1811.01215.
P. Clavier, L. Guo, S. Paycha, and B. Zhang, Renormalisation and locality: branched zeta values, arXiv:1807.07630.
P. Clavier, L. Guo, S. Paycha, and B. Zhang, An algebraic formulation of the locality principle in renormalisation, European Journal of Math. (2018), https://doi.org/10.1007/s40879-018-0255-8,arXiv:1711.00884.
A. Connes and D. Kreimer, Hopf algebras, renormalisation and noncommutative geometry, Comm. Math. Phys. 199 (1998), 203-242.
L. Guo, S. Paycha, and B. Zhang, A conical approach to laurent expansions for multivariate meromorphic germs with linear poles, arXiv:1501.00426v2 (2017).
L. Guo, S. Paycha, and B. Zhang, Renormalisation and the euler-maclaurin formula on cones, Duke Math J. 166 (2017), 537-571.
R. Haag and D. Kastler, An algebraic approach to quantum field theory, J. Math. Phys. 5 (1964), no. 7, 848-861.
G. Hardy, Divergent series, Oxford University Press, 1967.
D. Kreimer, Chen's iterated integral represents the operator product expansion, Adv. Theor. Math. Phys. 3 (1999), 627-670.
D. Li-Bland and A. Weinstein, Selective categories and linear canonical relations, SIGMA 10 (2014), no. 100, 31.
D. Manchon, Arborified multiple zeta values, Proceedings of New approaches to Multiple Zeta Values", ICMAT, Madrid (2013), ArXiv: 1603.01498.
K. Rejzner, Locality and causality in perturbative AQFT, Preprint, https://arxiv.org/abs/1906.02326.
R. H. Schelp, A partial semigroup approach to partially ordered sets, Proc. London Math. Soc. 24 (1972), 46-58.
S. Zheng, Several locality semigroups, path semigroups and partial semigroups, arXiv:1808.10814.
Cómo citar
APA
ACM
ACS
ABNT
Chicago
Harvard
IEEE
MLA
Turabian
Vancouver
Descargar cita
CrossRef Cited-by
1. Pierre Clavier, Li Guo, Sylvie Paycha, Bin Zhang. (2020). Locality and renormalization: Universal properties and integrals on trees. Journal of Mathematical Physics, 61(2) https://doi.org/10.1063/1.5116381.
2. Li Guo, Sylvie Paycha, Bin Zhang. (2023). Mathematical Reflections on Locality. Jahresbericht der Deutschen Mathematiker-Vereinigung, 125(4), p.197. https://doi.org/10.1365/s13291-023-00268-w.
3. Kasia Rejzner. (2019). Locality and causality in perturbative algebraic quantum field theory. Journal of Mathematical Physics, 60(12) https://doi.org/10.1063/1.5111967.
Dimensions
PlumX
Visitas a la página del resumen del artículo
Descargas
Licencia
Derechos de autor 2019 Revista Colombiana de Matemáticas
![Creative Commons License](http://i.creativecommons.org/l/by/4.0/88x31.png)
Esta obra está bajo una licencia internacional Creative Commons Atribución 4.0.