Integrability in 2D fields theory/sigma-models

Autor: Lukyanov, Sergei L., author, Zamolodchikov, Alexander B., author

Publikováno v: Integrability: From Statistical Systems to Gauge Theory : Lecture Notes of the Les Houches Summer School: Volume 106, June 2016, 2019, ill.

Externí odkaz: https://doi.org/10.1093/oso/9780198828150.003.0006

Logarithmic corrections to $\mathbf{a^2}$ scaling in lattice Yang Mills theory

Autor: Husung, Nikolai, Marquard, Peter, Sommer, Rainer

Publikováno v: PoS(LATTICE 2019)188 (2019). doi:10.3204/PUBDB-2020-00037
37th International Symposium on Lattice Field Theory, Wuhan, China, 2019-06-16-2019-06-22

We analyse the leading logarithmic corrections to the $a^2$ scaling of lattice artefacts in QCD, following the seminal work of Balog, Niedermayer and Weisz in the O(n) non-linear sigma model. Restricting our attention to contributions from the action

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a5fe954b1c48981895d5ffc4f6dd8620
http://arxiv.org/abs/1912.02058

Finite size spectrum of SU(N) principal chiral field from discrete Hirota dynamics

Autor: Vladimir Kazakov, Sebastien Leurent

Publikováno v: Nuclear Physics B
Nuclear Physics B, Elsevier, 2016, 902, pp.354-386. ⟨10.1016/j.nuclphysb.2015.11.012⟩
Nuclear Physics B, Elsevier, 2016, 902, pp.354-386. 〈http://www.sciencedirect.com/science/article/pii/S0550321315003879〉. 〈10.1016/j.nuclphysb.2015.11.012〉
Nuclear Physics B, 2016, 902, pp.354-386. ⟨10.1016/j.nuclphysb.2015.11.012⟩
Nuclear Physics B, Vol 902, Iss C, Pp 354-386 (2016)

Using recently proposed method of discrete Hirota dynamics for integrable (1+1)D quantum field theories on a finite space circle of length L, we derive and test numerically a finite system of nonlinear integral equations for the exact spectrum of ene

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dd9b619ac801ef77c15bb24a31911f3e
https://hal-univ-bourgogne.archives-ouvertes.fr/hal-01412806

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