Analysis of Ward identities in supersymmetric Yang-Mills theory
| Autor: | Henning Gerber, Georg Bergner, Philipp Scior, Istvan Montvay, Stefano Piemonte, Sajid Ali, Gernot Münster |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Yang-Mills [gauge field theory]
Wilson [fermion] Physics and Astronomy (miscellaneous) Discretization clover [fermion] High Energy Physics::Lattice FOS: Physical sciences effect [lattice] Improved method lcsh:Astrophysics Ward identity Yang–Mills theory 01 natural sciences Computer Science::Digital Libraries symmetry breaking [supersymmetry] Theoretical physics High Energy Physics::Theory High Energy Physics - Lattice Gauge group Lattice (order) 0103 physical sciences lcsh:QB460-466 1 [supersymmetry] ddc:530 lcsh:Nuclear and particle physics. Atomic energy. Radioactivity continuum limit numerical calculations 010306 general physics Engineering (miscellaneous) lattice Physics 010308 nuclear & particles physics Numerical analysis High Energy Physics::Phenomenology High Energy Physics - Lattice (hep-lat) Observable 530 Physik Supersymmetry breaking SU(3) [group] supersymmetry [Yang-Mills] correlation lcsh:QC770-798 supersymmetry [lattice field theory] |
| Zdroj: | European Physical Journal C: Particles and Fields, Vol 78, Iss 5, Pp 1-6 (2018) European Physical Journal The European physical journal / C 78(5), 404 (2018). doi:10.1140/epjc/s10052-018-5887-9 |
| DOI: | 10.48550/arxiv.1802.07067 |
| Popis: | In numerical investigations of supersymmetric Yang-Mills theory on a lattice, the supersymmetric Ward identities are valuable for finding the critical value of the hopping parameter and for examining the size of supersymmetry breaking by the lattice discretisation. In this article we present an improved method for the numerical analysis of supersymmetric Ward identities, which takes into account the correlations between the various observables involved. We present the first complete analysis of supersymmetric Ward identities in $\mathcal{N}=1$ supersymmetric Yang-Mills theory with gauge group SU(3). The results show that lattice artefacts scale to zero as $O(a^2)$ towards the continuum limit in agreement with theoretical expectations. Comment: 10 pages, 3 figures, revised version as being published |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|