Analysis of Ward identities in supersymmetric Yang–Mills theory
Abstract 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 presen...
| Main Authors: | , , , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2018-05-01
|
| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | http://link.springer.com/article/10.1140/epjc/s10052-018-5887-9 |
| _version_ | 1811296644815126528 |
|---|---|
| author | Sajid Ali Georg Bergner Henning Gerber Istvan Montvay Gernot Münster Stefano Piemonte Philipp Scior |
| author_facet | Sajid Ali Georg Bergner Henning Gerber Istvan Montvay Gernot Münster Stefano Piemonte Philipp Scior |
| author_sort | Sajid Ali |
| collection | DOAJ |
| description | Abstract 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 $$\mathcal {N}=1$$ N=1 supersymmetric Yang–Mills theory with gauge group SU(3). The results indicate that lattice artefacts scale to zero as $$O(a^2)$$ O(a2) towards the continuum limit in agreement with theoretical expectations. |
| first_indexed | 2024-04-13T05:51:40Z |
| format | Article |
| id | doaj.art-bc031e04d7d9457c88f5093bab3510df |
| institution | Directory Open Access Journal |
| issn | 1434-6044 1434-6052 |
| language | English |
| last_indexed | 2024-04-13T05:51:40Z |
| publishDate | 2018-05-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-bc031e04d7d9457c88f5093bab3510df2022-12-22T02:59:45ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522018-05-017851610.1140/epjc/s10052-018-5887-9Analysis of Ward identities in supersymmetric Yang–Mills theorySajid Ali0Georg Bergner1Henning Gerber2Istvan Montvay3Gernot Münster4Stefano Piemonte5Philipp Scior6Institute for Theoretical Physics, University of MünsterInstitute for Theoretical Physics, University of MünsterInstitute for Theoretical Physics, University of MünsterDeutsches Elektronen-Synchrotron DESYInstitute for Theoretical Physics, University of MünsterInstitute for Theoretical Physics, University of RegensburgInstitute for Theoretical Physics, University of MünsterAbstract 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 $$\mathcal {N}=1$$ N=1 supersymmetric Yang–Mills theory with gauge group SU(3). The results indicate that lattice artefacts scale to zero as $$O(a^2)$$ O(a2) towards the continuum limit in agreement with theoretical expectations.http://link.springer.com/article/10.1140/epjc/s10052-018-5887-9 |
| spellingShingle | Sajid Ali Georg Bergner Henning Gerber Istvan Montvay Gernot Münster Stefano Piemonte Philipp Scior Analysis of Ward identities in supersymmetric Yang–Mills theory European Physical Journal C: Particles and Fields |
| title | Analysis of Ward identities in supersymmetric Yang–Mills theory |
| title_full | Analysis of Ward identities in supersymmetric Yang–Mills theory |
| title_fullStr | Analysis of Ward identities in supersymmetric Yang–Mills theory |
| title_full_unstemmed | Analysis of Ward identities in supersymmetric Yang–Mills theory |
| title_short | Analysis of Ward identities in supersymmetric Yang–Mills theory |
| title_sort | analysis of ward identities in supersymmetric yang mills theory |
| url | http://link.springer.com/article/10.1140/epjc/s10052-018-5887-9 |
| work_keys_str_mv | AT sajidali analysisofwardidentitiesinsupersymmetricyangmillstheory AT georgbergner analysisofwardidentitiesinsupersymmetricyangmillstheory AT henninggerber analysisofwardidentitiesinsupersymmetricyangmillstheory AT istvanmontvay analysisofwardidentitiesinsupersymmetricyangmillstheory AT gernotmunster analysisofwardidentitiesinsupersymmetricyangmillstheory AT stefanopiemonte analysisofwardidentitiesinsupersymmetricyangmillstheory AT philippscior analysisofwardidentitiesinsupersymmetricyangmillstheory |