Holography from lattice N $$ \mathcal{N} $$ = 4 super Yang-Mills
Abstract In this paper we use lattice simulation to study four dimensional N $$ \mathcal{N} $$ = 4 super Yang-Mills (SYM) theory. We have focused on the three color theory on lattices of size 124 and for ’t Hooft couplings up to λ = 40.0. Our lattice action is based on a discretization of the Marcus...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-08-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP08(2023)084 |
| _version_ | 1797647475722420224 |
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| author | Simon Catterall Joel Giedt Goksu Can Toga |
| author_facet | Simon Catterall Joel Giedt Goksu Can Toga |
| author_sort | Simon Catterall |
| collection | DOAJ |
| description | Abstract In this paper we use lattice simulation to study four dimensional N $$ \mathcal{N} $$ = 4 super Yang-Mills (SYM) theory. We have focused on the three color theory on lattices of size 124 and for ’t Hooft couplings up to λ = 40.0. Our lattice action is based on a discretization of the Marcus or GL twist of N $$ \mathcal{N} $$ = 4 SYM and retains one exact supersymmetry for non-zero lattice spacing. We show that lattice theory exists in a single non-Abelian Coulomb phase for all ’t Hooft couplings. Furthermore the static potential we obtain from correlators of Polyakov lines is in good agreement with that obtained from holography — specifically the potential has a Coulombic form with a coefficent that varies as the square root of the ’t Hooft coupling. |
| first_indexed | 2024-03-11T15:16:44Z |
| format | Article |
| id | doaj.art-5a01ed03e42b42d8821aa768f37c523d |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-11T15:16:44Z |
| publishDate | 2023-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-5a01ed03e42b42d8821aa768f37c523d2023-10-29T12:10:37ZengSpringerOpenJournal of High Energy Physics1029-84792023-08-012023811310.1007/JHEP08(2023)084Holography from lattice N $$ \mathcal{N} $$ = 4 super Yang-MillsSimon Catterall0Joel Giedt1Goksu Can Toga2Department of Physics, Syracuse UniversityDepartment of Physics and Astronomy, RPIDepartment of Physics, Syracuse UniversityAbstract In this paper we use lattice simulation to study four dimensional N $$ \mathcal{N} $$ = 4 super Yang-Mills (SYM) theory. We have focused on the three color theory on lattices of size 124 and for ’t Hooft couplings up to λ = 40.0. Our lattice action is based on a discretization of the Marcus or GL twist of N $$ \mathcal{N} $$ = 4 SYM and retains one exact supersymmetry for non-zero lattice spacing. We show that lattice theory exists in a single non-Abelian Coulomb phase for all ’t Hooft couplings. Furthermore the static potential we obtain from correlators of Polyakov lines is in good agreement with that obtained from holography — specifically the potential has a Coulombic form with a coefficent that varies as the square root of the ’t Hooft coupling.https://doi.org/10.1007/JHEP08(2023)084Lattice Quantum Field TheorySupersymmetric Gauge TheoryWilson’t Hooft and Polyakov loopsAlgorithms and Theoretical Developments |
| spellingShingle | Simon Catterall Joel Giedt Goksu Can Toga Holography from lattice N $$ \mathcal{N} $$ = 4 super Yang-Mills Journal of High Energy Physics Lattice Quantum Field Theory Supersymmetric Gauge Theory Wilson ’t Hooft and Polyakov loops Algorithms and Theoretical Developments |
| title | Holography from lattice N $$ \mathcal{N} $$ = 4 super Yang-Mills |
| title_full | Holography from lattice N $$ \mathcal{N} $$ = 4 super Yang-Mills |
| title_fullStr | Holography from lattice N $$ \mathcal{N} $$ = 4 super Yang-Mills |
| title_full_unstemmed | Holography from lattice N $$ \mathcal{N} $$ = 4 super Yang-Mills |
| title_short | Holography from lattice N $$ \mathcal{N} $$ = 4 super Yang-Mills |
| title_sort | holography from lattice n mathcal n 4 super yang mills |
| topic | Lattice Quantum Field Theory Supersymmetric Gauge Theory Wilson ’t Hooft and Polyakov loops Algorithms and Theoretical Developments |
| url | https://doi.org/10.1007/JHEP08(2023)084 |
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