Searching for continuous phase transitions in 5D SU(2) lattice gauge theory
Abstract We study the phase diagram of 5-dimensional SU(2) Yang-Mills theory on the lattice. We consider two extensions of the fundamental plaquette Wilson action in the search for the continuous phase transition suggested by the 4 + ϵ expansion. The extensions correspond to new terms in the action:...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-12-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP12(2021)076 |
| _version_ | 1818458863067725824 |
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| author | Adrien Florio João M. Viana P. Lopes José Matos João Penedones |
| author_facet | Adrien Florio João M. Viana P. Lopes José Matos João Penedones |
| author_sort | Adrien Florio |
| collection | DOAJ |
| description | Abstract We study the phase diagram of 5-dimensional SU(2) Yang-Mills theory on the lattice. We consider two extensions of the fundamental plaquette Wilson action in the search for the continuous phase transition suggested by the 4 + ϵ expansion. The extensions correspond to new terms in the action: i) a unit size plaquette in the adjoint representation or ii) a two-unit sided square plaquette in the fundamental representation. We use Monte Carlo to sample the first and second derivative of the entropy near the confinement phase transition, with lattices up to 125. While we exclude the presence of a second order phase transition in the parameter space we sampled for model i), our data is not conclusive in some regions of the parameter space of model ii). |
| first_indexed | 2024-12-14T23:05:13Z |
| format | Article |
| id | doaj.art-7c5db847d1344f5bb421a64850f65e78 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-14T23:05:13Z |
| publishDate | 2021-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-7c5db847d1344f5bb421a64850f65e782022-12-21T22:44:21ZengSpringerOpenJournal of High Energy Physics1029-84792021-12-0120211212510.1007/JHEP12(2021)076Searching for continuous phase transitions in 5D SU(2) lattice gauge theoryAdrien Florio0João M. Viana P. Lopes1José Matos2João Penedones3Center for Nuclear Theory, Department of Physics and Astronomy, Stony Brook UniversityCentro de Física das Universidades do Porto, University of PortoCentro de Física das Universidades do Porto, University of PortoField and String Laboratory, Institute of Physics, École Polytechnique Fédérale de Lausanne (EPFL)Abstract We study the phase diagram of 5-dimensional SU(2) Yang-Mills theory on the lattice. We consider two extensions of the fundamental plaquette Wilson action in the search for the continuous phase transition suggested by the 4 + ϵ expansion. The extensions correspond to new terms in the action: i) a unit size plaquette in the adjoint representation or ii) a two-unit sided square plaquette in the fundamental representation. We use Monte Carlo to sample the first and second derivative of the entropy near the confinement phase transition, with lattices up to 125. While we exclude the presence of a second order phase transition in the parameter space we sampled for model i), our data is not conclusive in some regions of the parameter space of model ii).https://doi.org/10.1007/JHEP12(2021)076Conformal Field TheoryField Theories in Higher DimensionsLattice Quantum Field TheoryRenormalization Group |
| spellingShingle | Adrien Florio João M. Viana P. Lopes José Matos João Penedones Searching for continuous phase transitions in 5D SU(2) lattice gauge theory Journal of High Energy Physics Conformal Field Theory Field Theories in Higher Dimensions Lattice Quantum Field Theory Renormalization Group |
| title | Searching for continuous phase transitions in 5D SU(2) lattice gauge theory |
| title_full | Searching for continuous phase transitions in 5D SU(2) lattice gauge theory |
| title_fullStr | Searching for continuous phase transitions in 5D SU(2) lattice gauge theory |
| title_full_unstemmed | Searching for continuous phase transitions in 5D SU(2) lattice gauge theory |
| title_short | Searching for continuous phase transitions in 5D SU(2) lattice gauge theory |
| title_sort | searching for continuous phase transitions in 5d su 2 lattice gauge theory |
| topic | Conformal Field Theory Field Theories in Higher Dimensions Lattice Quantum Field Theory Renormalization Group |
| url | https://doi.org/10.1007/JHEP12(2021)076 |
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