Critical behavior of the 2d scalar theory: resumming the N8LO perturbative mass gap
Abstract We apply the optimized perturbation theory (OPT) to resum the perturbative series describing the mass gap of the bidimensional ϕ 4 theory in the ℤ2 symmetric phase. Already at NLO (one loop) the method is capable of generating a quite reasonable non-perturbative result for the critical coup...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-07-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP07(2021)163 |
| _version_ | 1818657989645565952 |
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| author | Gustavo O. Heymans Marcus Benghi Pinto |
| author_facet | Gustavo O. Heymans Marcus Benghi Pinto |
| author_sort | Gustavo O. Heymans |
| collection | DOAJ |
| description | Abstract We apply the optimized perturbation theory (OPT) to resum the perturbative series describing the mass gap of the bidimensional ϕ 4 theory in the ℤ2 symmetric phase. Already at NLO (one loop) the method is capable of generating a quite reasonable non-perturbative result for the critical coupling. At order-g 7 we obtain g c = 2.779(25) which compares very well with the state of the art N8LO result, g c = 2.807(34). As a novelty we investigate the supercritical region showing that it contains some useful complimentary information that can be used in extrapolations to arbitrarily high orders. |
| first_indexed | 2024-12-17T03:50:15Z |
| format | Article |
| id | doaj.art-803365db8751478c948191bd8cdf44b9 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-17T03:50:15Z |
| publishDate | 2021-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-803365db8751478c948191bd8cdf44b92022-12-21T22:04:46ZengSpringerOpenJournal of High Energy Physics1029-84792021-07-012021711610.1007/JHEP07(2021)163Critical behavior of the 2d scalar theory: resumming the N8LO perturbative mass gapGustavo O. Heymans0Marcus Benghi Pinto1Departamento de Física, Universidade Federal de Santa CatarinaDepartamento de Física, Universidade Federal de Santa CatarinaAbstract We apply the optimized perturbation theory (OPT) to resum the perturbative series describing the mass gap of the bidimensional ϕ 4 theory in the ℤ2 symmetric phase. Already at NLO (one loop) the method is capable of generating a quite reasonable non-perturbative result for the critical coupling. At order-g 7 we obtain g c = 2.779(25) which compares very well with the state of the art N8LO result, g c = 2.807(34). As a novelty we investigate the supercritical region showing that it contains some useful complimentary information that can be used in extrapolations to arbitrarily high orders.https://doi.org/10.1007/JHEP07(2021)163Discrete SymmetriesNonperturbative Effects |
| spellingShingle | Gustavo O. Heymans Marcus Benghi Pinto Critical behavior of the 2d scalar theory: resumming the N8LO perturbative mass gap Journal of High Energy Physics Discrete Symmetries Nonperturbative Effects |
| title | Critical behavior of the 2d scalar theory: resumming the N8LO perturbative mass gap |
| title_full | Critical behavior of the 2d scalar theory: resumming the N8LO perturbative mass gap |
| title_fullStr | Critical behavior of the 2d scalar theory: resumming the N8LO perturbative mass gap |
| title_full_unstemmed | Critical behavior of the 2d scalar theory: resumming the N8LO perturbative mass gap |
| title_short | Critical behavior of the 2d scalar theory: resumming the N8LO perturbative mass gap |
| title_sort | critical behavior of the 2d scalar theory resumming the n8lo perturbative mass gap |
| topic | Discrete Symmetries Nonperturbative Effects |
| url | https://doi.org/10.1007/JHEP07(2021)163 |
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