Large N phase transition in T T ¯ $$ T\overline{T} $$ -deformed 2d Yang-Mills theory on the sphere
Abstract We study the partition function of a T T ¯ $$ T\overline{T} $$ -deformed version of Yang-Mills theory on the two-sphere. We show that the Douglas-Kazakov phase transition persists for a range of values of the deformation parameter, and that the critical area is lowered. The transition is of...
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Format: | Article |
Language: | English |
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SpringerOpen
2019-01-01
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Series: | Journal of High Energy Physics |
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Online Access: | http://link.springer.com/article/10.1007/JHEP01(2019)054 |
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author | Leonardo Santilli Miguel Tierz |
author_facet | Leonardo Santilli Miguel Tierz |
author_sort | Leonardo Santilli |
collection | DOAJ |
description | Abstract We study the partition function of a T T ¯ $$ T\overline{T} $$ -deformed version of Yang-Mills theory on the two-sphere. We show that the Douglas-Kazakov phase transition persists for a range of values of the deformation parameter, and that the critical area is lowered. The transition is of third order and also induced by instantons, whose contributions we characterize. |
first_indexed | 2024-12-20T11:35:46Z |
format | Article |
id | doaj.art-6c4e0b66f56f4ca983c995fd1087e05a |
institution | Directory Open Access Journal |
issn | 1029-8479 |
language | English |
last_indexed | 2024-12-20T11:35:46Z |
publishDate | 2019-01-01 |
publisher | SpringerOpen |
record_format | Article |
series | Journal of High Energy Physics |
spelling | doaj.art-6c4e0b66f56f4ca983c995fd1087e05a2022-12-21T19:42:07ZengSpringerOpenJournal of High Energy Physics1029-84792019-01-012019112510.1007/JHEP01(2019)054Large N phase transition in T T ¯ $$ T\overline{T} $$ -deformed 2d Yang-Mills theory on the sphereLeonardo Santilli0Miguel Tierz1Departamento de Matemática, Grupo de Física Matemática, Faculdade de Ciências, Universidade de LisboaDepartamento de Matemática, Grupo de Física Matemática, Faculdade de Ciências, Universidade de LisboaAbstract We study the partition function of a T T ¯ $$ T\overline{T} $$ -deformed version of Yang-Mills theory on the two-sphere. We show that the Douglas-Kazakov phase transition persists for a range of values of the deformation parameter, and that the critical area is lowered. The transition is of third order and also induced by instantons, whose contributions we characterize.http://link.springer.com/article/10.1007/JHEP01(2019)054Field Theories in Lower DimensionsMatrix ModelsNonperturbative Effects |
spellingShingle | Leonardo Santilli Miguel Tierz Large N phase transition in T T ¯ $$ T\overline{T} $$ -deformed 2d Yang-Mills theory on the sphere Journal of High Energy Physics Field Theories in Lower Dimensions Matrix Models Nonperturbative Effects |
title | Large N phase transition in T T ¯ $$ T\overline{T} $$ -deformed 2d Yang-Mills theory on the sphere |
title_full | Large N phase transition in T T ¯ $$ T\overline{T} $$ -deformed 2d Yang-Mills theory on the sphere |
title_fullStr | Large N phase transition in T T ¯ $$ T\overline{T} $$ -deformed 2d Yang-Mills theory on the sphere |
title_full_unstemmed | Large N phase transition in T T ¯ $$ T\overline{T} $$ -deformed 2d Yang-Mills theory on the sphere |
title_short | Large N phase transition in T T ¯ $$ T\overline{T} $$ -deformed 2d Yang-Mills theory on the sphere |
title_sort | large n phase transition in t t ¯ t overline t deformed 2d yang mills theory on the sphere |
topic | Field Theories in Lower Dimensions Matrix Models Nonperturbative Effects |
url | http://link.springer.com/article/10.1007/JHEP01(2019)054 |
work_keys_str_mv | AT leonardosantilli largenphasetransitionintttoverlinetdeformed2dyangmillstheoryonthesphere AT migueltierz largenphasetransitionintttoverlinetdeformed2dyangmillstheoryonthesphere |