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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Main Authors: Leonardo Santilli, Miguel Tierz
Format: Article
Language:English
Published: SpringerOpen 2019-01-01
Series:Journal of High Energy Physics
Subjects:
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.
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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
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