T T ¯ $$ T\overline{T} $$ -deformed 2D Yang-Mills at large N: collective field theory and phase transitions
Abstract We consider the T T ¯ $$ T\overline{T} $$ deformation of 2d large N YM theory on a cylinder, sphere and disk. The collective field theory Hamiltonian for the deformed theory is derived and the particular solutions to the equations of motion of the collective theory are found for the sphere....
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2021-03-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP03(2021)142 |
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doaj-9dbe76548b234faa85836cbd4a36b9262021-03-21T12:07:16ZengSpringerOpenJournal of High Energy Physics1029-84792021-03-012021312210.1007/JHEP03(2021)142T T ¯ $$ T\overline{T} $$ -deformed 2D Yang-Mills at large N: collective field theory and phase transitionsA. Gorsky0D. Pavshinkin1A. Tyutyakina2Institute for Information Transmission Problems RASMoscow Institute of Physics and TechnologyMoscow Institute of Physics and TechnologyAbstract We consider the T T ¯ $$ T\overline{T} $$ deformation of 2d large N YM theory on a cylinder, sphere and disk. The collective field theory Hamiltonian for the deformed theory is derived and the particular solutions to the equations of motion of the collective theory are found for the sphere. The account of the non-perturbative branch of the solution amounts to the first-order phase transition at the (A, τ) plane. We analyze the third-order phase transition in the deformed theory on the disk and derive the critical area as a function of the boundary holonomy. A kind of Hagedorn behavior in the spectral density is discussed.https://doi.org/10.1007/JHEP03(2021)142Field Theories in Lower DimensionsNonperturbative EffectsMatrix ModelsWilson’t Hooft and Polyakov loops |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
A. Gorsky D. Pavshinkin A. Tyutyakina |
| spellingShingle |
A. Gorsky D. Pavshinkin A. Tyutyakina T T ¯ $$ T\overline{T} $$ -deformed 2D Yang-Mills at large N: collective field theory and phase transitions Journal of High Energy Physics Field Theories in Lower Dimensions Nonperturbative Effects Matrix Models Wilson ’t Hooft and Polyakov loops |
| author_facet |
A. Gorsky D. Pavshinkin A. Tyutyakina |
| author_sort |
A. Gorsky |
| title |
T T ¯ $$ T\overline{T} $$ -deformed 2D Yang-Mills at large N: collective field theory and phase transitions |
| title_short |
T T ¯ $$ T\overline{T} $$ -deformed 2D Yang-Mills at large N: collective field theory and phase transitions |
| title_full |
T T ¯ $$ T\overline{T} $$ -deformed 2D Yang-Mills at large N: collective field theory and phase transitions |
| title_fullStr |
T T ¯ $$ T\overline{T} $$ -deformed 2D Yang-Mills at large N: collective field theory and phase transitions |
| title_full_unstemmed |
T T ¯ $$ T\overline{T} $$ -deformed 2D Yang-Mills at large N: collective field theory and phase transitions |
| title_sort |
t t ¯ $$ t\overline{t} $$ -deformed 2d yang-mills at large n: collective field theory and phase transitions |
| publisher |
SpringerOpen |
| series |
Journal of High Energy Physics |
| issn |
1029-8479 |
| publishDate |
2021-03-01 |
| description |
Abstract We consider the T T ¯ $$ T\overline{T} $$ deformation of 2d large N YM theory on a cylinder, sphere and disk. The collective field theory Hamiltonian for the deformed theory is derived and the particular solutions to the equations of motion of the collective theory are found for the sphere. The account of the non-perturbative branch of the solution amounts to the first-order phase transition at the (A, τ) plane. We analyze the third-order phase transition in the deformed theory on the disk and derive the critical area as a function of the boundary holonomy. A kind of Hagedorn behavior in the spectral density is discussed. |
| topic |
Field Theories in Lower Dimensions Nonperturbative Effects Matrix Models Wilson ’t Hooft and Polyakov loops |
| url |
https://doi.org/10.1007/JHEP03(2021)142 |
| work_keys_str_mv |
AT agorsky tttoverlinetdeformed2dyangmillsatlargencollectivefieldtheoryandphasetransitions AT dpavshinkin tttoverlinetdeformed2dyangmillsatlargencollectivefieldtheoryandphasetransitions AT atyutyakina tttoverlinetdeformed2dyangmillsatlargencollectivefieldtheoryandphasetransitions |
| _version_ |
1724210910641258496 |