期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 11, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP11(2022)078
关键词
Field Theories in Lower Dimensions; Gauge Symmetry; Matrix Models; Non-perturbative Effects
资金
- Knut and Alice Wallenberg Foundation [KAW 2015.0083]
We study the large-N dynamics of T (T) over bar -deformed two-dimensional Yang-Mills theory at genus zero. The 1/N-expansion of the free energy is obtained by exploiting the associated flow equation and the complete phase diagram of the theory is derived for both signs of the rescaled deformation parameter tau. We observe a third-order phase transition driven by instanton condensation, which is the deformed version of the familiar DouglasKazakov transition separating the weakly-coupled from the strongly-coupled phase. By studying these phases, we compute the deformation of both the perturbative sector and the Gross-Taylor string expansion. Nonperturbative corrections in tau drive the system into an unexplored disordered phase separated by a novel critical line meeting tangentially the Douglas-Kazakov one at a tricritical point. The associated phase transition is induced by the collision of large- N saddle points, determining its second-order character.
We study the large-N dynamics of T (T) over bar -deformed two-dimensional Yang-Mills theory at genus zero. The 1/N-expansion of the free energy is obtained by exploiting the associated flow equation and the complete phase diagram of the theory is derived for both signs of the rescaled deformation parameter tau. We observe a third-order phase transition driven by instanton condensation, which is the deformed version of the familiar DouglasKazakov transition separating the weakly-coupled from the strongly-coupled phase. By studying these phases, we compute the deformation of both the perturbative sector and the Gross-Taylor string expansion. Nonperturbative corrections in tau drive the system into an unexplored disordered phase separated by a novel critical line meeting tangentially the Douglas-Kazakov one at a tricritical point. The associated phase transition is induced by the collision of large- N saddle points, determining its second-order character.
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