Phase diagram of $q$-deformed Yang-Mills theory on $S^2$ at non-zero $\theta$-angle

Abstract

We study the phase diagram of $q$-deformed Yang-Mills theory on $S^2$ at non-zero $\theta$-angle using the exact partition function at finite $N$. By evaluating the exact partition function numerically, we find evidence for the existence of a series of phase transitions at non-zero $\theta$-angle as conjectured in [hep-th/0509004].

24 pages; v2: version to appear in JHEP

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• Nonperturbative effects and nonperturbative definitions in matrix models and topological strings
• Quantum Entanglement of Baby Universes
• Wilson loops in unitary matrix models at finite $N$
• Transmutation of a Trans-series: The Gross-Witten-Wadia Phase Transition

Cited by in corpus (2)

• Eigenvalue instantons in the spectral form factor of random matrix model
• $T\bar{T}$-deformed 2D Yang-Mills at large N: collective field theory and phase transitions