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arXiv · 1610.08527

Quantum phase transition in many-flavor supersymmetric QED$_{3}$

Jorge G. Russo·Miguel Tierz
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Abstract

We study $\mathcal{N}=4$ supersymmetric QED in three dimensions, on a three-sphere, with 2N massive hypermultiplets and a Fayet-Iliopoulos parameter. We identify the exact partition function of the theory with a conical (Mehler) function. This implies a number of analytical formulas, including a recurrence relation and a second-order differential equation, associated with an integrable system. In the large N limit, the theory undergoes a second-order phase transition on a critical line in the parameter space. We discuss the critical behavior and compute the two-point correlation function of a gauge invariant mass operator, which is shown to diverge as one approaches criticality from the subcritical phase. Finally, we comment on the asymptotic 1/N expansion and on mirror symmetry.

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Jorge G. Russo, Miguel Tierz. 2016-10-26. Quantum phase transition in many-flavor supersymmetric QED$_{3}$. https://doi.org/10.1103/physrevd.95.031901

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