Abstract
We study the phase structure of \( \mathcal{N} \) = 1 supersymmetric Yang-Mills theory on ℝ3 × \( \mathbb{S} \) 1, with massive gauginos, periodic around the \( \mathbb{S} \) 1, with Sp(2N) (N ≥ 2), Spin(N) (N ≥ 5), G 2, F 4, E 6, E 7, E 8 gauge groups. As the gaugino mass m is increased, with S1 size and strong coupling scale fixed, we find a first-order phase transition both for theories with and without a center. This semiclassically calculable transition is driven, as in SU(N) and G 2 [1, 2], by a competition between monopole-instantons and exotic topological “molecules” — “neutral” or “magnetic” bions. We compute the trace of the Polyakov loop and its two-point correlator near the transition. We find a behavior similar to the one observed near the thermal deconfinement transition in the corresponding pure Yang-Mills (YM) theory in lattice studies (whenever available). Our results lend further support to the conjectured continuity, as a function of m, between the quantum phase transition studied here and the thermal deconfinement transition in YM theory. We also study the θ-angle dependence of the transition, elaborate on the importance of the quantum-corrected moduli-space metric at large N, and offer comments for the future.
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Anber, M.M., Poppitz, E. & Teeple, B. Deconfinement and continuity between thermal and (super) Yang-Mills theory for all gauge groups. J. High Energ. Phys. 2014, 40 (2014). https://doi.org/10.1007/JHEP09(2014)040
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DOI: https://doi.org/10.1007/JHEP09(2014)040