Generalizing deconfined criticality to 3d $N$-flavor $SU(2)$ quantum chromodynamics on the fuzzy sphere
Abstract
The deconfined quantum critical point (DQCP) exemplifies a phase transition beyond the Landau paradigm, yet its true nature remains debated. We investigate a family of $\mathrm{Sp}(N)$-symmetric fermionic candidate models for $\mathrm{SU}(2)$ QCD in three dimensions, which is a possible effective description of the DQCP—using the recently proposed fuzzy sphere regularization. This method offers a powerful lens to probe the model’s critical behavior. Employing quantum Monte Carlo simulations of the generalized $\mathrm{Sp}(N)$-symmetric models, we probe the conformal window of the gauge theories, with the fuzzy sphere formalism significantly reducing finite-size-effects.
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