# On Dimensional Transmutation in 1+1D Quantum Hydrodynamics

30 Aug 2020 Gorsky Alexander Koroteeva Olesya Koroteev Peter Vainshtein Arkady

Recently a detailed correspondence was established between, on one side, four and five-dimensional large-N supersymmetric gauge theories with $\mathcal{N}=2$ supersymmetry and adjoint matter, and, on the other side, integrable 1+1-dimensional quantum hydrodynamics. Under this correspondence the phenomenon of dimensional transmutation, familiar in asymptotically free QFTs, gets mapped to the transition from the elliptic Calogero-Moser many-body system to the closed Toda chain... (read more)

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