Introduction.- Asymptotic Freedom in Quantum Magnets.- Unifying Static and Dynamic Properties in 3D Quantum Antiferromagnets.- Nonequilibrium Quantum Mechanics: A "Hot Quantum Soup" of Paramagnons.- Dimensional Reduction in Quantum Critical Systems.- Continuity of the Order Parameter in Magnetic Condensates.- Multiple Universalities in Order-Disorder Magnetic Phase Transitions.- Prediction of Ultra-Narrow Higgs Resonance in Magnon Bose-Condensates.- Violation of the Spin-Statistics Theorem and the Bose-Einstein Condensation of Particles with Half-Integer Spin.
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