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Quantum Field Theory in Large N Wonderland: Three Lectures
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In these lecture notes, I review how to use large N techniques to solve quantum field theories in various dimensions. In particular, the case of N-dimensional quantum mechanics, non-relativistic cold and dense neutron matter, and scalar field theory in four dimensions are covered. A recurring theme is that large N solutions are fully non-perturbative, and can be used to reliably access quantum field theory for parameter regions where weak-coupling expansions simply fail.
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Large N vector models in the Hamiltonian framework
A second-quantized Hamiltonian framework recovers known large N vector model results by interpreting the ground state as a Bose-Einstein condensate of species, with O(N) invariant excitations being bilocal.
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