2023/09/29 by Paul Romatschke, Romatschke, Paul
Physics and Astronomy · #Quantum, superfluid, helium dynamics #Atomic and Subatomic Physics Research
paper · pdf · doi:10.48550/arxiv.2310.00048
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.