Quantum Field Theory in Large N Wonderland: Three Lectures

Paul Romatschke

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arXiv · 2310.00048

Quantum Field Theory in Large N Wonderland: Three Lectures

Paul Romatschke

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Abstract

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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Paul Romatschke. 2023-09-29. Quantum Field Theory in Large N Wonderland: Three Lectures. https://arxiv.org/abs/2310.00048

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