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High Energy Physics - Theory

Title: Quantum Field Theory in Large N Wonderland: Three Lectures

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.
Comments: 54 pages, 5 figures, notes for lectures delivered at 63rd Cracow School of Theoretical Physics; v2: slightly expanded, added references; v3: typos corrected, more references
Subjects: High Energy Physics - Theory (hep-th); High Energy Physics - Phenomenology (hep-ph); Nuclear Theory (nucl-th)
Cite as: arXiv:2310.00048 [hep-th]
  (or arXiv:2310.00048v3 [hep-th] for this version)

Submission history

From: Paul Romatschke [view email]
[v1] Fri, 29 Sep 2023 18:00:02 GMT (125kb,D)
[v2] Wed, 18 Oct 2023 14:28:01 GMT (129kb,D)
[v3] Thu, 11 Jan 2024 14:58:27 GMT (129kb,D)

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