Theta-vacuum and large N limit in \({\mathbb C}P^{N-1}\) \(\sigma \) models

DOI10.1016/j.nuclphysb.2010.11.004zbMath1207.81055arXiv1009.2629OpenAlexW2171043101WikidataQ62560990 ScholiaQ62560990MaRDI QIDQ632097

Manuel Asorey, Miguel Aguado

Publication date: 14 March 2011

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.2629

zbMATH Keywords

instantonstheta vacuumlarge \(N\) limit

Mathematics Subject Classification ID

Model quantum field theories (81T10) Continuum limits in quantum field theory (81T27) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Theta functions and abelian varieties (14K25) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21)

Related Items (4)

Flag manifold sigma models. Spin chains and integrable theories ⋮ Renormalization of the nonlinear \(O(3)\) model with \(\theta \)-term ⋮ Topological properties of \(\mathbb{CP}^{N-1} \) models in the large-\(N\) limit ⋮ Resurgence and trans-series in quantum field theory: the \(\mathbb{C}{{\mathbb{P}}^{N-1}}\) model

Cites Work

• Nahm transform and moduli spaces of \(\mathbb{C} P^{N}\)-models on the torus
• \(\theta\) renormalization, electron-electron interactions and super universality in the quantum Hall regime
• Nahm's transformation for instantons
• The large \(N\) limit of superconformal field theories and supergravity
• Super universality of the quantum Hall effect and the ``large \(N\) picture of the \(\vartheta \) angle
• Two soluble models of an antiferromagnetic chain
• Vacuum Structure of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi>CP</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="italic">N</mml:mi></mml:mrow></mml:msup></mml:mrow></mml:math>Sigma Models at<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="italic">θ</mml:mi><mml:mi mathvariant="italic" /><mml:mspace /><mml:mo>=</mml:mo><mml:mspace /><mml:mi mathvariant="italic">π</mml:mi></mml:…
• Vacuum nodes and anomalies in quantum theories

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