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An ideal toy model for confining, walking and conformal gauge theories: \(O(3)\) sigma model with \(\vartheta\)-term

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Publication:339219
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DOI10.1007/JHEP05(2012)089zbMath1348.81299arXiv1202.4616MaRDI QIDQ339219

Daniel Nogradi

Publication date: 7 November 2016

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.4616


zbMATH Keywords

sigma modelslattice gauge field theories


Mathematics Subject Classification ID

Model quantum field theories (81T10)


Related Items (3)

Walking in the 3-dimensional large \(N\) scalar model ⋮ The Yang-Mills gradient flow and \(\mathrm{SU}(3)\) gauge theory with 12 massless fundamental fermions in a colour-twisted box ⋮ Thermodynamics of the \(O(3)\) model in \(1+1\) dimensions: lattice vs. analytical results



Cites Work

  • Topological lattice actions
  • The finite size spectrum of the 2-dimensional \(O(3)\) nonlinear \(\sigma \)-model
  • TBA equations for the mass gap in the \(O(2r)\) nonlinear \(\sigma\)-models
  • The puzzle of apparent linear lattice artifacts in the 2d non-linear \(\sigma \)-model and Symanzik's solution
  • TBA equations for excited states in theO(3) andO(4) nonlinear  -model


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