Casimir squared correction to the standard rotator Hamiltonian for the O(\(n\)) sigma-model in the delta-regime

DOI10.1007/JHEP05(2018)070zbMath1391.81142arXiv1801.06858OpenAlexW3098295956MaRDI QIDQ1651105

Ferenc Niedermayer, Peter Weisz

Publication date: 11 July 2018

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

Full work available at URL: https://arxiv.org/abs/1801.06858

zbMATH Keywords

sigma modelslattice quantum field theoryeffective field theories

Mathematics Subject Classification ID

Model quantum field theories (81T10) Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Quantum field theory on lattices (81T25) Casimir effect in quantum field theory (81T55)

Cites Work

• The finite size spectrum of the 2-dimensional \(O(3)\) nonlinear \(\sigma \)-model
• The rotator spectrum in the delta-regime of the \(O(n)\) effective field theory in 3 and 4 dimensions
• Isospin susceptibility in the \(O(n)\) sigma-model in the delta-regime
• TBA equations for the mass gap in the \(O(2r)\) nonlinear \(\sigma\)-models
• Matching effective chiral Lagrangians with dimensional and lattice regularizations
• Massless sunset diagrams in finite asymmetric volumes
• TBA equations for excited states in theO(3) andO(4) nonlinear  -model

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