Matching effective chiral Lagrangians with dimensional and lattice regularizations

DOI10.1007/JHEP04(2016)110zbMath1388.81447arXiv1601.00614MaRDI QIDQ1638567

Peter Weisz, Ferenc Niedermayer

Publication date: 12 June 2018

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

Full work available at URL: https://arxiv.org/abs/1601.00614

zbMATH Keywords

sigma modelslattice quantum field theoryeffective field theories

Mathematics Subject Classification ID

Quantum field theory on lattices (81T25)

Related Items (6)

Massless sunset diagrams in finite asymmetric volumes ⋮ Dimensionally regularized Boltzmann-Gibbs statistical mechanics and two-body Newton's gravitation ⋮ Newton's gravitation-force's classical average proof of a Verlinde's conjecture ⋮ Dimensionally regularized Tsallis' statistical mechanics and two-body Newton's gravitation ⋮ Casimir squared correction to the standard rotator Hamiltonian for the O(\(n\)) sigma-model in the delta-regime ⋮ Isospin susceptibility in the \(O(n)\) sigma-model in the delta-regime

Cites Work

• The QCD rotator in the chiral limit
• 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
• TBA equations for the mass gap in the \(O(2r)\) nonlinear \(\sigma\)-models
• Massless sunset diagrams in finite asymmetric volumes
• TBA equations for excited states in theO(3) andO(4) nonlinear  -model
• Nonlinear integral equations for finite volume excited-state energies of theO(3) andO(4) nonlinear σ-models
• Roy equation analysis of \(\pi \pi\) scattering

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