Topological lattice actions

DOI10.1007/JHEP12(2010)020zbMath1294.81142arXiv1009.2146MaRDI QIDQ407082

J. Herrera, H. S. Yoon

Publication date: 29 August 2014

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

Full work available at URL: https://arxiv.org/abs/1009.2146

zbMATH Keywords

sigma modelsfield theories in lower dimensionsnonperturbative effectslattice quantum field theory

Mathematics Subject Classification ID

Quantum field theory on lattices (81T25) Continuum limits in quantum field theory (81T27) Nonperturbative methods of renormalization applied to problems in quantum field theory (81T16) Topological field theories in quantum mechanics (81T45) Eta-invariants, Chern-Simons invariants (58J28)

Related Items (12)

Lattice meets lattice: application of lattice cubature to models in lattice gauge theory ⋮ On the efficient numerical solution of lattice systems with low-order couplings ⋮ An improved single-plaquette gauge action ⋮ \(U(1)\) lattice gauge theory with a topological action ⋮ Topological susceptibility from slabs ⋮ An ideal toy model for confining, walking and conformal gauge theories: \(O(3)\) sigma model with \(\vartheta\)-term ⋮ Avoiding the Sign Problem in Lattice Field Theory ⋮ Lattice determinations of the strong coupling ⋮ Quasi-Monte Carlo methods for lattice systems: a first look ⋮ Is \(N = 2\) large? ⋮ Non-abelian lattice gauge theory with a topological action ⋮ Mean distribution approach to spin and gauge theories

Cites Work

• On-shell improved lattice gauge theories
• Exploring topology conserving gauge actions for lattice QCD
• Lattice gauge fields, principal bundles and the calculation of topological charge
• Topological charge of (lattice) gauge fields
• Topological quantum field theory
• Phase structure of two-dimensional spin models and percolation
• Abelian chiral gauge theories on the lattice with exact gauge invariance
• Locality properties of Neuberger's lattice Dirac operator
• Weyl fermions on the lattice and the non-abelian gauge anomaly
• Percolation and the existence of a soft phase in the classical Heisenberg model
• Topology of lattice gauge fields
• On the slow decay of \(O(2)\) correlations in the absence of topological excitations: Remark on the Patrascioiu-Seiler model
• The puzzle of apparent linear lattice artifacts in the 2d non-linear \(\sigma \)-model and Symanzik's solution
• Universality of the topological susceptibility in the SU(3) gauge theory
• TBA equations for excited states in theO(3) andO(4) nonlinear  -model
• The \(U_A(1)\) problem on the lattice with Ginsparg-Wilson fermions

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