Ultraviolet filtering of lattice configurations and applications to Monte Carlo dynamics

DOI10.1007/JHEP07(2011)034zbMath1298.81196arXiv1103.5999MaRDI QIDQ467316

Margarita García Pérez, Alfonso Sastre, Antonio González-Arroyo

Publication date: 3 November 2014

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

Full work available at URL: https://arxiv.org/abs/1103.5999

zbMATH Keywords

solitons monopoles and instantonslattice gauge field theories

Mathematics Subject Classification ID

Monte Carlo methods (65C05) Yang-Mills and other gauge theories in quantum field theory (81T13) Quantum field theory on lattices (81T25) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21) Soliton solutions (35C08)

Cites Work

• Exact T-duality between calorons and Taub-NUT spaces
• Critical slowing down and error analysis in lattice QCD simulations
• \(\theta \) dependence of \(SU(N)\) gauge theories
• An \(\text{SU}(2)\) KvBLL caloron gas model and confinement
• Nahm's transformation for instantons
• Construction of instantons
• Some twisted self-dual solutions for the Yang-Mills equations on a hypertorus
• An accelerated conjugate gradient algorithm to compute low-lying eigenvalues -- a study for the Dirac operator in SU(2) lattice QCD
• Periodic instantons with non-trivial holonomy
• Instantons and magnetic monopoles on \({\mathbb{R}}^ 3\times S^ 1\) with arbitrary simple gauge groups.
• Quantum fluctuations of pseudoparticles
• Properties and uses of the Wilson flow in lattice QCD
• Instantons in QCD
• Numerical study of Yang-Mills classical solutions on the twisted torus
• MINIMIZING STORAGE IN IMPLEMENTATIONS OF THE OVERLAP LATTICE-DIRAC OPERATOR
• Exact chiral symmetry, topological charge and related topics

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