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• Lattice_QCD abstract "Lattice QCD is a well-established non-perturbative approach to solving the quantum chromodynamics (QCD) theory of quarks and gluons. It is a lattice gauge theory formulated on a grid or lattice of points in space and time. When the size of the lattice is taken infinitely large and its sites infinitesimally close to each other, the continuum QCD is recovered.Analytic or perturbative solutions in low-energy QCD are hard or impossible due to the highly nonlinear nature of the strong force and the large coupling constant at low energies. This formulation of QCD in discrete rather than continuous spacetime naturally introduces a momentum cut-off at the order 1/a, where a is the lattice spacing, which regularizes the theory. As a result, lattice QCD is mathematically well-defined. Most importantly, lattice QCD provides a framework for investigation of non-perturbative phenomena such as confinement and quark–gluon plasma formation, which are intractable by means of analytic field theories.In lattice QCD, fields representing quarks are defined at lattice sites (which leads to fermion doubling), while the gluon fields are defined on the links connecting neighboring sites. This approximation approaches continuum QCD as the spacing between lattice sites is reduced to zero. Because the computational cost of numerical simulations can increase dramatically as the lattice spacing decreases, results are often extrapolated to a = 0 by repeated calculations at different lattice spacings a that are large enough to be tractable.Numerical lattice QCD calculations using Monte Carlo methods can be extremely computationally intensive, requiring the use of the largest available supercomputers. To reduce the computational burden, the so-called quenched approximation can be used, in which the quark fields are treated as non-dynamic \"frozen\" variables. While this was common in early lattice QCD calculations, \"dynamical\" fermions are now standard. These simulations typically utilize algorithms based upon molecular dynamics or microcanonical ensemble algorithms.At present, lattice QCD is primarily applicable at low densities where the numerical sign problem does not interfere with calculations. Lattice QCD predicts that confined quarks will become released to quark-gluon plasma around energies of 150 MeV. Monte Carlo methods are free from the sign problem when applied to the case of QCD with gauge group SU(2) (QC2D).Lattice QCD has already made successful contact with many experiments. For example the mass of the proton has been determined theoretically with an error of less than 2 percent.Lattice QCD has also been used as a benchmark for high-performance computing, an approach originally developed in the context of the IBM Blue Gene supercomputer.".
• Lattice_QCD wikiPageExternalLink 0405024.
• Lattice_QCD wikiPageExternalLink 0509180.
• Lattice_QCD wikiPageExternalLink 9807028.
• Lattice_QCD wikiPageExternalLink fermiqcd.net.
• Lattice_QCD wikiPageExternalLink LAT2005_001.pdf.
• Lattice_QCD wikiPageID "977072".
• Lattice_QCD wikiPageLength "10303".
• Lattice_QCD wikiPageOutDegree "47".
• Lattice_QCD wikiPageRevisionID "678944527".
• Lattice_QCD wikiPageWikiLink Action_(physics).
• Lattice_QCD wikiPageWikiLink Blue_Gene.
• Lattice_QCD wikiPageWikiLink Category:Lattice_models.
• Lattice_QCD wikiPageWikiLink Category:Quantum_chromodynamics.
• Lattice_QCD wikiPageWikiLink Color_confinement.
• Lattice_QCD wikiPageWikiLink Condensed_matter_physics.
• Lattice_QCD wikiPageWikiLink Correlation_function_(quantum_field_theory).
• Lattice_QCD wikiPageWikiLink Coupling_constant.
• Lattice_QCD wikiPageWikiLink Crystal.
• Lattice_QCD wikiPageWikiLink Distribution_function.
• Lattice_QCD wikiPageWikiLink Euclidean_space.
• Lattice_QCD wikiPageWikiLink Extrapolation.
• Lattice_QCD wikiPageWikiLink Fermion.
• Lattice_QCD wikiPageWikiLink Fermion_doubling.
• Lattice_QCD wikiPageWikiLink Gauge_boson.
• Lattice_QCD wikiPageWikiLink Gluon.
• Lattice_QCD wikiPageWikiLink Hadron.
• Lattice_QCD wikiPageWikiLink Jan_Smit_(physicist).
• Lattice_QCD wikiPageWikiLink Kenneth_G._Wilson.
• Lattice_QCD wikiPageWikiLink Lattice_(group).
• Lattice_QCD wikiPageWikiLink Lattice_field_theory.
• Lattice_QCD wikiPageWikiLink Lattice_gauge_theory.
• Lattice_QCD wikiPageWikiLink Lattice_model_(physics).
• Lattice_QCD wikiPageWikiLink Microcanonical_ensemble.
• Lattice_QCD wikiPageWikiLink Minimal_subtraction_scheme.
• Lattice_QCD wikiPageWikiLink Molecular_dynamics.
• Lattice_QCD wikiPageWikiLink Monte_Carlo_method.
• Lattice_QCD wikiPageWikiLink Numerical_sign_problem.
• Lattice_QCD wikiPageWikiLink Perturbation_theory_(quantum_mechanics).
• Lattice_QCD wikiPageWikiLink Propagator.
• Lattice_QCD wikiPageWikiLink Proton.
• Lattice_QCD wikiPageWikiLink QCD_matter.
• Lattice_QCD wikiPageWikiLink QCD_sum_rules.
• Lattice_QCD wikiPageWikiLink Quantum_chromodynamics.
• Lattice_QCD wikiPageWikiLink Quark.
• Lattice_QCD wikiPageWikiLink Quark–gluon_plasma.
• Lattice_QCD wikiPageWikiLink Quenched_approximation.
• Lattice_QCD wikiPageWikiLink Renormalization.
• Lattice_QCD wikiPageWikiLink S-matrix.
• Lattice_QCD wikiPageWikiLink Spacetime.
• Lattice_QCD wikiPageWikiLink Strong_interaction.
• Lattice_QCD wikiPageWikiLink Supercomputer.
• Lattice_QCD wikiPageWikiLink Taylor_series.
• Lattice_QCD wikiPageWikiLink Wick_rotation.
• Lattice_QCD wikiPageWikiLinkText "Lattice QCD".
• Lattice_QCD wikiPageWikiLinkText "lattice QCD".
• Lattice_QCD wikiPageWikiLinkText "lattice field theory".
• Lattice_QCD wikiPageWikiLinkText "lattice quantum chromodynamics".
• Lattice_QCD wikiPageWikiLinkText "lattice".
• Lattice_QCD wikiPageUsesTemplate Template:Citation_needed.
• Lattice_QCD wikiPageUsesTemplate Template:Quantum_field_theory.
• Lattice_QCD wikiPageUsesTemplate Template:Reflist.
• Lattice_QCD subject Category:Lattice_models.
• Lattice_QCD subject Category:Quantum_chromodynamics.
• Lattice_QCD hypernym Approach.
• Lattice_QCD type Model.
• Lattice_QCD type ProgrammingLanguage.
• Lattice_QCD type Chromodynamic.
• Lattice_QCD type Mechanic.
• Lattice_QCD type Model.
• Lattice_QCD type Physic.
• Lattice_QCD type Redirect.
• Lattice_QCD comment "Lattice QCD is a well-established non-perturbative approach to solving the quantum chromodynamics (QCD) theory of quarks and gluons. It is a lattice gauge theory formulated on a grid or lattice of points in space and time.".
• Lattice_QCD label "Lattice QCD".
• Lattice_QCD sameAs Q6166044.
• Lattice_QCD sameAs Chromodynamique_quantique_sur_réseau.
• Lattice_QCD sameAs כרומודינמיקה_קוונטית_על_סריג.
• Lattice_QCD sameAs QCD_su_reticolo.
• Lattice_QCD sameAs ਲੈੱਟਿਸ_ਕੁਆਂਟਮ_ਕ੍ਰੋਮੋਡਾਇਨਾਮਿਕਸ.
• Lattice_QCD sameAs Retículo_QCD.
• Lattice_QCD sameAs m.03w0t5.
• Lattice_QCD sameAs Q6166044.
• Lattice_QCD wasDerivedFrom Lattice_QCD?oldid=678944527.
• Lattice_QCD isPrimaryTopicOf Lattice_QCD.