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This book reports on progress in numerical methods for Lattice QCD with chiral fermions. It contains a set of pedagogical introductory articles written by experts from both the Applied Mathematics and Lattice Field Theory communities, together with detailed accounts of leading-edge algorithms for the simulation of overlap chiral fermions. Topics covered include: QCD simulations in the chiral regime; Evaluation and approximation of matrix functions; Krylov subspace methods for the iterative solution of linear systems; Eigenvalue solvers. These are complemented by a set of articles on closely re

Quantum chromodynamics --- Lattice field theory --- Numerical analysis --- Particles (Nuclear physics) --- Mathematical models --- Chirality --- Elementary particles (Physics) --- High energy physics --- Nuclear particles --- Nucleons --- Nuclear physics --- Field theory (Physics) --- Lattice theory --- Chromodynamics, Quantum --- QCD (Nuclear physics) --- Quantum electrodynamics --- 519.6 --- 681.3*J2 --- 519.6 Computational mathematics. Numerical analysis. Computer programming --- Computational mathematics. Numerical analysis. Computer programming --- 681.3*J2 Physical sciences and engineering (Computer applications) --- Physical sciences and engineering (Computer applications) --- Lattice QCD --- Numerical analysis. --- Computer science. --- Numerical Analysis. --- Computational Science and Engineering. --- Theoretical, Mathematical and Computational Physics. --- Informatics --- Science --- Mathematical analysis --- Computer mathematics. --- Mathematical physics. --- Computer mathematics --- Electronic data processing --- Mathematics --- Physical mathematics --- Physics

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This book contains seven reviews and four research articles on the various modern approaches to the problem of quark confinement in quantum chromodynamics (QCD). These approaches include microscopic models of the Yang–Mills vacuum, which are based on the condensation of magnetic monopoles and center vortices, as well as the models of the confining quark-antiquark string. Possible applications of these models to the analysis of the novel superinsulating state, which emerges in such condensed-matter systems as Josephson junction arrays, are further discussed in one of the reviews. Two reviews from this collection discuss the approaches towards the analytic construction of effective confining theories, at the classical level and within the center-vortex model of the Yang–Mills vacuum. Other aspects of non-perturbative physics addressed by this collection include a possible connection between the localization of low-lying Dirac eigenmodes with the deconfinement and the chiral QCD phase transitions, as well as the role of topology in baryon-rich matter. Last but not least, a novel model of dark matter, based on ultralight axion particles, whose masses are arising due to distinct SU(2) Yang–Mills scales and the Planck mass, is suggested and developed in one of the contributed articles.

Research & information: general --- quantum chromodynamics --- confinement --- center vortex model --- vacuum structure --- cooling --- Lattice Gauge Theories --- Effective String Theories --- localization --- QCD --- lattice gauge theory --- finite temperature --- galaxy rotation curves --- low surface brightness --- dark matter --- dark energy --- ultralight axion particles --- cores --- halos --- mass-density --- profiles --- pure Yang–Mills theory --- monopoles --- topological interactions --- ensembles and effective fields --- topological solitons --- higher order theories --- gauge theory --- effective field theory --- magnetic flux symmetry --- chiral symmetry --- monopole --- lattice QCD --- spontaneous symmetry breaking --- Abelian projection --- magnetic catalysis --- magnetic disorder --- confinement models --- center vortices --- magnetic monopoles --- quark condensate --- topology --- lattice field theory --- dense matter --- phase transitions --- n/a --- pure Yang-Mills theory

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The book is devoted to the discussion of modern aspects of the theory of hadronic matter under extreme conditions. It consists of 12 selected contributions to the second international workshop on this topic held in fall 2019 at JINR Dubna, Russia. Of particular value are the contributions to lattice gauge theory studies attacking the problem of simulating QCD at finite baryon densities, one of the major challenges at the present time in this field. Another unique aspect is provided by the discussion of puzzling effects that appear in the poduction of hadrons in nuclear collisions, like the horn in the K+/pi+ ratio, which are subject to hydrodynamic and reaction-kinetic modeling of these nonequilibrium phenomena.

Research & information: general --- quantum chromodynamics --- confinement --- center vortex model --- string tension --- Gribov copy problem --- chiral imbalance --- chiral perturbation theory --- linear sigma model --- charged pion decay in chiral medium --- local parity breaking --- Glauber and Giessen Boltzmann–Uehling–Uhlenbeck (GiBUU) models --- formation length --- semiexclusive processes --- ultraperipheral and central heavy ion collisions --- n,p,π and Λ+Σ0 production --- QCD phase diagram --- non-zero baryon density --- dualities --- lattice QCD --- isospin --- BCS phase --- finite density --- density of states techniques --- xenon --- heavy-ion collision --- LHC --- particle momentum spectrum --- particle number ratio --- PNJL model --- Beth–Uhlenbeck --- phase shift --- “horn” effect --- kinetic approaches to dense matter --- quark-gluon plasma --- collective flow --- nucleosynthesis --- supernova --- magnetars --- baryon density --- gluon propagator --- screening mass --- (2 + 1)-dimensional QED --- dynamical chiral symmetry breaking --- 1/N expansion --- non-local gauge

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• Reference Manager
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The book is devoted to the discussion of modern aspects of the theory of hadronic matter under extreme conditions. It consists of 12 selected contributions to the second international workshop on this topic held in fall 2019 at JINR Dubna, Russia. Of particular value are the contributions to lattice gauge theory studies attacking the problem of simulating QCD at finite baryon densities, one of the major challenges at the present time in this field. Another unique aspect is provided by the discussion of puzzling effects that appear in the poduction of hadrons in nuclear collisions, like the horn in the K+/pi+ ratio, which are subject to hydrodynamic and reaction-kinetic modeling of these nonequilibrium phenomena.

quantum chromodynamics --- confinement --- center vortex model --- string tension --- Gribov copy problem --- chiral imbalance --- chiral perturbation theory --- linear sigma model --- charged pion decay in chiral medium --- local parity breaking --- Glauber and Giessen Boltzmann–Uehling–Uhlenbeck (GiBUU) models --- formation length --- semiexclusive processes --- ultraperipheral and central heavy ion collisions --- n,p,π and Λ+Σ0 production --- QCD phase diagram --- non-zero baryon density --- dualities --- lattice QCD --- isospin --- BCS phase --- finite density --- density of states techniques --- xenon --- heavy-ion collision --- LHC --- particle momentum spectrum --- particle number ratio --- PNJL model --- Beth–Uhlenbeck --- phase shift --- “horn” effect --- kinetic approaches to dense matter --- quark-gluon plasma --- collective flow --- nucleosynthesis --- supernova --- magnetars --- baryon density --- gluon propagator --- screening mass --- (2 + 1)-dimensional QED --- dynamical chiral symmetry breaking --- 1/N expansion --- non-local gauge