LEADER 04504nam 22006735 450 001 9910739479203321 005 20200702141618.0 010 $a94-024-0999-8 024 7 $a10.1007/978-94-024-0999-4 035 $a(CKB)3710000000909284 035 $a(DE-He213)978-94-024-0999-4 035 $a(MiAaPQ)EBC4722280 035 $a(PPN)196320933 035 $a(EXLCZ)993710000000909284 100 $a20161020d2017 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aLattice Quantum Chromodynamics $ePractical Essentials /$fby Francesco Knechtli, Michael Günther, Michael Peardon 205 $a1st ed. 2017. 210 1$aDordrecht :$cSpringer Netherlands :$cImprint: Springer,$d2017. 215 $a1 online resource (XIII, 140 p. 12 illus., 1 illus. in color.) 225 1 $aSpringerBriefs in Physics,$x2191-5423 311 $a94-024-0997-1 320 $aIncludes bibliographical references at the end of each chapters. 327 $aQuantum Field Theory (QFT) on the Lattice -- A brief history of quarks and gluons -- Classical fields and gauge invariance -- Hamiltonian and path integral formulations of quantum mechanics -- Quantum fields on a lattice -- Recovering continuum QCD -- Further reading -- Monte Carlo methods -- Markov chain Monte Carlo -- Sampling Yang?Mills gauge fields -- Hybrid Monte Carlo -- Symplectic integration schemes -- Summary and Further reading -- Handling fermions on the lattice -- Wick contractions -- Sparse Linear Algebra -- Fermion determinant -- HMC with fermions revisited -- The quark propagator from a point source -- All-to-all quark propagators -- Summary and Further reading -- Calculating observables of quantum fields -- Symmetry properties of creation and annihilation operators -- Techniques for hadron spectroscopy -- Gluons, Wilson Loops and glueballs -- Quarks and hadron physics -- Statistical data analysis -- Summary -- A Notational conventions -- A.1 SU(N) notation -- A.2 Fermions -- A.3 Probability spaces -- References. 330 $aThis book provides an overview of the techniques central to lattice quantum chromodynamics, including modern developments. The book has four chapters. The first chapter explains the formulation of quarks and gluons on a Euclidean lattice. The second chapter introduces Monte Carlo methods and details the numerical algorithms to simulate lattice gauge fields. Chapter three explains the mathematical and numerical techniques needed to study quark fields and the computation of quark propagators. The fourth chapter is devoted to the physical observables constructed from lattice fields and explains how to measure them in simulations. The book is aimed at enabling graduate students who are new to the field to carry out explicitly the first steps and prepare them for research in lattice QCD. 410 0$aSpringerBriefs in Physics,$x2191-5423 606 $aQuantum field theory 606 $aString theory 606 $aElementary particles (Physics) 606 $aArtificial intelligence 606 $aMathematical physics 606 $aQuantum Field Theories, String Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/P19048 606 $aElementary Particles, Quantum Field Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/P23029 606 $aArtificial Intelligence$3https://scigraph.springernature.com/ontologies/product-market-codes/I21000 606 $aMathematical Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/M35000 615 0$aQuantum field theory. 615 0$aString theory. 615 0$aElementary particles (Physics). 615 0$aArtificial intelligence. 615 0$aMathematical physics. 615 14$aQuantum Field Theories, String Theory. 615 24$aElementary Particles, Quantum Field Theory. 615 24$aArtificial Intelligence. 615 24$aMathematical Physics. 676 $a530.143 700 $aKnechtli$b Francesco$4aut$4http://id.loc.gov/vocabulary/relators/aut$0825095 702 $aGünther$b Michael$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aPeardon$b Michael$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910739479203321 996 $aLattice Quantum Chromodynamics$93553250 997 $aUNINA