Keywords:
Quantum chromodynamics.
;
Electronic books.
Description / Table of Contents:
This book discusses the physical phases of quantum chromodynamics (QCD) in ordinary environments and also in extreme environments of high temperatures and high baryon number. It introduces lattice gauge theory, covering fundamentals and important developments, and emphasises the application of QCD to the study of matter in extreme environments.
Type of Medium:
Online Resource
Pages:
1 online resource (374 pages)
Edition:
1st ed.
ISBN:
9780511206085
Series Statement:
Cambridge Monographs on Particle Physics, Nuclear Physics and Cosmology Series ; v.Series Number 21
URL:
https://ebookcentral.proquest.com/lib/geomar/detail.action?docID=217948
DDC:
539.7548
Language:
English
Note:
Cover -- Half-title -- Series-title -- Title -- Copyright -- Contents -- 1 Introduction -- 2 Background in spin systems and critical phenomena -- 2.1 Notation and definitions and critical indices -- 2.2 Correlation-length scaling and universality classes -- 2.3 Properties of the Ising model -- 2.4 The Kosterlitz-Thouless model -- 2.5 Coulomb gas, duality maps, and the phases of the planar model -- 2.6 Asymptotic freedom in two-dimensional spin systems -- 2.7 Instantons in two-dimensional spin systems -- 2.8 Computer experiments and simulation methods -- 2.9 The transfer matrix in field theory and statistical physics -- 2.9.1 The simple harmonic oscillator -- 2.9.2 The transfer matrix for the Ising model -- 2.9.3 Self-duality and kink condensation through the eyes of the transfer matrix -- 3 Gauge fields on a four-dimensional euclidean lattice -- 3.1 Lattice formulation, local gauge invariance, and the continuum action -- 3.2 Confinement and the strong-coupling limit -- 3.3 Confinement mechanisms in two and four dimensions: vortex and monopole condensation -- 4 Fermions and nonperturbative dynamics in QCD -- 4.1 Asymptotic freedom and the continuum limit -- 4.2 Axial symmetries and the vacuum of QCD -- 4.3 Two-dimensional fermionic models of confinement, axial symmetries, and Theta vacua -- 4.4 Instantons and the scales of QCD -- 5 Lattice fermions and chiral symmetry -- 5.1 Free fermions on the lattice in one and two dimensions -- 5.2 Fermions and bosons on Euclidean lattices -- 5.3 Staggered Euclidean fermions -- 5.4 Block derivatives and axial symmetries -- 5.5 Staggered fermions and remnants of chiral symmetry -- 5.6 Exact chiral symmetry on the lattice -- 5.6.1 Domain-wall fermions -- 5.6.2 The Ginsparg-Wilson relation -- 5.7 Chiral-symmetry breaking on the lattice -- 5.8 Simulating dynamical fermions in lattice-gauge theory.
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5.9 The microcanonical ensemble and molecular dynamics -- 5.10 Langevin and hybrid algorithms -- 6 The Hamiltonian version of lattice-gauge theory -- 6.1 Continuous time and discrete space -- 6.2 Quark confinement in Hamiltonian lattice-gauge theory and thin strings -- 6.3 Relativistic thin strings, delocalization, and Casimir forces -- 6.4 Roughening and the restoration of spatial symmetries -- 7 Phase transitions in lattice-gauge theory at high temperatures -- 7.1 Finite-temperature transitions at strong coupling -- 7.2 Simulations at nonzero temperature -- 7.3 Pure gauge-field simulations at nonzero temperature -- 7.4 Restoration of chiral symmetry and high temperature -- 7.5 Hadronic screening lengths -- 7.6 Thermal dilepton rates and experimental signatures for the quark-gluon plasma -- 7.7 A tour of the three-flavor QCD phase diagram -- 8 Physics of QCD at high temperatures and chemical potentials -- 8.1 The thermodynamic background -- 8.1.1 Thermodynamic ensembles -- 8.1.2 The partition function and Lagrangian -- 8.1.3 Conserved charge and chemical potential -- 8.1.4 The grand canonical partition function and Lagrangian -- 8.1.5 Derivatives of the partition function -- 8.1.6 An example: fermions -- 8.1.7 An example: bosons -- 8.2 Hadron phenomenology and simple models of the transition to the quark-gluon plasma -- 8.3 A tour of the Tau-Mu phase diagram -- 8.3.1 Symmetry, order parameters, and phase transitions -- 8.3.2 Definitions -- 8.3.3 Zero temperature -- 8.3.4 Finite Tau and Mu -- 8.3.5 Universal properties of the tricritical point -- 8.3.6 Summary and remarks -- 8.4 The quark-gluon plasma and the energy scales of QCD -- 8.5 The extreme environment at a relativistic heavy-ion collider -- 9 Large chemical potentials and color superconductivity -- 9.1 Color superconductivity and color-flavor locking.
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9.2 Calculating the gap at asymptotically large Mu -- 9.2.1 The effective action for quarks near the Fermi surface -- 9.2.2 The strategy of the calculation and the meaning of the gap -- 9.2.3 The gap equation -- 9.3 Lowest excitations of the CFL phase -- 9.3.1 The effective Lagrangian for Goldstone modes -- 9.3.2 Decay constants of the Goldstone bosons -- 9.3.3 Meson masses -- 9.3.4 Continuity of quark and nuclear matter? -- 9.4 Comments and some further developments -- 10 Effective Lagrangians and models of QCD at nonzero chemical potential -- 10.1 QCD at finite Mu and the sign problem -- 10.2 The random-matrix model of QCD -- 10.2.1 A random-matrix-model description of the QCD phase diagram -- 10.2.2 Chiral-symmetry breaking, Lee-Yang zeros, and an electrostatic analogy -- 10.2.3 The quenched limit of QCD and the random-matrix model -- 10.3 Two-color QCD and effective Lagrangians -- 10.3.1 QCD inequalities and the nature of the ground state -- 10.3.2 Symmetries and Goldstone bosons in the diquark phase -- 10.3.3 Effective-Lagrangian construction -- 10.3.4 Vacuum alignment, diquark condensation, the phase diagram, and scaling laws -- 10.4 QCD at nonzero isospin chemical potential -- 10.4.1 Positivity and QCD inequalities -- 10.4.2 Small isospin densities: the pion condensate -- 10.4.3 Asymptotically high isospin densities: the quark-antiquark condensate -- 10.4.4 Quark-hadron continuity and confinement -- 10.5 Pion propagation near and below Tauc -- 10.5.1 Pion dispersion from static quantities (summary) -- 10.5.2 Derivation -- 10.5.3 Critical behavior -- 11 Lattice-gauge theory at nonzero chemical potential -- 11.1 Propagators and formulating the chemical potential on a Euclidean lattice -- 11.2 Naive fermions at finite density -- 11.3 The three-dimensional four-Fermi model at nonzero Tau and Mu.
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11.4 Four-flavor SU(2) lattice-gauge theory at nonzero Mu and Tau -- 11.5 High-density QCD and static quarks -- 11.6 The Glasgow algorithm -- 11.7 The Fodor-Katz method for high Tau, low Mu -- 11.8 QCD at complex chemical potential -- 12 Epilogue -- References -- Index.
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