Hadronic Physics From Lattice QCD 1st Edition by Anthony M Green ISBN 981256022X 9789812560223 by Anthony M Green 9789812560223, 9789812701381, 981256022X, 9812701389 instant download after payment.

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ISBN 10: 981256022X 
ISBN 13: 9789812560223
Author: Anthony M Green

Hadronic Physics From Lattice QCD 1st Table of contents:

I. Foundations of Lattice QCD for Hadronic Physics

• Introduction to Quantum Chromodynamics (QCD): A brief overview of the theory of strong interactions.
• Basics of Lattice Gauge Theory: Discretization of spacetime, Wilson loops, gauge fields, fermion actions (e.g., staggered, clover, domain-wall fermions).
• Numerical Methods: Monte Carlo simulations, importance sampling, algorithms for generating gauge configurations.
• Systematic Errors in Lattice QCD:
  • Lattice spacing errors (continuum extrapolation).
  • Finite-volume effects.
  • Quark mass dependence (chiral extrapolation to physical quark masses).
  • Unquenching (including quark loops, i.e., "full QCD" vs. "quenched QCD").

II. Hadron Spectroscopy from Lattice QCD

• Meson and Baryon Spectroscopy: Calculation of masses and decay constants for:
  • Light mesons (pions, kaons, rho, omega, etc.)
  • Light baryons (protons, neutrons, lambdas, sigmas, etc.)
  • Heavy-light mesons (D, B mesons)
  • Heavy quarkonia (J/psi, Upsilon)
• Exotic Hadrons:
  • Glueballs (pure gluonic states).
  • Hybrid mesons (quarks and excited gluon fields).
  • Hadronic molecules (loosely bound multi-quark states).
  • Tetraquarks, Pentaquarks.
• Excited States and Resonances: Techniques for extracting excited hadron spectra and scattering phase shifts.

III. Hadron Structure and Interactions

• Quark-Antiquark Potentials:
  • Static QCD potential (confinement).
  • Potentials between non-static quarks.
  • String picture of confinement.
• Form Factors and Parton Distribution Functions (PDFs):
  • Electromagnetic and axial form factors of nucleons.
  • Generalized Parton Distributions (GPDs) and Transverse Momentum Distributions (TMDs).
  • Structure of hadrons.
• Hadron-Hadron Interactions:
  • Nucleon-nucleon interactions (NN potential).
  • Hyperon-nucleon and hyperon-hyperon interactions.
  • Meson-baryon interactions.
  • Finite-volume methods (Lüscher's formalism) for extracting scattering amplitudes.

IV. Nuclear Physics from Lattice QCD

• Light Nuclei and Hypernuclei: Calculations of binding energies and properties of few-nucleon systems (deuteron, triton, alpha particle).
• Nuclear Forces from QCD: Deriving the nuclear force from first principles.
• Nuclear Matter and Dense QCD:
  • Equation of state of nuclear matter.
  • Phases of QCD (quark-gluon plasma, chiral symmetry restoration).
  • Neutron star properties.
• Nuclear Matrix Elements: Calculations relevant for electroweak processes in nuclei, dark matter detection, and searches for new physics beyond the Standard Model.

V. Computational Aspects and Future Directions

• Algorithmic Developments: Improved fermion actions, Monte Carlo algorithms.
• High-Performance Computing: The role of supercomputers in Lattice QCD calculations.
• Effective Field Theories (EFTs) and Lattice QCD: How EFTs are used to bridge lattice calculations to lower energy phenomena and nuclear physics.
• Outlook and Challenges: Future prospects, op

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