Quarks, Gluons and Lattices
@inproceedings{Creutz1984QuarksGA, title={Quarks, Gluons and Lattices}, author={Michael Creutz}, year={1984} }
Preface 1. Quarks and gluons 2. Lattices 3. Path integrals and statistical mechanics 4. Scalar fields 5. Fermions 6. Gauge fields 7. Lattice gauge theory 8. Group integration 9. Gauge-invariance and order parameters 10. Strong coupling 11. Weak coupling 12. Renormalization and the continuum limit 13. Asymptotic freedom and dimensional transmutation 14. Mean field theory 15. The Hamiltonian approach 16. Discrete groups and duality 17. Migdal-Kadanoff recursion relations 18. Monte Carlo…
775 Citations
A coupled cluster study of Abelian lattice gauge field theories
- Physics
- 1993
It is widely accepted that the quantum chromodynamics (QCD) of interacting quarks and gluons is the best theory of the strong interaction, and hence of (sub-)hadronic structure, that is presently…
Lattice Quantum Chromodynamics
- Physics
- 2017
Concepts and applications of lattice quantum chromodynamics (LQCD) are introduced. After discussing how to define quarks and gluons on the Euclidean hypercubic lattice, the strong coupling expansion…
Chiral symmetry breaking and quark confinement in the nilpotency expansion of QCD
- Physics
- 2011
We apply to lattice QCD a bosonization method previously developed in which dynamical bosons are generated by time-dependent Bogoliubov transformations. The transformed action can be studied by an…
Quantum Field Theories on the Lattice : Concepts behind their Numerical Simulations
- Physics
- 2011
We review the basic ideas behind numerical simulations of quantum field theory, which lead to non‐perturbative results in particle physics. We first sketch the functional integral formulation of…
Hadron Physics from Lattice QCD
- Physics
- 2016
We sketch the basic ideas of the lattice regularization in Quantum Field Theory, the corresponding Monte Carlo simulations, and applications to Quantum Chromodynamics (QCD). This approach enables the…
String formation and chiral symmetry breaking in the heavy-light quark-antiquark system in QCD
- Physics
- 2000
The effective quark Lagrangian is written for a light quark in the field of a static antiquark, explicitly containing field correlators as coefficient functions of products of quark operators. At…
QCD and Hadrons on a Lattice
- Physics
- 1990
These lectures provide an elementary introduction to the study of hadronic physics using QCD on a lattice. Path integrals are reviewed to show how field theory on a lattice is reduced to quadrature.…
Strongly Coupled Lattice Gauge Theories and Antiferromagnetic Spin Systems
- Physics
- 1999
In this thesis, I use the strong coupling expansion to investigate the multiflavor lattice Schwinger models in the hamiltonian formalism using staggered fermions. In particular, I am interested in…