In chapter one I begin by discussing the basic ideas of quantum field, theory (QFT). I provide a review of symmetries in physics and then move on to discuss the quark model. Chapter two is a review of lattice gauge theory with particular attention paid to lattice QCD. I begin by discussing lattice QCD and then discuss some of the associated problems. I move on to discuss gauge fields on the lattice along with free lattice fermions. I then use this to define the lattice QCD action. I conclude this chapter by discussing how to reproduce the correct continuum physics. Chapter three discusses the basic numerical techniques employed in lattice simulations. I review methods for putting particles onto the lattice and conclude with a discussion of how to fit the resulting data. Chapter four reviews symmetries of the QCD Lagrangian, various forms of symmetry breaking in physics, the PCAC relation, the Goldberger-Treiman relation and the spontaneous breakdown of the axial symmetry. I move on to discuss sigma models and arrive at a basic chiral perturbation theory.
| Identifer | oai:union.ndltd.org:bl.uk/oai:ethos.bl.uk:635795 |
| Date | January 2004 |
| Creators | Armour, W. |
| Publisher | Swansea University |
| Source Sets | Ethos UK |
| Detected Language | English |
| Type | Electronic Thesis or Dissertation |
| Source | https://cronfa.swan.ac.uk/Record/cronfa42952 |
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