2014/05/01 by Jonathan M. M. Hall, Jonathan M M Hall, Hall, Jonathan M M
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #Quantum, superfluid, helium dynamics #hep-lat
paper · pdf · doi:10.48550/arxiv.1405.1442
First-class Honours thesis (Mathematical Physics), 2007
arxiv created 2014/05/01 · openalex publication_date 2014/05/01 · arxiv updated 2014/05/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A brief overview of Quantum Chromodynamics (QCD) as a non-Abelian gauge field theory, including symmetries and formalism of interest, will precede a focused discussion on the use of an Effective Field Theory (EFT) as a low energy perturbative expansion technique. Regularization schemes involved in Chiral Perturbation Theory (\chiPT) will be reviewed and compared with EFT. Lattices will be discussed as a useful procedure for studying large mass particles. An Effective Field Theory will be formulated, and the self energy of the \rho meson for a Finite-Range Regulated (FRR) theory will be calculated. This will be performed in both full QCD and the simpler quenched approximation (QQCD). Finite-volume artefacts, due to the finite box size on the lattice, will be quantified. Currently known lattice results will be used to calculate the \rho meson mass, and the possibility of unquenching will be explored. The aim of the research was to determine whether a stable unquenching procedure for the \rho meson could be discovered. The results from the original research indicate that there is no such procedure because the \rho mesons are unstable. Unless additional data involving lighter quark masses is available, an element of modelling is needed for successful unquenching.