Bosch, David (2020) Glueball Spectroscopy on a Lattice. Master's Thesis / Essay, Physics.
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Abstract
Lattice quantum chromodynamics (LQCD) has been used to determine the mass of glueball particles since the 1970s. Since then a number of techniques have been developed to reduce the variance of the measured operators. This thesis discusses QCD and LQCD, then shows how the euclidean two-point correlators of the linear combinations of closed Wilson loops on the lattice may be used to determine glueball masses. The algorithms for updating the lattice (psuedo-heatbath), decorrelating configurations (overrelaxation), and reducing variance; multihit, multilevel, variational method are described. Using software in part written by the author the 0++ glueball mass is determined on SU(2) using the variance reducing algorithms. The algorithms are compared in terms of accuracy and computational time complexity. This thesis also serves as a validation for the software, so that it may be used for SU(8) glueball mass calculations in the future research to examine the validity of QCD solutions in the large N ’t Hooft limit.
| Item Type: | Thesis (Master's Thesis / Essay) |
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| Supervisor name: | Pallante, E. |
| Degree programme: | Physics |
| Thesis type: | Master's Thesis / Essay |
| Language: | English |
| Date Deposited: | 04 Jun 2020 11:22 |
| Last Modified: | 04 Jun 2020 11:22 |
| URI: | https://fse.studenttheses.ub.rug.nl/id/eprint/22015 |
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