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Lattice QCD with chirally invariant fermions
Krzysztof Michał Cichy
Abstract
The aim of this thesis was to investigate the mixed action setup of overlap valence and twisted mass sea quarks in Lattice QCD. This allowed to specify the regime of parameter values (i.e. lattice volume and pion mass) that allow to perform safe mixed-action simulations. In Chapter 1, theoretical principles of Lattice QCD are reviewed. The continuum QCD Lagrangian is introduced and its symmetries, in particular chiral symmetry, are discussed. Next, we show how the continuum theory is discretized and we introduce different fermion discretizations. Chapter 2 presents the results of a lattice spacing scaling test of different fermions at tree-level of perturbation theory. In Chapter 3 we discuss some of the technical details of QCD simulations. We review the HMC algorithm and the techniques used to effectively deal with overlap fermions. The main results of the thesis are reported in Chapter 4. The motivation and the general idea of a mixed action simulation are discussed. Then, a continuum limit scaling test of the pion decay constant is performed and the analysis of the role of chiral zero modes of the overlap operator is performed. In Chapter 5 we discuss some further results, including the unitarity violations present in the mixed action setup, light baryon masses computation and some topological aspects that can be probed with overlap fermions.- Record ID
- UAM02bdd59190ed4740b464be62f40f001f
- Diploma type
- Doctor of Philosophy
- Author
- Title in Polish
- Chromodynamika kwantowa na sieci z chiralnie niezmienniczymi fermionami
- Title in English
- Lattice QCD with chirally invariant fermions
- Language
- (en) English
- Certifying Unit
- Faculty of Physics (SNŚ/WyF/FoP)
- Discipline
- physics / (physical sciences domain) / (physical sciences)
- Scientific discipline (2.0)
- Status
- Finished
- Defense Date
- 15-10-2010
- Title date
- 15-10-2010
- Supervisor
- URL
- http://hdl.handle.net/10593/614 Opening in a new tab
- Keywords in English
- Lattice QCD, Chiral symmetry, Overlap discretization Twisted mass discretization
- Abstract in English
- The aim of this thesis was to investigate the mixed action setup of overlap valence and twisted mass sea quarks in Lattice QCD. This allowed to specify the regime of parameter values (i.e. lattice volume and pion mass) that allow to perform safe mixed-action simulations. In Chapter 1, theoretical principles of Lattice QCD are reviewed. The continuum QCD Lagrangian is introduced and its symmetries, in particular chiral symmetry, are discussed. Next, we show how the continuum theory is discretized and we introduce different fermion discretizations. Chapter 2 presents the results of a lattice spacing scaling test of different fermions at tree-level of perturbation theory. In Chapter 3 we discuss some of the technical details of QCD simulations. We review the HMC algorithm and the techniques used to effectively deal with overlap fermions. The main results of the thesis are reported in Chapter 4. The motivation and the general idea of a mixed action simulation are discussed. Then, a continuum limit scaling test of the pion decay constant is performed and the analysis of the role of chiral zero modes of the overlap operator is performed. In Chapter 5 we discuss some further results, including the unitarity violations present in the mixed action setup, light baryon masses computation and some topological aspects that can be probed with overlap fermions.
- Thesis file
-
- File: 1
- Lattice QCD with chirally invariant fermions, File Cichy_PhD.pdf / 1 MB
- Cichy_PhD.pdf
- publication date: 20-12-2019
- Lattice QCD with chirally invariant fermions, File Cichy_PhD.pdf / 1 MB
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- Uniform Resource Identifier
- https://researchportal.amu.edu.pl/info/phd/UAM02bdd59190ed4740b464be62f40f001f/
- URN
urn:amu-prod:UAM02bdd59190ed4740b464be62f40f001f