Theoretical and computational aspects of new lattice fermion formulations
In this work we investigate theoretical and computational aspects of novel lattice fermion formulations for the simulation of lattice gauge theories. The lattice approach to quantum gauge theories is an important tool for studying quantum chromodynamics, where it is the only known framework for calc...
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| Format: | Thesis |
| Language: | English |
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2017
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| Online Access: | http://hdl.handle.net/10356/69600 |
| _version_ | 1826115508912521216 |
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| author | Zielinski, Christian |
| author2 | Wang Li-Lian |
| author_facet | Wang Li-Lian Zielinski, Christian |
| author_sort | Zielinski, Christian |
| collection | NTU |
| description | In this work we investigate theoretical and computational aspects of novel lattice fermion formulations for the simulation of lattice gauge theories. The lattice approach to quantum gauge theories is an important tool for studying quantum chromodynamics, where it is the only known framework for calculating physical observables from first principles. In our investigations we focus on staggered Wilson fermions and the related staggered domain wall and staggered overlap formulations. Originally proposed by Adams, these new fermion discretizations bear the potential to reduce the computational costs of state-of-the-art Monte Carlo simulations. Staggered Wilson fermions combine aspects of both staggered and Wilson fermions while having a reduced number of fermion doublers compared to usual staggered fermions. Moreover, they can be used as a kernel operator for the domain wall fermion construction with potentially significantly improved chiral properties and for the overlap operator with its exact chiral symmetry. This allows the implementation of chirality on the lattice in a controlled manner at potentially significantly reduced costs. The practical potential and limitations of these new lattice fermions are also critically discussed. |
| first_indexed | 2024-10-01T03:56:18Z |
| format | Thesis |
| id | ntu-10356/69600 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T03:56:18Z |
| publishDate | 2017 |
| record_format | dspace |
| spelling | ntu-10356/696002023-02-28T23:38:14Z Theoretical and computational aspects of new lattice fermion formulations Zielinski, Christian Wang Li-Lian School of Physical and Mathematical Sciences University of Wuppertal, Germany DRNTU::Science::Mathematics::Applied mathematics::Numerical analysis DRNTU::Science::Physics::Nuclear and particle physics In this work we investigate theoretical and computational aspects of novel lattice fermion formulations for the simulation of lattice gauge theories. The lattice approach to quantum gauge theories is an important tool for studying quantum chromodynamics, where it is the only known framework for calculating physical observables from first principles. In our investigations we focus on staggered Wilson fermions and the related staggered domain wall and staggered overlap formulations. Originally proposed by Adams, these new fermion discretizations bear the potential to reduce the computational costs of state-of-the-art Monte Carlo simulations. Staggered Wilson fermions combine aspects of both staggered and Wilson fermions while having a reduced number of fermion doublers compared to usual staggered fermions. Moreover, they can be used as a kernel operator for the domain wall fermion construction with potentially significantly improved chiral properties and for the overlap operator with its exact chiral symmetry. This allows the implementation of chirality on the lattice in a controlled manner at potentially significantly reduced costs. The practical potential and limitations of these new lattice fermions are also critically discussed. Doctor of Philosophy (SPMS) 2017-02-28T06:28:56Z 2017-02-28T06:28:56Z 2017 Thesis Zielinski, C. (2017). Theoretical and computational aspects of new lattice fermion formulations. Doctoral thesis, Nanyang Technological University, Singapore. http://hdl.handle.net/10356/69600 10.32657/10356/69600 en 160 p. application/pdf |
| spellingShingle | DRNTU::Science::Mathematics::Applied mathematics::Numerical analysis DRNTU::Science::Physics::Nuclear and particle physics Zielinski, Christian Theoretical and computational aspects of new lattice fermion formulations |
| title | Theoretical and computational aspects of new lattice fermion formulations |
| title_full | Theoretical and computational aspects of new lattice fermion formulations |
| title_fullStr | Theoretical and computational aspects of new lattice fermion formulations |
| title_full_unstemmed | Theoretical and computational aspects of new lattice fermion formulations |
| title_short | Theoretical and computational aspects of new lattice fermion formulations |
| title_sort | theoretical and computational aspects of new lattice fermion formulations |
| topic | DRNTU::Science::Mathematics::Applied mathematics::Numerical analysis DRNTU::Science::Physics::Nuclear and particle physics |
| url | http://hdl.handle.net/10356/69600 |
| work_keys_str_mv | AT zielinskichristian theoreticalandcomputationalaspectsofnewlatticefermionformulations |