Influence of topology on fermionic zero-modes in lattice gauge theory
A way to identify the would-be zero-modes of staggered lattice fermions away from the continuum limit is presented. The idea, which is to consider the spectral flow of a certain Hermitian version of the staggered Dirac operator, is developed and discussed. The influence of topology on zero-modes of...
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| Format: | Thesis |
| Language: | English |
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2010
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| Online Access: | http://hdl.handle.net/10356/40756 |
| _version_ | 1811679100167782400 |
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| author | Petrashyk, Andriy |
| author2 | School of Physical and Mathematical Sciences |
| author_facet | School of Physical and Mathematical Sciences Petrashyk, Andriy |
| author_sort | Petrashyk, Andriy |
| collection | NTU |
| description | A way to identify the would-be zero-modes of staggered lattice fermions away from the continuum limit is presented. The idea, which is to consider the spectral flow of a certain Hermitian version of the staggered Dirac operator, is developed and discussed. The influence of topology on zero-modes of staggered lattice fermions is numerically investigated in 4 dimensions for U(1) gauge fields. The staggered fermion index obtained is shown to be determined by the underlying gauge field topology in accordance with the Atiyah-Singer Index theorem. It is also found to perform as well as the Wilson index, while being computationally more efficient. |
| first_indexed | 2024-10-01T03:03:47Z |
| format | Thesis |
| id | ntu-10356/40756 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T03:03:47Z |
| publishDate | 2010 |
| record_format | dspace |
| spelling | ntu-10356/407562023-02-28T23:34:50Z Influence of topology on fermionic zero-modes in lattice gauge theory Petrashyk, Andriy School of Physical and Mathematical Sciences David Henry Adams DRNTU::Science::Mathematics::Topology DRNTU::Science::Physics::Nuclear and particle physics A way to identify the would-be zero-modes of staggered lattice fermions away from the continuum limit is presented. The idea, which is to consider the spectral flow of a certain Hermitian version of the staggered Dirac operator, is developed and discussed. The influence of topology on zero-modes of staggered lattice fermions is numerically investigated in 4 dimensions for U(1) gauge fields. The staggered fermion index obtained is shown to be determined by the underlying gauge field topology in accordance with the Atiyah-Singer Index theorem. It is also found to perform as well as the Wilson index, while being computationally more efficient. Doctor of Philosophy (SPMS) 2010-06-21T07:09:42Z 2010-06-21T07:09:42Z 2010 2010 Thesis http://hdl.handle.net/10356/40756 en 80 p. application/pdf |
| spellingShingle | DRNTU::Science::Mathematics::Topology DRNTU::Science::Physics::Nuclear and particle physics Petrashyk, Andriy Influence of topology on fermionic zero-modes in lattice gauge theory |
| title | Influence of topology on fermionic zero-modes in lattice gauge theory |
| title_full | Influence of topology on fermionic zero-modes in lattice gauge theory |
| title_fullStr | Influence of topology on fermionic zero-modes in lattice gauge theory |
| title_full_unstemmed | Influence of topology on fermionic zero-modes in lattice gauge theory |
| title_short | Influence of topology on fermionic zero-modes in lattice gauge theory |
| title_sort | influence of topology on fermionic zero modes in lattice gauge theory |
| topic | DRNTU::Science::Mathematics::Topology DRNTU::Science::Physics::Nuclear and particle physics |
| url | http://hdl.handle.net/10356/40756 |
| work_keys_str_mv | AT petrashykandriy influenceoftopologyonfermioniczeromodesinlatticegaugetheory |