Calculation of the axial charge of a heavy nucleon in Lattice QCD
Thesis: S.B., Massachusetts Institute of Technology, Department of Physics, 2016. === Cataloged from PDF version of thesis. === Includes bibliographical references (pages 55-57). === In this thesis, we aim to calculate the non-renormalized axial charge gA of a heavy nucleon made out of quarks at the...
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ndltd-MIT-oai-dspace.mit.edu-1721.1-1118902019-05-02T15:46:13Z Calculation of the axial charge of a heavy nucleon in Lattice QCD Pefkou, Dimitra Anastasia William Detmold. Massachusetts Institute of Technology. Department of Physics. Massachusetts Institute of Technology. Department of Physics. Physics. Thesis: S.B., Massachusetts Institute of Technology, Department of Physics, 2016. Cataloged from PDF version of thesis. Includes bibliographical references (pages 55-57). In this thesis, we aim to calculate the non-renormalized axial charge gA of a heavy nucleon made out of quarks at the physical mass of the strange quark. We present the framework of Lattice QCD which makes the calculation of such observables attainable from first principles. The data used for the estimation of gA were obtained on a 243 x64 hypercubic lattice with lattice spacing a ~ 0.12 fm and pion mass m[pi] = 0.450 GeV. Three different source-sink seperations were used, tsink = [12a, 14a, 16a]. For each timeslice seperation signal we perform a correlated x2 fit and obtain the following values for gA: 0.551, 0.564 and 0.556. The unrenormalized value value for gA is extracted taking the limit as tsink --> [infinity] and is shown to be gA = 0.558. We discuss how the accuracy of this result is compromised by the small number of tsink values, by excited state contamination and by the increase of statistical noise with time. by Dimitra Anastasia Pefkou. S.B. 2017-10-18T15:08:46Z 2017-10-18T15:08:46Z 2016 2016 Thesis http://hdl.handle.net/1721.1/111890 1005078927 eng MIT theses are protected by copyright. They may be viewed, downloaded, or printed from this source but further reproduction or distribution in any format is prohibited without written permission. http://dspace.mit.edu/handle/1721.1/7582 pages application/pdf Massachusetts Institute of Technology |
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Physics. Pefkou, Dimitra Anastasia Calculation of the axial charge of a heavy nucleon in Lattice QCD |
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Thesis: S.B., Massachusetts Institute of Technology, Department of Physics, 2016. === Cataloged from PDF version of thesis. === Includes bibliographical references (pages 55-57). === In this thesis, we aim to calculate the non-renormalized axial charge gA of a heavy nucleon made out of quarks at the physical mass of the strange quark. We present the framework of Lattice QCD which makes the calculation of such observables attainable from first principles. The data used for the estimation of gA were obtained on a 243 x64 hypercubic lattice with lattice spacing a ~ 0.12 fm and pion mass m[pi] = 0.450 GeV. Three different source-sink seperations were used, tsink = [12a, 14a, 16a]. For each timeslice seperation signal we perform a correlated x2 fit and obtain the following values for gA: 0.551, 0.564 and 0.556. The unrenormalized value value for gA is extracted taking the limit as tsink --> [infinity] and is shown to be gA = 0.558. We discuss how the accuracy of this result is compromised by the small number of tsink values, by excited state contamination and by the increase of statistical noise with time. === by Dimitra Anastasia Pefkou. === S.B. |
author2 |
William Detmold. |
author_facet |
William Detmold. Pefkou, Dimitra Anastasia |
author |
Pefkou, Dimitra Anastasia |
author_sort |
Pefkou, Dimitra Anastasia |
title |
Calculation of the axial charge of a heavy nucleon in Lattice QCD |
title_short |
Calculation of the axial charge of a heavy nucleon in Lattice QCD |
title_full |
Calculation of the axial charge of a heavy nucleon in Lattice QCD |
title_fullStr |
Calculation of the axial charge of a heavy nucleon in Lattice QCD |
title_full_unstemmed |
Calculation of the axial charge of a heavy nucleon in Lattice QCD |
title_sort |
calculation of the axial charge of a heavy nucleon in lattice qcd |
publisher |
Massachusetts Institute of Technology |
publishDate |
2017 |
url |
http://hdl.handle.net/1721.1/111890 |
work_keys_str_mv |
AT pefkoudimitraanastasia calculationoftheaxialchargeofaheavynucleoninlatticeqcd |
_version_ |
1719027572801536000 |