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Non-zero temperature charmonium potentials from the lattice. / P. Wynne M Evans

Swansea University Author: P. Wynne M Evans

Abstract

A reliable calculation of the charmonium potential at non-zero temperature from first principles is required as part of a wider effort to understand the phase transition of hadronic matter to quark-gluon plasma at high temperature. The interquark potential inside hot matter produced in heavy ion col...

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Published: 2014
Institution: Swansea University
Degree level: Doctoral
Degree name: Ph.D
URI: https://cronfa.swan.ac.uk/Record/cronfa42456
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first_indexed 2018-08-02T18:54:45Z
last_indexed 2018-08-03T10:10:12Z
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spelling 2018-08-02T16:24:29.3065948 v2 42456 2018-08-02 Non-zero temperature charmonium potentials from the lattice. 229715eacbf9af49e71e849f9b420b30 NULL P. Wynne M Evans P. Wynne M Evans true true 2018-08-02 A reliable calculation of the charmonium potential at non-zero temperature from first principles is required as part of a wider effort to understand the phase transition of hadronic matter to quark-gluon plasma at high temperature. The interquark potential inside hot matter produced in heavy ion collisions can not be measured directly. Therefore the precise role of the intcrquark potential in quark-gluon plasma formation can currently only be determined through a reliable theoretical calculation. In this thesis charmonium potentials are obtained from dynamical lattice simulations of quantum chromodynamics by analysing correlators using two different approaches; i) conventional fitting - correlators are fitted in the conventional manner familiar from hadron spectroscopy on the lattice; ii) the HAL QCD time-dependent method - a novel technique borrowed from nuclear physics is used to derive an expression for the potential directly in terms of the correlators. Recent lattice QCD studies relevant to the charmonium potential fall into two categories: i) non-zero temperature studies of the static quark potential; ii) zero temperature studios with i)hysical charm masses. The results presented in this thesis are novel because they are from a study of the charnionium potential using physical charm masses at non-zero temperature. The charmonium potential obtained from conventional fitting is found to be temperature dependent, as the temperature increases, the potential flattens. However the method suffers from certain reliability issues. The time-dependent method is found to be more suitable than conventional fitting for studying the interquark potential at high temperature. Using the time-dependent method the charmonium potential between 0.76Tc and 1.09Tc is found to be temperature dependent. The result is reliable and shows the potential flattening as the temperature increases, which is consistent with the expectation that at high temperature the interquark potential becomes colour-Debye screened. Extracting the potential from temperatures higher than 1.09Tc would have led to unreliable results, but this limit is specific to the configurations used and not the method itself. The study shows that if configurations are generated with the time-dependent method in mind, then it can be used to extract the charmonium potential at temperatures higher than 1.09Tc. E-Thesis Theoretical physics. 31 12 2014 2014-12-31 COLLEGE NANME Physics COLLEGE CODE Swansea University Doctoral Ph.D 2018-08-02T16:24:29.3065948 2018-08-02T16:24:29.3065948 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics P. Wynne M Evans NULL 1 0042456-02082018162455.pdf 10798164.pdf 2018-08-02T16:24:55.8570000 Output 11471245 application/pdf E-Thesis true 2018-08-02T16:24:55.8570000 false
title Non-zero temperature charmonium potentials from the lattice.
spellingShingle Non-zero temperature charmonium potentials from the lattice.
P. Wynne M Evans
title_short Non-zero temperature charmonium potentials from the lattice.
title_full Non-zero temperature charmonium potentials from the lattice.
title_fullStr Non-zero temperature charmonium potentials from the lattice.
title_full_unstemmed Non-zero temperature charmonium potentials from the lattice.
title_sort Non-zero temperature charmonium potentials from the lattice.
author_id_str_mv 229715eacbf9af49e71e849f9b420b30
author_id_fullname_str_mv 229715eacbf9af49e71e849f9b420b30_***_P. Wynne M Evans
author P. Wynne M Evans
author2 P. Wynne M Evans
format E-Thesis
publishDate 2014
institution Swansea University
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Biosciences, Geography and Physics - Physics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Biosciences, Geography and Physics - Physics
document_store_str 1
active_str 0
description A reliable calculation of the charmonium potential at non-zero temperature from first principles is required as part of a wider effort to understand the phase transition of hadronic matter to quark-gluon plasma at high temperature. The interquark potential inside hot matter produced in heavy ion collisions can not be measured directly. Therefore the precise role of the intcrquark potential in quark-gluon plasma formation can currently only be determined through a reliable theoretical calculation. In this thesis charmonium potentials are obtained from dynamical lattice simulations of quantum chromodynamics by analysing correlators using two different approaches; i) conventional fitting - correlators are fitted in the conventional manner familiar from hadron spectroscopy on the lattice; ii) the HAL QCD time-dependent method - a novel technique borrowed from nuclear physics is used to derive an expression for the potential directly in terms of the correlators. Recent lattice QCD studies relevant to the charmonium potential fall into two categories: i) non-zero temperature studies of the static quark potential; ii) zero temperature studios with i)hysical charm masses. The results presented in this thesis are novel because they are from a study of the charnionium potential using physical charm masses at non-zero temperature. The charmonium potential obtained from conventional fitting is found to be temperature dependent, as the temperature increases, the potential flattens. However the method suffers from certain reliability issues. The time-dependent method is found to be more suitable than conventional fitting for studying the interquark potential at high temperature. Using the time-dependent method the charmonium potential between 0.76Tc and 1.09Tc is found to be temperature dependent. The result is reliable and shows the potential flattening as the temperature increases, which is consistent with the expectation that at high temperature the interquark potential becomes colour-Debye screened. Extracting the potential from temperatures higher than 1.09Tc would have led to unreliable results, but this limit is specific to the configurations used and not the method itself. The study shows that if configurations are generated with the time-dependent method in mind, then it can be used to extract the charmonium potential at temperatures higher than 1.09Tc.
published_date 2014-12-31T03:53:00Z
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score 11.016235

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