Journal article 844 views
The gauge-invariant angular momentum sum-rule for the proton
B.E. White,
Graham Shore
Nuclear Physics B, Volume: "B581", Issue: 1-2, Pages: 409 - 431
Swansea University Author: Graham Shore
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DOI (Published version): 10.1016/S0550-3213(00)00288-1
Abstract
We give a gauge-invariant treatment of the angular momentum sum-rule for the proton in terms of matrix elements of three gauge-invariant, local composite operators. These matrix elements are decomposed into three independent form factors, one of which is the flavour singlet axial charge. The other t...
Published in: | Nuclear Physics B |
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ISSN: | 05503213 |
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1999
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URI: | https://cronfa.swan.ac.uk/Record/cronfa31899 |
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2017-02-09T13:49:15.2348198 v2 31899 2017-02-09 The gauge-invariant angular momentum sum-rule for the proton 28a24f55687c82d6f3ee378ead3cf234 Graham Shore Graham Shore true false 2017-02-09 FGSEN We give a gauge-invariant treatment of the angular momentum sum-rule for the proton in terms of matrix elements of three gauge-invariant, local composite operators. These matrix elements are decomposed into three independent form factors, one of which is the flavour singlet axial charge. The other two are interpreted as total quark and gluon angular momentum. We further show that the axial charge cancels out of the sum-rule. The general form of the renormalisation mixing of the three operators is written down and also determined to one loop from which the scale dependence and mixing of the form factors is derived. We relate these results to a previous parton model calculation by defining the parton model quantities in terms of the three form factors. We also mention how the form factors can be measured in Journal Article Nuclear Physics B "B581" 1-2 409 431 05503213 31 12 1999 1999-12-31 10.1016/S0550-3213(00)00288-1 http://inspirehep.net/record/511545 COLLEGE NANME Science and Engineering - Faculty COLLEGE CODE FGSEN Swansea University 2017-02-09T13:49:15.2348198 2017-02-09T13:49:14.8604403 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics B.E. White 1 Graham Shore 2 |
title |
The gauge-invariant angular momentum sum-rule for the proton |
spellingShingle |
The gauge-invariant angular momentum sum-rule for the proton Graham Shore |
title_short |
The gauge-invariant angular momentum sum-rule for the proton |
title_full |
The gauge-invariant angular momentum sum-rule for the proton |
title_fullStr |
The gauge-invariant angular momentum sum-rule for the proton |
title_full_unstemmed |
The gauge-invariant angular momentum sum-rule for the proton |
title_sort |
The gauge-invariant angular momentum sum-rule for the proton |
author_id_str_mv |
28a24f55687c82d6f3ee378ead3cf234 |
author_id_fullname_str_mv |
28a24f55687c82d6f3ee378ead3cf234_***_Graham Shore |
author |
Graham Shore |
author2 |
B.E. White Graham Shore |
format |
Journal article |
container_title |
Nuclear Physics B |
container_volume |
"B581" |
container_issue |
1-2 |
container_start_page |
409 |
publishDate |
1999 |
institution |
Swansea University |
issn |
05503213 |
doi_str_mv |
10.1016/S0550-3213(00)00288-1 |
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 |
url |
http://inspirehep.net/record/511545 |
document_store_str |
0 |
active_str |
0 |
description |
We give a gauge-invariant treatment of the angular momentum sum-rule for the proton in terms of matrix elements of three gauge-invariant, local composite operators. These matrix elements are decomposed into three independent form factors, one of which is the flavour singlet axial charge. The other two are interpreted as total quark and gluon angular momentum. We further show that the axial charge cancels out of the sum-rule. The general form of the renormalisation mixing of the three operators is written down and also determined to one loop from which the scale dependence and mixing of the form factors is derived. We relate these results to a previous parton model calculation by defining the parton model quantities in terms of the three form factors. We also mention how the form factors can be measured in |
published_date |
1999-12-31T03:39:01Z |
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1763751746457305088 |
score |
11.016235 |