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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...

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Published in: Nuclear Physics B
ISSN: 05503213
Published: 1999
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URI: https://cronfa.swan.ac.uk/Record/cronfa31899
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last_indexed 2018-02-09T05:19:14Z
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spelling 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
_version_ 1763751746457305088
score 11.013148

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