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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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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
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa31899
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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 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
College: College of Science
Issue: 1-2
Start Page: 409
End Page: 431