Topological Charge Screening and the "Proton Spin" Beyond the Chiral Limit

The theory of the `proton spin' effect proposed in our earlier papers is extended to include the chiral SU(3) symmetry breaking and flavour mixing induced by non-vanishing quark masses in QCD. The theoretical basis is the derivation of exact, unified Goldberger-Treiman (GT) relations valid beyo...

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Detalles Bibliográficos
Autores principales: Narison, Stephan, Shore, G.M., Veneziano, G.
Lenguaje:eng
Publicado: 1998
Materias:
Particle Physics - Phenomenology
Acceso en línea:https://dx.doi.org/10.1016/S0550-3213(99)00061-9
http://cds.cern.ch/record/374187
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author Narison, Stephan
Shore, G.M.
Veneziano, G.
author_facet Narison, Stephan
Shore, G.M.
Veneziano, G.
author_sort Narison, Stephan
collection CERN
description The theory of the `proton spin' effect proposed in our earlier papers is extended to include the chiral SU(3) symmetry breaking and flavour mixing induced by non-vanishing quark masses in QCD. The theoretical basis is the derivation of exact, unified Goldberger-Treiman (GT) relations valid beyond the chiral limit. The observed suppression in the flavour singlet axial charge $a^0(Q^2)$ is explained by an anomalously small value for the slope of the singlet current correlation function $<0|T~\pl^\m J_{\m 5}^0 ~ \pl^\n J_{\n 5}^0 |0>$, a consequence of the screening of topological charge in the QCD vacuum. Numerical predictions are obtained by evaluating the current correlation functions using QCD spectral sum rules. The results, $a^0(Q^2) = 0.31 \pm 0.02$ and $\int dx ~g_1^p(x,Q^2) = 0.141 \pm 0.005$ (at $Q^2=10 polarised proton structure function $g_1^p$.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1998
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spelling cern-3741872021-09-19T13:39:31Zdoi:10.1016/S0550-3213(99)00061-9http://cds.cern.ch/record/374187engNarison, StephanShore, G.M.Veneziano, G.Topological Charge Screening and the "Proton Spin" Beyond the Chiral LimitParticle Physics - PhenomenologyThe theory of the `proton spin' effect proposed in our earlier papers is extended to include the chiral SU(3) symmetry breaking and flavour mixing induced by non-vanishing quark masses in QCD. The theoretical basis is the derivation of exact, unified Goldberger-Treiman (GT) relations valid beyond the chiral limit. The observed suppression in the flavour singlet axial charge $a^0(Q^2)$ is explained by an anomalously small value for the slope of the singlet current correlation function $<0|T~\pl^\m J_{\m 5}^0 ~ \pl^\n J_{\n 5}^0 |0>$, a consequence of the screening of topological charge in the QCD vacuum. Numerical predictions are obtained by evaluating the current correlation functions using QCD spectral sum rules. The results, $a^0(Q^2) = 0.31 \pm 0.02$ and $\int dx ~g_1^p(x,Q^2) = 0.141 \pm 0.005$ (at $Q^2=10 polarised proton structure function $g_1^p$.The theory of the `proton spin' effect proposed in our earlier papers is extended to include the chiral SU(3) symmetry breaking and flavour mixing induced by non-vanishing quark masses in QCD. The theoretical basis is the derivation of exact, unified Goldberger-Treiman (GT) relations valid beyond the chiral limit. The observed suppression in the flavour singlet axial charge $a^0(Q^2)$ is explained by an anomalously small value for the slope of the singlet current correlation function $<0|T~\pl^\m J_{\m 5}^0 ~ \pl^\n J_{\n 5}^0 |0>$, a consequence of the screening of topological charge in the QCD vacuum. Numerical predictions are obtained by evaluating the current correlation functions using QCD spectral sum rules. The results, $a^0(Q^2) = 0.31 \pm 0.02$ and $\int dx ~g_1^p(x,Q^2) = 0.141 \pm 0.005$ (at $Q^2=10 \~\GV^2$), are in good agreement with current experimental data on the polarised proton structure function $g_1^p$.The theory of the `proton spin' effect proposed in our earlier papers is extended to include the chiral SU(3) symmetry breaking and flavour mixing induced by non-vanishing quark masses in QCD. The theoretical basis is the derivation of exact, unified Goldberger-Treiman (GT) relations valid beyond the chiral limit. The observed suppression in the flavour singlet axial charge $a^0(Q^2)$ is explained by an anomalously small value for the slope of the singlet current correlation function $<0|T~\pl^\m J_{\m 5}^0 ~ \pl^\n J_{\n 5}^0 |0>$, a consequence of the screening of topological charge in the QCD vacuum. Numerical predictions are obtained by evaluating the current correlation functions using QCD spectral sum rules. The results, $a^0(Q^2) = 0.31 \pm 0.02$ and $\int dx ~g_1^p(x,Q^2) = 0.141 \pm 0.005$ (at $Q^2=10 \~\GV^2$), are in good agreement with current experimental data on the polarised proton structure function $g_1^p$.The theory of the `proton spin' effect proposed in our earlier papers is extended to include the chiral SU(3) symmetry breaking and flavour mixing induced by non-vanishing quark masses in QCD. The theoretical basis is the derivation of exact, unified Goldberger-Treiman (GT) relations valid beyond the chiral limit. The observed suppression in the flavour singlet axial charge $a^0(Q^2)$ is explained by an anomalously small value for the slope of the singlet current correlation function $<0|T~\pl^\m J_{\m 5}^0 ~ \pl^\n J_{\n 5}^0 |0>$, a consequence of the screening of topological charge in the QCD vacuum. Numerical predictions are obtained by evaluating the current correlation functions using QCD spectral sum rules. The results, $a^0(Q^2) = 0.31 \pm 0.02$ and $\int dx ~g_1^p(x,Q^2) = 0.141 \pm 0.005$ (at $Q^2=10 \~\GV^2$), are in good agreement with current experimental data on the polarised proton structure function $g_1^p$.The theory of the ‘proton spin’ effect proposed in our earlier papers is extended to include the chiral SU (3) symmetry breaking and flavour mixing induced by non-vanishing quark masses in QCD. The theoretical basis is the derivation of exact, unified Goldberger-Treiman (GT) relations valid beyond the chiral limit. The observed suppression in the flavour singlet axial charge a 0 ( Q 2 ) is explained by an anomalously small value for the slope of the singlet current correlation function 〈0| T ϖ μ J μ 5 0 ϖ ν J ν 5 0 |0〉, a consequence of the screening of topological charge i QCD vacuum. Numerical predictions are obtained by evaluating the current correlation functions using QCD spectral sum rules. The results, a 0 ( Q 2 ) = 0.31 ± 0.02 and ∫ dx g 1 p ( x , Q 2 ) = 0.141 ± 0.005 (at Q 2 = 10 GeV 2 ), are in good agreement with current experimental data on the polarised proton structure function g 1 p .hep-ph/9812333CERN-TH-98-385PM-98-37SWAT-98-208CERN-TH-98-385PM-98-37SWAT-208oai:cds.cern.ch:3741871998-12-14
spellingShingle Particle Physics - Phenomenology
Narison, Stephan
Shore, G.M.
Veneziano, G.
Topological Charge Screening and the "Proton Spin" Beyond the Chiral Limit
title Topological Charge Screening and the "Proton Spin" Beyond the Chiral Limit
title_full Topological Charge Screening and the "Proton Spin" Beyond the Chiral Limit
title_fullStr Topological Charge Screening and the "Proton Spin" Beyond the Chiral Limit
title_full_unstemmed Topological Charge Screening and the "Proton Spin" Beyond the Chiral Limit
title_short Topological Charge Screening and the "Proton Spin" Beyond the Chiral Limit
title_sort topological charge screening and the "proton spin" beyond the chiral limit
topic Particle Physics - Phenomenology
url https://dx.doi.org/10.1016/S0550-3213(99)00061-9
http://cds.cern.ch/record/374187
work_keys_str_mv AT narisonstephan topologicalchargescreeningandtheprotonspinbeyondthechirallimit
AT shoregm topologicalchargescreeningandtheprotonspinbeyondthechirallimit
AT venezianog topologicalchargescreeningandtheprotonspinbeyondthechirallimit

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