Book chapter 934 views
U_A(1) problems and gluon topology: Anomalous symmetry in QCD
Graham Shore
Hidden Symmetries and Higgs Phenomena. Proceedings,Zuoz 1998, Pages: 201 - 223
Swansea University Author: Graham Shore
Abstract
Many of the distinctive and subtle features of the dynamics in the UA(1) channel in QCD can be related to gluon topology, more precisely to the topological susceptibility χ(k^2) = i \int d^4x e^ikx⟨0|T Q(x) Q(0)|0⟩, where Q = α_s trGμνG ̃μν is the gluon topological charge density. The link is the UA...
| Published in: | Hidden Symmetries and Higgs Phenomena. Proceedings,Zuoz 1998 |
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| Published: |
1998
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https://arxiv.org/abs/hep-ph/9812354v1 |
| URI: | https://cronfa.swan.ac.uk/Record/cronfa32021 |
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2017-02-20T22:04:37.4476876 v2 32021 2017-02-20 U_A(1) problems and gluon topology: Anomalous symmetry in QCD 28a24f55687c82d6f3ee378ead3cf234 Graham Shore Graham Shore true false 2017-02-20 FGSEN Many of the distinctive and subtle features of the dynamics in the UA(1) channel in QCD can be related to gluon topology, more precisely to the topological susceptibility χ(k^2) = i \int d^4x e^ikx⟨0|T Q(x) Q(0)|0⟩, where Q = α_s trGμνG ̃μν is the gluon topological charge density. The link is the UA(1) axial (ABJ) anomaly. In this lecture, we describe the anomalous UA(1) chiral Ward identities in a functional formalism and show how two apparently unrelated ‘UA(1) problems’ – the mass of the η′ and the violation of the Ellis- Jaffe sum rule in polarised deep-inelastic scattering – can be explained in terms of the gluon topological susceptibility. They are related through a UA(1) extension of the Goldberger- Treiman formula, which is derived here for QCD with both massless and massive quarks. Book chapter Hidden Symmetries and Higgs Phenomena. Proceedings,Zuoz 1998 201 223 14 12 1998 1998-12-14 https://arxiv.org/abs/hep-ph/9812354v1 COLLEGE NANME Science and Engineering - Faculty COLLEGE CODE FGSEN Swansea University 2017-02-20T22:04:37.4476876 2017-02-20T21:42:42.3291495 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Graham Shore 1 |
| title |
U_A(1) problems and gluon topology: Anomalous symmetry in QCD |
| spellingShingle |
U_A(1) problems and gluon topology: Anomalous symmetry in QCD Graham Shore |
| title_short |
U_A(1) problems and gluon topology: Anomalous symmetry in QCD |
| title_full |
U_A(1) problems and gluon topology: Anomalous symmetry in QCD |
| title_fullStr |
U_A(1) problems and gluon topology: Anomalous symmetry in QCD |
| title_full_unstemmed |
U_A(1) problems and gluon topology: Anomalous symmetry in QCD |
| title_sort |
U_A(1) problems and gluon topology: Anomalous symmetry in QCD |
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28a24f55687c82d6f3ee378ead3cf234 |
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28a24f55687c82d6f3ee378ead3cf234_***_Graham Shore |
| author |
Graham Shore |
| author2 |
Graham Shore |
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Book chapter |
| container_title |
Hidden Symmetries and Higgs Phenomena. Proceedings,Zuoz 1998 |
| container_start_page |
201 |
| publishDate |
1998 |
| institution |
Swansea University |
| college_str |
Faculty of Science and Engineering |
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|
| 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 |
https://arxiv.org/abs/hep-ph/9812354v1 |
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0 |
| active_str |
0 |
| description |
Many of the distinctive and subtle features of the dynamics in the UA(1) channel in QCD can be related to gluon topology, more precisely to the topological susceptibility χ(k^2) = i \int d^4x e^ikx⟨0|T Q(x) Q(0)|0⟩, where Q = α_s trGμνG ̃μν is the gluon topological charge density. The link is the UA(1) axial (ABJ) anomaly. In this lecture, we describe the anomalous UA(1) chiral Ward identities in a functional formalism and show how two apparently unrelated ‘UA(1) problems’ – the mass of the η′ and the violation of the Ellis- Jaffe sum rule in polarised deep-inelastic scattering – can be explained in terms of the gluon topological susceptibility. They are related through a UA(1) extension of the Goldberger- Treiman formula, which is derived here for QCD with both massless and massive quarks. |
| published_date |
1998-12-14T03:39:10Z |
| _version_ |
1763751756225839104 |
| score |
11.013371 |