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Updating QCD$_{2}$
we review two-dimensional QCD. The report contains: 1. Introduction. 2. QCD_2 as a field theory 2.1 The 1/N expansion and spectrum, 2.2 Ambiguity in the self-energy of the quark, 2.3 Polyakov--Wiegmann formula and gauge interactions, 2.4 Strong coupling analysis, 2.5 A Lagrangian realization of the...
Autores principales: | , |
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Lenguaje: | eng |
Publicado: |
1995
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Materias: | |
Acceso en línea: | https://dx.doi.org/10.1016/0370-1573(95)00019-4 http://cds.cern.ch/record/277747 |
_version_ | 1780887672936464384 |
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author | Abdalla, E. Abdalla, M.C.B. |
author_facet | Abdalla, E. Abdalla, M.C.B. |
author_sort | Abdalla, E. |
collection | CERN |
description | we review two-dimensional QCD. The report contains: 1. Introduction. 2. QCD_2 as a field theory 2.1 The 1/N expansion and spectrum, 2.2 Ambiguity in the self-energy of the quark, 2.3 Polyakov--Wiegmann formula and gauge interactions, 2.4 Strong coupling analysis, 2.5 A Lagrangian realization of the coset construction, 2.6 Chiral interactions. 3. Pure QCD_2 and string theory, 3.1 Introduction, 3.2 Wilson loop average and large-N limit, 3.3 String interpretation, 3.4 Collective coordinates approach, 3.5 Phase structure of QCD_2, 4. Generalized QCD_2 and adjoint-matter coupling , 4.1 Introduction and motivation, 4.2 Scalar and fermionic matter coupling; quantization 4.3 The Hagedorn transition; supersymmetry 4.4 Landau--Ginzburg description; spectrum and string theory 5. Algebraic aspects of QCD_2 and integrability 5.1 W_\infty algebras for colourless bilinears 5.2 Integrability and duality 5.3 Constraint structure of the theory 5.4 Spectrum and comparison with the 1/N expansion 5.5 Integrability conditions and Calogero-type models 5.6 QCD at high energies and two-dimensional field theory 6. Conclusions 3 appendices. |
id | cern-277747 |
institution | Organización Europea para la Investigación Nuclear |
language | eng |
publishDate | 1995 |
record_format | invenio |
spelling | cern-2777472023-03-14T18:55:56Zdoi:10.1016/0370-1573(95)00019-4http://cds.cern.ch/record/277747engAbdalla, E.Abdalla, M.C.B.Updating QCD$_{2}$Particle Physics - Theorywe review two-dimensional QCD. The report contains: 1. Introduction. 2. QCD_2 as a field theory 2.1 The 1/N expansion and spectrum, 2.2 Ambiguity in the self-energy of the quark, 2.3 Polyakov--Wiegmann formula and gauge interactions, 2.4 Strong coupling analysis, 2.5 A Lagrangian realization of the coset construction, 2.6 Chiral interactions. 3. Pure QCD_2 and string theory, 3.1 Introduction, 3.2 Wilson loop average and large-N limit, 3.3 String interpretation, 3.4 Collective coordinates approach, 3.5 Phase structure of QCD_2, 4. Generalized QCD_2 and adjoint-matter coupling , 4.1 Introduction and motivation, 4.2 Scalar and fermionic matter coupling; quantization 4.3 The Hagedorn transition; supersymmetry 4.4 Landau--Ginzburg description; spectrum and string theory 5. Algebraic aspects of QCD_2 and integrability 5.1 W_\infty algebras for colourless bilinears 5.2 Integrability and duality 5.3 Constraint structure of the theory 5.4 Spectrum and comparison with the 1/N expansion 5.5 Integrability conditions and Calogero-type models 5.6 QCD at high energies and two-dimensional field theory 6. Conclusions 3 appendices.We review two-dimensional QCD. The report contains: 1. Introduction. 2. QCD$_2$ as a field theory 2.1 The 1/N expansion and spectrum, 2.2 Ambiguity in the self-energy of the quark, 2.3 Polyakov--Wiegmann formula and gauge interactions, 2.4 Strong coupling analysis, 2.5 A Lagrangian realization of the coset construction, 2.6 Chiral interactions. 3. Pure QDC$_2$ and string theory, 3.1 Introduction, 3.2 Wilson loop average and large-N limit, 3.3 String interpretation, 3.4 Collective coordinates approach, 3.5 Phase structure of QCD$_2$, 4. Generalized QCD$_2$ and adjoint-matter coupling, 4.1 Introduction and motivation, 4.2 Scalar and fermionic matter coupling; quantization 4.3 The Hagedorn transition; supersymmetry 4.4 Landau--Ginzburg description; spectrum and string theory 5. Algebraic aspects of QCD$_2$ and integrability 5.1 $W_\infty$ algebras for colourless bilinears 5.2 Integrability and duality 5.3 Constraint structure of the theory 5.4 Spectrum and comparison with the 1/N expansion 5.5 Integrability conditions and Calogero-type models 5.6 QCD at high energies and two-dimensional field theory 6. Conclusions, 3 appendices.hep-th/9503002CERN-TH-95-49CERN-TH-95-049CERN-TH-95-49oai:cds.cern.ch:2777471995-03-01 |
spellingShingle | Particle Physics - Theory Abdalla, E. Abdalla, M.C.B. Updating QCD$_{2}$ |
title | Updating QCD$_{2}$ |
title_full | Updating QCD$_{2}$ |
title_fullStr | Updating QCD$_{2}$ |
title_full_unstemmed | Updating QCD$_{2}$ |
title_short | Updating QCD$_{2}$ |
title_sort | updating qcd$_{2}$ |
topic | Particle Physics - Theory |
url | https://dx.doi.org/10.1016/0370-1573(95)00019-4 http://cds.cern.ch/record/277747 |
work_keys_str_mv | AT abdallae updatingqcd2 AT abdallamcb updatingqcd2 |