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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...

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Detalles Bibliográficos
Autores principales: Abdalla, E., Abdalla, M.C.B.
Lenguaje:eng
Publicado: 1995
Materias:
Acceso en línea:https://dx.doi.org/10.1016/0370-1573(95)00019-4
http://cds.cern.ch/record/277747
Descripción
Sumario: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.