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Supersymmetry relics in one-flavor QCD from a new 1/N expansion

We suggest a new large-N/sub c/ limit for multiflavor QCD. Since fundamental and two-index antisymmetric representations are equivalent in SU(3), we have the option to define SU(N/sub c/) QCD keeping quarks in the latter. We can then define a new 1/N/sub c/ expansion (at a fixed number of flavors N/...

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Detalles Bibliográficos
Autores principales: Armoni, Adi, Shifman, M, Veneziano, Gabriele
Lenguaje:eng
Publicado: 2003
Materias:
Acceso en línea:https://dx.doi.org/10.1103/PhysRevLett.91.191601
http://cds.cern.ch/record/725850
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author Armoni, Adi
Shifman, M
Veneziano, Gabriele
author_facet Armoni, Adi
Shifman, M
Veneziano, Gabriele
author_sort Armoni, Adi
collection CERN
description We suggest a new large-N/sub c/ limit for multiflavor QCD. Since fundamental and two-index antisymmetric representations are equivalent in SU(3), we have the option to define SU(N/sub c/) QCD keeping quarks in the latter. We can then define a new 1/N/sub c/ expansion (at a fixed number of flavors N/sub f/) that shares appealing properties with the topological (fixed N/sub f//N/sub c/) expansion while being more suitable for theoretical analysis. In particular, for N/sub f/=1, our large-N/sub c/ limit gives a theory that we recently proved to be equivalent, in the bosonic sector, to N=1 supersymmetric gluodynamics. Using known properties of the latter, we derive several qualitative and semiquantitative predictions for N/sub f/=1 massless QCD that can be easily tested in lattice simulations. Finally, we comment on possible applications for pure SU(3) Yang-Mills theory and real QCD. (17 refs).
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publishDate 2003
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spelling cern-7258502019-09-30T06:29:59Zdoi:10.1103/PhysRevLett.91.191601http://cds.cern.ch/record/725850engArmoni, AdiShifman, MVeneziano, GabrieleSupersymmetry relics in one-flavor QCD from a new 1/N expansionParticle Physics - PhenomenologyWe suggest a new large-N/sub c/ limit for multiflavor QCD. Since fundamental and two-index antisymmetric representations are equivalent in SU(3), we have the option to define SU(N/sub c/) QCD keeping quarks in the latter. We can then define a new 1/N/sub c/ expansion (at a fixed number of flavors N/sub f/) that shares appealing properties with the topological (fixed N/sub f//N/sub c/) expansion while being more suitable for theoretical analysis. In particular, for N/sub f/=1, our large-N/sub c/ limit gives a theory that we recently proved to be equivalent, in the bosonic sector, to N=1 supersymmetric gluodynamics. Using known properties of the latter, we derive several qualitative and semiquantitative predictions for N/sub f/=1 massless QCD that can be easily tested in lattice simulations. Finally, we comment on possible applications for pure SU(3) Yang-Mills theory and real QCD. (17 refs).oai:cds.cern.ch:7258502003
spellingShingle Particle Physics - Phenomenology
Armoni, Adi
Shifman, M
Veneziano, Gabriele
Supersymmetry relics in one-flavor QCD from a new 1/N expansion
title Supersymmetry relics in one-flavor QCD from a new 1/N expansion
title_full Supersymmetry relics in one-flavor QCD from a new 1/N expansion
title_fullStr Supersymmetry relics in one-flavor QCD from a new 1/N expansion
title_full_unstemmed Supersymmetry relics in one-flavor QCD from a new 1/N expansion
title_short Supersymmetry relics in one-flavor QCD from a new 1/N expansion
title_sort supersymmetry relics in one-flavor qcd from a new 1/n expansion
topic Particle Physics - Phenomenology
url https://dx.doi.org/10.1103/PhysRevLett.91.191601
http://cds.cern.ch/record/725850
work_keys_str_mv AT armoniadi supersymmetryrelicsinoneflavorqcdfromanew1nexpansion
AT shifmanm supersymmetryrelicsinoneflavorqcdfromanew1nexpansion
AT venezianogabriele supersymmetryrelicsinoneflavorqcdfromanew1nexpansion