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A note on C-Parity Conservation and the Validity of Orientifold Planar Equivalence

We analyze the possibility of a spontaneous breaking of C-invariance in gauge theories with fermions in vector-like - but otherwise generic - representations of the gauge group. QCD, supersymmetric Yang-Mills theory, and orientifold field theories, all belong to this class. We argue that charge conj...

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Detalles Bibliográficos
Autores principales: Armoni, A, Shifman, M, Veneziano, Gabriele
Lenguaje:eng
Publicado: 2007
Materias:
Acceso en línea:https://dx.doi.org/10.1016/j.physletb.2007.02.049
http://cds.cern.ch/record/1012935
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author Armoni, A
Shifman, M
Veneziano, Gabriele
author_facet Armoni, A
Shifman, M
Veneziano, Gabriele
author_sort Armoni, A
collection CERN
description We analyze the possibility of a spontaneous breaking of C-invariance in gauge theories with fermions in vector-like - but otherwise generic - representations of the gauge group. QCD, supersymmetric Yang-Mills theory, and orientifold field theories, all belong to this class. We argue that charge conjugation is not spontaneously broken as long as Lorentz invariance is maintained. Uniqueness of the vacuum state in pure Yang-Mills theory (without fermions) and convergence of the expansion in fermion loops are key ingredients. The fact that C-invariance is conserved has an interesting application to our proof of planar equivalence between supersymmetric Yang-Mills theory and orientifold field theory on R4, since it allows the use of charge conjugation to connect the large-N limit of Wilson loops in different representations.
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institution Organización Europea para la Investigación Nuclear
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publishDate 2007
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spelling cern-10129352019-09-30T06:29:59Zdoi:10.1016/j.physletb.2007.02.049http://cds.cern.ch/record/1012935engArmoni, AShifman, MVeneziano, GabrieleA note on C-Parity Conservation and the Validity of Orientifold Planar EquivalenceParticle Physics - TheoryWe analyze the possibility of a spontaneous breaking of C-invariance in gauge theories with fermions in vector-like - but otherwise generic - representations of the gauge group. QCD, supersymmetric Yang-Mills theory, and orientifold field theories, all belong to this class. We argue that charge conjugation is not spontaneously broken as long as Lorentz invariance is maintained. Uniqueness of the vacuum state in pure Yang-Mills theory (without fermions) and convergence of the expansion in fermion loops are key ingredients. The fact that C-invariance is conserved has an interesting application to our proof of planar equivalence between supersymmetric Yang-Mills theory and orientifold field theory on R4, since it allows the use of charge conjugation to connect the large-N limit of Wilson loops in different representations.hep-th/0701229CERN-PH-TH-2007-013FTPI-MINN-2006-38SWAT-505UMN-TH-2528oai:cds.cern.ch:10129352007-01-24
spellingShingle Particle Physics - Theory
Armoni, A
Shifman, M
Veneziano, Gabriele
A note on C-Parity Conservation and the Validity of Orientifold Planar Equivalence
title A note on C-Parity Conservation and the Validity of Orientifold Planar Equivalence
title_full A note on C-Parity Conservation and the Validity of Orientifold Planar Equivalence
title_fullStr A note on C-Parity Conservation and the Validity of Orientifold Planar Equivalence
title_full_unstemmed A note on C-Parity Conservation and the Validity of Orientifold Planar Equivalence
title_short A note on C-Parity Conservation and the Validity of Orientifold Planar Equivalence
title_sort note on c-parity conservation and the validity of orientifold planar equivalence
topic Particle Physics - Theory
url https://dx.doi.org/10.1016/j.physletb.2007.02.049
http://cds.cern.ch/record/1012935
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