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Orientifold Planar Equivalence: The Chiral Condensate / Biagio Lucini, Adi Armoni, Agostino Patella, Claudio Pica

The XXVI International Symposium on Lattice Field Theory (LATTICE 2008) - Applications beyond QCD, Volume: 66, Start page: 054

Swansea University Authors: Biagio Lucini, Adi Armoni

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DOI (Published version): 10.22323/1.066.0054

Abstract

The recently introduced orientifold planar equivalence is a promising tool for solving non-perturbative problems in QCD. One of the predictions of orientifold planar equivalence is that the chiral condensates of a theory with $N_f$ flavours of Dirac fermions in the symmetric (or antisymmetric) repre...

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Published in: The XXVI International Symposium on Lattice Field Theory (LATTICE 2008) - Applications beyond QCD
Published: 2009
Online Access: http://inspirehep.net/record/797911
URI: https://cronfa.swan.ac.uk/Record/cronfa27925
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spelling 2019-07-02T11:55:00.4972446 v2 27925 2016-05-14 Orientifold Planar Equivalence: The Chiral Condensate 7e6fcfe060e07a351090e2a8aba363cf 0000-0001-8974-8266 Biagio Lucini Biagio Lucini true false 3f75faad0563a2d3b191191a2efee956 0000-0002-8105-0645 Adi Armoni Adi Armoni true false 2016-05-14 SMA The recently introduced orientifold planar equivalence is a promising tool for solving non-perturbative problems in QCD. One of the predictions of orientifold planar equivalence is that the chiral condensates of a theory with $N_f$ flavours of Dirac fermions in the symmetric (or antisymmetric) representation and $N_f$ flavours of Majorana fermions in the adjoint representation have the same large $N$ value for any value of the mass of the (degenerate) fermions. Assuming the invariance of the theory under charge conjugation, we prove this statement on the lattice for staggered quenched condensates in SU($N$) Yang-Mills in the large $N$ limit. Then, we compute numerically those quenched condensates for $N$ up to 8. After separating the even from the odd corrections in $1/N$, we are able to show that our data support the equivalence/ however, unlike other quenched observables, subleading terms in $1/N$ are needed for describing the data for the symmetric and antisymmetric representation at $N$=3. Possible lessons for the unquenched case are discussed. Conference Paper/Proceeding/Abstract The XXVI International Symposium on Lattice Field Theory (LATTICE 2008) - Applications beyond QCD 66 054 30 6 2009 2009-06-30 10.22323/1.066.0054 http://inspirehep.net/record/797911 COLLEGE NANME Mathematics COLLEGE CODE SMA Swansea University 2019-07-02T11:55:00.4972446 2016-05-14T16:42:06.3626554 College of Science Physics Biagio Lucini 0000-0001-8974-8266 1 Adi Armoni 0000-0002-8105-0645 2 Agostino Patella 3 Claudio Pica 4
title Orientifold Planar Equivalence: The Chiral Condensate
spellingShingle Orientifold Planar Equivalence: The Chiral Condensate
Biagio, Lucini
Adi, Armoni
title_short Orientifold Planar Equivalence: The Chiral Condensate
title_full Orientifold Planar Equivalence: The Chiral Condensate
title_fullStr Orientifold Planar Equivalence: The Chiral Condensate
title_full_unstemmed Orientifold Planar Equivalence: The Chiral Condensate
title_sort Orientifold Planar Equivalence: The Chiral Condensate
author_id_str_mv 7e6fcfe060e07a351090e2a8aba363cf
3f75faad0563a2d3b191191a2efee956
author_id_fullname_str_mv 7e6fcfe060e07a351090e2a8aba363cf_***_Biagio, Lucini
3f75faad0563a2d3b191191a2efee956_***_Adi, Armoni
author Biagio, Lucini
Adi, Armoni
author2 Biagio Lucini
Adi Armoni
Agostino Patella
Claudio Pica
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url http://inspirehep.net/record/797911
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description The recently introduced orientifold planar equivalence is a promising tool for solving non-perturbative problems in QCD. One of the predictions of orientifold planar equivalence is that the chiral condensates of a theory with $N_f$ flavours of Dirac fermions in the symmetric (or antisymmetric) representation and $N_f$ flavours of Majorana fermions in the adjoint representation have the same large $N$ value for any value of the mass of the (degenerate) fermions. Assuming the invariance of the theory under charge conjugation, we prove this statement on the lattice for staggered quenched condensates in SU($N$) Yang-Mills in the large $N$ limit. Then, we compute numerically those quenched condensates for $N$ up to 8. After separating the even from the odd corrections in $1/N$, we are able to show that our data support the equivalence/ however, unlike other quenched observables, subleading terms in $1/N$ are needed for describing the data for the symmetric and antisymmetric representation at $N$=3. Possible lessons for the unquenched case are discussed.
published_date 2009-06-30T03:43:29Z
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score 10.825742