Lattice study of planar equivalence: The quark condensate

Journal Article · Fri Aug 15 00:00:00 EDT 2008 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.78.045019· OSTI ID:21250550

Armoni, Adi; Lucini, Biagio; Patella, Agostino; Pica, Claudio ^[1]

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1. Department of Physics, Swansea University, Singleton Park, Swansea, SA2 8PP (United Kingdom)

We study quenched SU(N) gauge theories with fermions in the two-index symmetric, antisymmetric and the adjoint representations. Our main motivation is to check whether at large number of colors those theories become nonperturbatively equivalent. We prove the equivalence assuming that the charge-conjugation symmetry is not broken in pure Yang-Mills theory. We then carry out a quenched lattice simulation of the quark condensate in the symmetric, antisymmetric and the adjoint representations for SU(2), SU(3), SU(4), SU(6), and SU(8). We show that the data support the equivalence and discuss the size of subleading corrections.

• OSTI ID: 21250550
• Journal Information: Physical Review. D, Particles Fields, Vol. 78, Issue 4; Other Information: DOI: 10.1103/PhysRevD.78.045019; (c) 2008 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COMPUTERIZED SIMULATION
CORRECTIONS
FERMIONS
GAUGE INVARIANCE
LATTICE FIELD THEORY
QUARK CONDENSATION
SU GROUPS
SU-2 GROUPS
SU-3 GROUPS
SU-4 GROUPS
SU-6 GROUPS
SU-8 GROUPS
SYMMETRY
SYMMETRY BREAKING
YANG-MILLS THEORY