Does the lattice zero-momentum gluon propagator for pure-gauge SU(3) Yang-Mills theory vanish in the infinite-volume limit?

Journal Article · Sun Feb 01 00:00:00 EST 2009 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.79.031501· OSTI ID:21259865

Oliveira, O; Silva, P J ^[1]

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1. CFC, Departamento de Fisica, Universidade de Coimbra, Rua Larga, 3004-516 Coimbra (Portugal)

The Cucchieri-Mendes bounds for the gluon propagator are discussed for the four dimensional pure-gauge SU(3) theory. Assuming a pure power law dependence on the inverse of the lattice volume, the lattice data gives a vanishing zero-momentum gluon propagator in the infinite-volume limit in agreement with the Gribov-Zwanziger horizon condition but contradicting the SU(2) analysis. The results are robust against variations of the lattice volumes and corrections to the power law. Our analysis considers also more general ansatze that, although not conclusive, open the possibility of having D(0){ne}0 in the infinite-volume limit. A solution to this puzzle requires further investigations.

• OSTI ID: 21259865
• Journal Information: Physical Review. D, Particles Fields, Vol. 79, Issue 3; Other Information: DOI: 10.1103/PhysRevD.79.031501; (c) 2009 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
CORRECTIONS
FOUR-DIMENSIONAL CALCULATIONS
GLUONS
LATTICE FIELD THEORY
MATHEMATICAL SOLUTIONS
PROPAGATOR
SU-2 GROUPS
SU-3 GROUPS
VARIATIONS
YANG-MILLS THEORY