Temporal correlator in YM{sub 3}{sup 2} and reflection-positivity violation

Journal Article · Thu Dec 02 00:00:00 EST 2004 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.1843668· OSTI ID:20630403

Taurines, A R ^[1]; Cucchieri, A; Mendes, T ^[2]

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1. Instituto de Fisica Teorica, Universidade Estadual Paulista, Rua Pamplona 145, Sao Paulo, SP (Brazil)
2. Instituto de Fisica de Sao Carlos, Universidade de Sao Paulo, C.P. 369, 13560-970, Sao Carlos, SP (Brazil)

We consider numerical data for the lattice Landau gluon propagator obtained at very large lattice volumes in three-dimensional pure SU(2) Yang-Mills gauge theory (YM{sub 3}{sup 2}). We find that the temporal correlator C(t) shows an oscillatory pattern and is negative for several values of t. This is an explicit violation of reflection positivity and can be related to gluon confinement. We also obtain a good fit for this quantity in the whole time interval using a sum of Stingl-like propagators.

• OSTI ID: 20630403
• Journal Information: AIP Conference Proceedings, Vol. 739, Issue 1; Conference: Joint meeting on QCD and QCP: 9. hadron physics and 7. relativistic aspects of nuclear physics, Rio de Janeiro (Brazil), 28 Mar - 3 Apr 2004; Other Information: DOI: 10.1063/1.1843668; (c) 2004 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BAG MODEL
GLUONS
LATTICE FIELD THEORY
PROPAGATOR
REFLECTION
SU-2 GROUPS
THREE-DIMENSIONAL CALCULATIONS
YANG-MILLS THEORY