Temporal correlator in YM^2_3 and reflection-positivity violation

Details Temporal correlator in YM^2_3 and reflection-positivity violation Temporal correlator in YM^2_3 and reflection-positivity violation

2004-08-14

arxiv.org/abs/hep-lat/0408022v1

Physics

High Energy Physics

High Energy Physics - Lattice

3 pages, 1 figure, 1 table, presented by A.R. Taurines at the IX Hadron Physics and VII Relativistic Aspects of Nuclear Physic

Scientific paper

10.1063/1.1843668

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^2_3). 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.

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