Positivity violation for the lattice Landau gluon propagator

Details Positivity violation for the lattice Landau gluon propagator Positivity violation for the lattice Landau gluon propagator

2004-06-14

arxiv.org/abs/hep-lat/0406020v2

Phys.Rev. D71 (2005) 051902

Physics

High Energy Physics

High Energy Physics - Lattice

5 pages, 6 figures; minor modifications in the text and in the bibliography

Scientific paper

10.1103/PhysRevD.71.051902

We present explicit numerical evidence of reflection-positivity violation for the lattice Landau gluon propagator in three-dimensional pure SU(2) gauge theory. We use data obtained at very large lattice volumes (V = 80^3, 140^3) and for three different lattice couplings in the scaling region (beta = 4.2, 5.0, 6.0). In particular, we observe a clear oscillatory pattern in the real-space propagator C(t). We also verify that the (real-space) data show good scaling in the range t \in [0,3] fm and can be fitted using a Gribov-like form. The violation of positivity is in contradiction with a stable-particle interpretation of the associated field theory and may be viewed as a manifestation of confinement.

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