Positivity violation for the lattice Landau gluon propagator
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Data
2005-03-01
Autores
Cucchieri, A.
Mendes, T.
Taurines, A. R.
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American Physical Soc
Resumo
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 is an element of[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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Physical Review D. College Pk: American Physical Soc, v. 71, n. 5, 5 p., 2005.