Positivity violation for the lattice Landau gluon propagator
- Instituto de Fisica de Sao Carlos, Universidade de Sao Paulo, C.P. 369, 13560-970, Sao Carlos, SP (Brazil)
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{sup 3},140{sup 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 set-membership sign [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.
- OSTI ID:
- 20706081
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 71, Issue 5; Other Information: DOI: 10.1103/PhysRevD.71.051902; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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