skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Positivity violation for the lattice Landau gluon propagator

Abstract

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.

Authors:
; ;  [1]
  1. Instituto de Fisica de Sao Carlos, Universidade de Sao Paulo, C.P. 369, 13560-970, Sao Carlos, SP (Brazil)
Publication Date:
OSTI Identifier:
20706081
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 71; Journal Issue: 5; Other Information: DOI: 10.1103/PhysRevD.71.051902; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; COUPLING; GAUGE INVARIANCE; GLUONS; PROPAGATOR; QUANTUM FIELD THEORY; SU-2 GROUPS; THREE-DIMENSIONAL CALCULATIONS

Citation Formats

Cucchieri, Attilio, Mendes, Tereza, Taurines, Andre R, and Instituto de Fisica Teorica, Universidade Estadual Paulista, Rua Pamplona, 145, Sao Paulo, SP. Positivity violation for the lattice Landau gluon propagator. United States: N. p., 2005. Web. doi:10.1103/PhysRevD.71.051902.
Cucchieri, Attilio, Mendes, Tereza, Taurines, Andre R, & Instituto de Fisica Teorica, Universidade Estadual Paulista, Rua Pamplona, 145, Sao Paulo, SP. Positivity violation for the lattice Landau gluon propagator. United States. https://doi.org/10.1103/PhysRevD.71.051902
Cucchieri, Attilio, Mendes, Tereza, Taurines, Andre R, and Instituto de Fisica Teorica, Universidade Estadual Paulista, Rua Pamplona, 145, Sao Paulo, SP. 2005. "Positivity violation for the lattice Landau gluon propagator". United States. https://doi.org/10.1103/PhysRevD.71.051902.
@article{osti_20706081,
title = {Positivity violation for the lattice Landau gluon propagator},
author = {Cucchieri, Attilio and Mendes, Tereza and Taurines, Andre R and Instituto de Fisica Teorica, Universidade Estadual Paulista, Rua Pamplona, 145, Sao Paulo, SP},
abstractNote = {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.},
doi = {10.1103/PhysRevD.71.051902},
url = {https://www.osti.gov/biblio/20706081}, journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 5,
volume = 71,
place = {United States},
year = {Tue Mar 01 00:00:00 EST 2005},
month = {Tue Mar 01 00:00:00 EST 2005}
}