A first look at Landau-gauge propagators in G2 Yang-Mills theory
arXiv:0711.1451 · doi:10.1088/1126-6708/2008/02/070
Abstract
G_2 Yang--Mills theory is an interesting laboratory to investigate non-perturbative effects. On one hand, no conventional quark confinement via a linearly rising potential is present. On the other hand, its thermodynamic properties are similar to ordinary SU(N) Yang--Mills theory. Finally, it has been conjectured that gluons are removed from the physical spectrum in the same way as in SU(N) Yang--Mills theory. The last claim will be explored by determining the Landau-gauge ghost and gluon propagators, as well as the Faddeev--Popov operator eigenspectrum, in G_2 lattice gauge theory in two and three dimensions. The results are found to agree qualitatively with the SU(2) and SU(3) case. Therefore, the conjecture that Yang--Mills theories with different gauge groups are qualitatively similar on the level of their Landau gauge Green's functions is supported.
22 pages, 4 figures, 2 tables; in v2: One figure added, added statistics, extended discussion on some topics, various minor changes
References in corpus (16)
- Infrared Properties of QCD from Dyson-Schwinger equations
- Scaling behavior and positivity violation of the gluon propagator in full QCD
- Uniqueness of infrared asymptotics in Landau gauge Yang-Mills theory
- Exploratory study of three-point Green's functions in Landau-gauge Yang-Mills theory
- Exceptional Deconfinement in G(2) Gauge Theory
- Two- and three-point Green's functions in two-dimensional Landau-gauge Yang-Mills theory
- Infrared behaviour of the ghost-gluon vertex in Landau gauge Yang-Mills theory
- Infrared properties of propagators in Landau-gauge pure Yang-Mills theory at finite temperature
- Color Screening, Casimir Scaling, and Domain Structure in G(2) and SU(N) Gauge Theories
- The infrared behavior of Landau gauge Yang-Mills theory in d=2, 3 and 4 dimensions
- Just how different are SU(2) and SU(3) Landau-gauge propagators in the IR regime?
- G_2 gauge theory at finite temperature
- Large volume behaviour of Yang-Mills propagators
- Once more on the interrelation between Abelian monopoles and P-vortices in SU(2) LGT
- Vortices, Symmetry Breaking, and Temporary Confinement in SU(2) Gauge-Higgs Theory
- Instantons, monopoles, vortices, and the Faddeev-Popov operator eigenspectrum
Cited by in corpus (11)
- Constraints on the IR behavior of the ghost propagator in Yang-Mills theories
- Three-point vertices in Landau-gauge Yang-Mills theory
- Chiral and deconfinement transition from correlation functions: SU(2) vs. SU(3)
- Casimir scaling in G(2) lattice gauge theory
- Exceptional thermodynamics: The equation of state of G(2) gauge theory
- Chiral symmetry and spectral properties of the Dirac operator in G2 Yang-Mills Theory
- Phase diagram of the lattice G(2) Higgs Model
- On the gauge-algebra dependence of Landau-gauge Yang-Mills propagators
- Phase structure and propagators at nonvanishing temperature for QCD and QCD-like theories
- Topological aspects of G2 Yang-Mills theory
- Contributions of the center vortices and vacuum domain in potentials between static sources