scholarly journals Divergent IR gluon propagator from Ward-Slavnov-Taylor identities?

2007 ◽  
Vol 2007 (03) ◽  
pp. 076-076 ◽  
Author(s):  
Philippe Boucaud ◽  
Jean Pierre Leroy ◽  
Alain Le Yaouanc ◽  
Jacques Micheli ◽  
Olivier Pène ◽  
...  
Keyword(s):  
Gluon Propagator ◽  
Slavnov Taylor Identities

OPERATOR PRODUCT EXPANSIONS, SLAVNOV-TAYLOR IDENTITIES AND d=4 CONDENSATES

1990 ◽  
Vol 05 (09) ◽  
pp. 653-660 ◽  
Author(s):  
V.P. SPIRIDONOV
Keyword(s):  
Operator Product Expansion ◽  
Gluon Propagator ◽  
Gluon Condensate ◽  
Tree Level ◽  
Operator Product ◽  
Gluon Condensates ◽  
Slavnov Taylor Identities

Operator product expansion (OPE) for the gluon propagator and the corresponding Slavnov-Taylor identities are discussed. Tree-level contribution of the d=4 quark and bilinear in the gluon fields condensates is calculated. It is transverse without any connection between ghost and gluon condensates. Drawbacks of the previous calculations are uncovered. It is found that there is non-zero contribution of the gauge non-invariant quark-gluon condensate.

scholarly journals H(4) tensor representations for the lattice Landau gauge gluon propagator and the estimation of lattice artefacts

2021 ◽  
Vol 103 (7) ◽  
Author(s):  
Guilherme T. R. Catumba ◽  
Orlando Oliveira ◽  
Paulo J. Silva
Keyword(s):  
Gluon Propagator ◽  
Landau Gauge ◽  
Tensor Representations

scholarly journals The gluon propagator in the Coulomb gauge

2004 ◽  
Vol 37 (3) ◽  
pp. 307-313 ◽  
Author(s):  
A. Andraši
Keyword(s):  
Gluon Propagator ◽  
Coulomb Gauge

scholarly journals Gluon propagator in linear covariant Rξ gauges

2018 ◽  
Vol 98 (3) ◽  
Author(s):  
Fabio Siringo ◽  
Giorgio Comitini
Keyword(s):  
Gluon Propagator

scholarly journals Gluon propagator on a center-vortex background

2018 ◽  
Vol 98 (9) ◽  
Author(s):  
James C. Biddle ◽  
Waseem Kamleh ◽  
Derek B. Leinweber
Keyword(s):  
Gluon Propagator ◽  
Center Vortex

THE CONFINEMENT MECHANISM IN YANG–MILLS THEORY?

1999 ◽  
Vol 14 (06) ◽  
pp. 447-457 ◽  
Author(s):  
JOSE A. MAGPANTAY
Keyword(s):  
Gluon Propagator ◽  
Statistical Treatment ◽  
Gauge Condition ◽  
Classical Solutions ◽  
Spherically Symmetric ◽  
Yang Mills ◽  
Effective Dynamics ◽  
Gauge Fixing ◽  
Parallel Surfaces ◽  
Nonlinear Gauge

Using the recently proposed nonlinear gauge condition [Formula: see text] we show the area law behavior of the Wilson loop and the linear dependence of the instantaneous gluon propagator. The field configurations responsible for confinement are those in the nonlinear sector of the gauge-fixing condition (the linear sector being the Coulomb gauge). The nonlinear sector is actually composed of "Gribov horizons" on the parallel surfaces ∂ · Aa=fa≠0. In this sector, the gauge field [Formula: see text] can be expressed in terms of fa and a new vector field [Formula: see text]. The effective dynamics of fa suggests nonperturbative effects. This was confirmed by showing that all spherically symmetric (in 4-D Euclidean) fa(x) are classical solutions and averaging these solutions using a Gaussian distribution (thereby treating these fields as random) lead to confinement. In essence the confinement mechanism is not quantum mechanical in nature but simply a statistical treatment of classical spherically symmetric fields on the "horizons" of ∂ · Aa=fa(x) surfaces.

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