New insights on non-perturbative Yang-Mills

Journal Article · Fri Nov 12 00:00:00 EST 2010 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.3523164· OSTI ID:21506749

Aguilar, Arlene C ^[1]

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1. Federal University of ABC, CCNH, Rua Santa Adelia 166, CEP 09210-170, Santo Andre (Brazil)

In this talk we review some recent results on the infrared properties of the gluon and ghost propagators in pure Yang-Mills theories. These results are obtained from the corresponding Schwinger-Dyson equation formulated in a special truncation scheme, which preserves gauge invariance. The presence of massless poles in the three gluon vertex triggers the generation of a dynamical gluon mass (Schwinger mechanism in d = 4), which gives rise to an infrared finite gluon propagator and ghost dressing function. As a byproduct of this analysis we calculate the Kugo-Ojima function, required for the definition of the non-perturbative QCD effective charge within the pinch technique framework. We show that the numerical solutions of these non-perturbative equations are in very good agreement with the results of SU(3) lattice simulations.

• OSTI ID: 21506749
• Journal Information: AIP Conference Proceedings, Vol. 1296, Issue 1; Conference: 11. hadron physics international workshop, Maresias, Sao Paulo (Brazil), 21-26 Mar 2010; Other Information: DOI: 10.1063/1.3523164; (c) 2010 American Institute of Physics; ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COMPUTERIZED SIMULATION
EFFECTIVE CHARGE
GAUGE INVARIANCE
GLUONS
GREEN FUNCTION
LATTICE FIELD THEORY
MASS
NUMERICAL SOLUTION
PERTURBATION THEORY
QUANTUM CHROMODYNAMICS
SCHWINGER FUNCTIONAL EQUATIONS
SU-3 GROUPS
YANG-MILLS THEORY
BOSONS
CONSTRUCTIVE FIELD THEORY
DIFFERENTIAL EQUATIONS
EQUATIONS
FIELD THEORIES
FUNCTIONS
INVARIANCE PRINCIPLES
LIE GROUPS
MATHEMATICAL SOLUTIONS
QUANTUM FIELD THEORY
SIMULATION
SU GROUPS
SYMMETRY GROUPS