Nonperturbative approaches to determining the behavior of the gluon propagator and quark propagator in quantum chromodynamics by Schwinger-Dyson equations

Journal Article · Sat Aug 10 00:00:00 EDT 1991 · International Journal of Modern Physics A; (United States)

DOI:https://doi.org/10.1142/S0217751X91001611· OSTI ID:5613765

Haedicke, A ^[1]

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1. Theoretisch-Physikalisches Inst., Physikalisch-Astronomische Fakultaet, Friedrich-Schiller-Univ. Jena, Max-Wien-Platz 1, O-6900 Jena (DE)

In this paper the attempts to describe the behavior of the gluon propagator and quark propagator by using truncated Schwinger-Dyson equations and Slavnov-Taylor identities are reviewed. Special attention is paid to the problem of infrared behavior of Green's functions. The most important attempts to calculate the gluon propagator using the axial as well as the covariant gauge are critically discussed. Furthermore, an approach concerning the gluon propagator is presented, with the background-field method as its basis. All the calculations confirm more or less the existence of an infrared singularity in the gluon propagator of the form q{sup {minus}4} in momentum space. The calculations to determine the behavior of the dynamical mass function of quarks where the results concerning the gluon propagator are taken into account, show that chiral symmetry is dynamically broken. Furthermore, it turns out that there is no polelike singularity in the quark propagator. These results agree with the expectations from the confinement philosophy.

• OSTI ID: 5613765
• Journal Information: International Journal of Modern Physics A; (United States), Journal Name: International Journal of Modern Physics A; (United States) Vol. 6:19; ISSN IMPAE; ISSN 0217-751X
• Country of Publication: United States
• Language: English

Related Subjects

662120 -- General Theory of Particles & Fields-- Symmetry
Conservation Laws
Currents & Their Properties-- (1992-)
662230* -- Quantum Chromodynamics-- (1992-)
662440 -- Properties of Other Particles Including Hypothetical Particles-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSONS
DIFFERENTIAL EQUATIONS
DOCUMENT TYPES
DYSON REPRESENTATION
ELEMENTARY PARTICLES
EQUATIONS
FERMIONS
FIELD THEORIES
FUNCTIONS
GAUGE INVARIANCE
GLUONS
GREEN FUNCTION
INFRARED DIVERGENCES
INVARIANCE PRINCIPLES
POSTULATED PARTICLES
PROPAGATOR
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUARKS
REVIEWS
SCHWINGER FUNCTIONAL EQUATIONS
SINGULARITY
SYMMETRY BREAKING