Dryson equations, Ward identities, and the infrared behavior of Yang-Mills theories. [Schwinger-Dyson equations, Slavnov-Taylor identities]
Baker, M.
Washington Univ., Seattle (USA). Dept. of Physics
1979-01-01
English
It was shown using the Schwinger-Dyson equations and the Slavnov-Taylor identities of Yang-Mills theory that no inconsistency arises if the gluon propagator behaves like (1/p/sup 2/)/sup 2/ for small p/sup 2/. To see whether the theory actually contains such singular long range behavior, a nonperturbative closed set of equations was formulated by neglecting the transverse parts of GAMMA and GAMMA/sub 4/ in the Schwinger-Dyson equations. This simplification preserves all the symmetries of the theory and allows the possibility for a singular low-momentum behavior of the gluon propagator. The justification for neglecting GAMMA/sup (T)/ and GAMMA/sub 4//sup (T)/ is not evident but it is expected that the present study of the resulting equations will elucidate this simplification, which leads to a closed set of equations.
Gluons
Elementary Particles
Postulated Particles 645204* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Strong Interactions & Properties
Ward Identity
Dyson Representation
Schwinger Source Theory
Mathematical Models
72 Physics Of Elementary Particles And Fields
Gluon Model
Particle Models
Symmetry
Infrared Divergences
Propagator
Singularity
Yang-Mills Theory
Equations
Orbis scientiae 1979 conference, Coral Gables, FL, USA, 15 Jan 1979
Article
Pages: 13
Text
rep-no: DOE/ER-01388-781
rep-no: RLO-1388-781
rep-no: CONF-790150-5
grantno: EY-76-C-06-1388
osti: 5786998
https://digital.library.unt.edu/ark:/67531/metadc1098728/
ark: ark:/67531/metadc1098728