A Nonperturbative Calculation of the Infrared Limit of the Axial Gauge Gluon Propagator. 1.

Nov, 1980
29 pages
Published in:
  • Nucl.Phys.B 186 (1981) 531-559
  • Published: 1981
Report number:
  • CALT-68-807

Citations per year

1981199120012011201905101520
Abstract: (Elsevier)
We describe a non-perturbative study of the infrared behavior of the axial gauge gluon propagator based on the Dyson equation and Ward identities. We conclude that the propagator Δ μν ( q ) displays a q −4 singularity in the infrared limit, and that consequently the axial gauge running coupling constant g A 2 )( q ) displays a q −2 singularity in the same limit. The only assumption necessary to obtain this conclusion is that the transverse part of the triple-gluon vertex function does not dominate the longitudinal part in the infrared regime.
  • GAUGE FIELD THEORY: YANG-MILLS
  • NONPERTURBATIVE
  • GLUON: PROPAGATOR
  • GAUGE FIELD THEORY: AXIAL GAUGE
  • FIELD THEORY: INFRARED PROBLEM
  • GAUGE FIELD THEORY: WARD IDENTITY
  • FIELD EQUATIONS: DYSON-SCHWINGER
  • GLUON: VERTEX FUNCTION
  • GLUON: POLARIZATION
  • POLARIZATION: GLUON