The non-perturbative structure of the photon and gluon propagators

Abstract

The non-perturbative structure of the photon and gluon propagators plays an important role in governing the dynamics of quantum electrodynamics (QED) and quantum chromodynamics (QCD) respectively. Although it is often assumed that these interacting field propagators can be decomposed into longitudinal and transverse components, as for the free case, it turns out that in general this is not possible. Moreover, the non-abelian gauge symmetry of QCD permits the momentum space gluon propagator to contain additional singular terms involving derivatives of $\delta (p)$, the appearance of which is related to confinement. Despite the possibility of the failure of the transverse-longitudinal decomposition for the photon and gluon propagators, and the appearance of singular terms in the gluon propagator, the Slavnov-Taylor identity nevertheless remains preserved.

17 pages; v2: additional comments added, matches published version

References in corpus (2)

• Constraints on the IR behavior of the gluon propagator in Yang-Mills theories
• Conditions on the violation of the cluster decomposition property in QCD

Cited by in corpus (22)

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• The generalised infrared structure of the gluon propagator
• Reconstructing confined particles with complex singularities
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• Complex poles and spectral functions of Landau gauge QCD and QCD-like theories
• Non-perturbative constraints on the quark and ghost propagators
• Dyson-Schwinger equation constraints on the gluon propagator in BRST quantised QCD
• Flavor-dependent U(3) Nambu Jona Lasinio coupling constant
• Spectral dimension as a tool for analyzing non-perturbative propagators
• $H(4)$ tensor representations for the lattice Landau gauge gluon propagator and the estimation of lattice artefacts
• Hodograph solutions of the wave equation of nonlinear electrodynamics in the quantum vacuum
• On the complex structure of Yang-Mills theory
• The analytic structure of three-point functions from contour deformations
• Continuum approach to real time dynamics of 1+1D gauge field theory: out of horizon correlations of the Schwinger model
• Constituent quark axial current couplings to light vector mesons in the vacuum and with a weak magnetic field
• Effects of a quark chemical potential on the analytic structure of the gluon propagator
• Non-perturbative BRST symmetry and the spectral structure of the ghost propagator
• Reconstructing propagators of confined particles in the presence of complex singularities