Gauge dependence of Green’s functions in QCD and QED

@article{Nishijima2007GaugeDO,
  title={Gauge dependence of Green’s functions in QCD and QED},
  author={Kazuhiko Nishijima and Anca Tureanu},
  journal={The European Physical Journal C},
  year={2007},
  volume={53},
  pages={649-657}
}
When all Green’s functions are known in a given gauge we may raise the question of whether it is possible or not to derive the corresponding ones in a different gauge. The answer is negative in QCD but affirmative in QED provided that we confine ourselves to the covariant gauge characterized by a gauge parameter α. We shall discuss the physical significance of this conclusion. 
View on Springer
arxiv.org
7 Citations
Methods Citations
1

7 Citations

Diagrammatic Cancellations and the Gauge Dependence of QED

Condition for confinement in non-Abelian gauge theories

Confinement in QCD and generic Yang-Mills theories with matter representations

We derive the low-energy limit of quantum chromodynamics (QCD) and show that in the ’t Hooft limit, i.e. for a very large number of colors and increasing ’t Hooft coupling, quark confinement is…

Quantum gauge models without (classical) Higgs mechanism

We examine the status of massive gauge theories, such as those usually obtained by spontaneous symmetry breakdown, from the viewpoint of causal (Epstein–Glaser) renormalization. The BRST formulation…

A Semi-Analytical Solution to Classic Yang-Mills Equations with Both Asymptotical Freedom and Confining Features

It is well known that confinings and asymptotic freedom are properties of quantum chromo-dynamics (QCD). But hints of these features can also be observed at purely classic levels. For this purpose we…

Confinement and renormalization group equations in string-inspired nonlocal gauge theories

As an extension of the weak perturbation theory obtained in recent analysis on infinite-derivative non-local non-Abelian gauge theories motivated from p-adic string field theory, and postulated as…

Colour Confinement, the Goto-Imamura-Schwinger Term and Renormalization Group

In connection with the question of colour confinement the origin of the Goto-Imamura-Schwinger term has been studied with the help of renormalization group. An emphasis has been laid on the…

References

SHOWING 1-10 OF 31 REFERENCES

Spectral function sum rule for gauge fields

An exact evaluation of the wave function renormalization constant for the color gauge field is carried out because of the close relationship that it bears to color confinement. Since this constant…

Reliable Perturbative Results for Strong Interactions

An explicit calculation shows perturbation theory to be arbitrarily good for the deep Euclidean Green's functions of any Yang-Mills theory and of many Yang-Mills theories with fermions. Under the…

CONFINEMENT OF QUARKS AND GLUONS II

It is proved without recourse to any approximation that quarks and gluons are confined simultaneously when the anomalous dimension of the gluon field is negative in the weak coupling limit. The proof…

Renormalization constant of the color gauge field as a probe of confinement

Abstract. The mechanism of color confinement as a consequence of an unbroken non-abelian gauge symmetry and asymptotic freedom is elucidated and compared with that of other models based on an analogy…

Renormalization of gauge theories

Ultraviolet Behavior of Non-Abelian Gauge Theories

It is shown that a wide class of non-Abelian gauge theories have, up to calculable logarithmic corrections, free-field-theory asymptotic behavior. It is suggested that Bjorken scaling may be obtained…

Nonlocal renormalization “stopping” the running gauge

Does color confinement imply massive gluons?

Color confinement is one of the central issues in QCD, and there are various interpretations of this feature. In this paper we have adopted the interpretation that colored particles cannot be…

QUANTUM ELECTRODYNAMICS AT SMALL DISTANCES

The renormalized propagation functions DFC and SFC for photons and electrons, respectively, are investigated for momenta much greater than the mass of the electron. It is found that in this region…

Zur Formulierung quantisierter Feldtheorien

SummaryA new formulation of quantized field theories is proposed. Starting from some general requirements we derive a set of equations which determine the matrix-elements of field operators and the…