A Derivation of the Correct Treatment of 1/(eta.k)^p Singularities in Axial Gauges

Details A Derivation of the Correct Treatment of 1/(eta.k)^p Singularities in Axial Gauges A Derivation of the Correct Treatment of 1/(eta.k)^p Singularities in Axial Gauges

1999-04-15

arxiv.org/abs/hep-th/9904107v3

Mod.Phys.Lett. A14 (1999) 2083-2092; Erratum-ibid. A15 (2000) 1347

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, LaTex, references added, a new result added at the end, (this revised version) to appear in MPLA

Scientific paper

10.1142/S0217732399002145

We use the earlier results on the correlations of axial gauge Green's functions and the Lorentz gauge Green's functions obtained via finite field-dependent BRS transformations to study the question of the correct treatment of 1/(eta\cdot k)^p- type singularities in the axial gauge boson propagator. We show how the known treatment of the 1/(k^2)^n-type singularity in the Lorentz-type gauges can be used to write down the axial propagator via field transformation. We examine the singularity structure of the latter and find that the axial propagator so constructed has $no$ spurious poles, but a complex structure near $\eta\cdot k=0$.

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