Analytic properties of the vacuum polarization tensor in the temporal gauge. Trouble with unitarity

E. Bagan; E. Santiañez

doi:10.1016/0370-2693(92)91201-J

Analytic properties of the vacuum polarization tensor in the temporal gauge. Trouble with unitarity

E. Bagan, E. Santiañez

Department of Physics

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Abstract

The UV-finite part of the vacuum polarization tensor Πμβab in the temporalplanar gauge is computed using the Leibbrandt-Vienna (or generalized Leibbrandt-Mandelstam) prescription for the gauge dependent poles of the gauge-field propagator. It is shown that Πμνab has analytic properties that differ dramatically from those familiar in covariant gauges. By explicit calculation it is also shown that graph-by-graph unitarity is not satisfied. Comments on the absence of non-local counterterms in Burnel and Caprasse's formulation of the Leibbrandt-Vienna prescriptions are given. © 1992.

Original language	English
Pages (from-to)	442-447
Journal	Physics Letters B
Volume	292
Issue number	3-4
DOIs	https://doi.org/10.1016/0370-2693(92)91201-J
Publication status	Published - 15 Oct 1992

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title = "Analytic properties of the vacuum polarization tensor in the temporal gauge. Trouble with unitarity",

abstract = "The UV-finite part of the vacuum polarization tensor Πμβab in the temporalplanar gauge is computed using the Leibbrandt-Vienna (or generalized Leibbrandt-Mandelstam) prescription for the gauge dependent poles of the gauge-field propagator. It is shown that Πμνab has analytic properties that differ dramatically from those familiar in covariant gauges. By explicit calculation it is also shown that graph-by-graph unitarity is not satisfied. Comments on the absence of non-local counterterms in Burnel and Caprasse's formulation of the Leibbrandt-Vienna prescriptions are given. {\textcopyright} 1992.",

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AU - Santiañez, E.

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N2 - The UV-finite part of the vacuum polarization tensor Πμβab in the temporalplanar gauge is computed using the Leibbrandt-Vienna (or generalized Leibbrandt-Mandelstam) prescription for the gauge dependent poles of the gauge-field propagator. It is shown that Πμνab has analytic properties that differ dramatically from those familiar in covariant gauges. By explicit calculation it is also shown that graph-by-graph unitarity is not satisfied. Comments on the absence of non-local counterterms in Burnel and Caprasse's formulation of the Leibbrandt-Vienna prescriptions are given. © 1992.

AB - The UV-finite part of the vacuum polarization tensor Πμβab in the temporalplanar gauge is computed using the Leibbrandt-Vienna (or generalized Leibbrandt-Mandelstam) prescription for the gauge dependent poles of the gauge-field propagator. It is shown that Πμνab has analytic properties that differ dramatically from those familiar in covariant gauges. By explicit calculation it is also shown that graph-by-graph unitarity is not satisfied. Comments on the absence of non-local counterterms in Burnel and Caprasse's formulation of the Leibbrandt-Vienna prescriptions are given. © 1992.

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DO - 10.1016/0370-2693(92)91201-J

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EP - 447

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