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

Departament de Física

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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.

Idioma original	Anglès
Pàgines (de-a)	442-447
Revista	Physics Letters B
Volum	292
Número	3-4
DOIs	https://doi.org/10.1016/0370-2693(92)91201-J
Estat de la publicació	Publicada - 15 d’oct. 1992

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10.1016/0370-2693(92)91201-J

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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.",

author = "E. Bagan and E. Santia{\~n}ez",

year = "1992",

month = oct,

day = "15",

doi = "10.1016/0370-2693(92)91201-J",

language = "English",

volume = "292",

pages = "442--447",

journal = "Physics Letters B",

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T1 - Analytic properties of the vacuum polarization tensor in the temporal gauge. Trouble with unitarity

AU - Bagan, E.

AU - Santiañez, E.

PY - 1992/10/15

Y1 - 1992/10/15

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.

U2 - 10.1016/0370-2693(92)91201-J

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

M3 - Article

SN - 0370-2693

VL - 292

SP - 442

EP - 447

JO - Physics Letters B

JF - Physics Letters B

IS - 3-4

ER -

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

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