Photon polarization tensor and gauge dependence in three-dimensional quantum electrodynamics

Conrad J. Burden; Justin Praschifka; Craig D. Roberts

doi:10.1103/PhysRevD.46.2695

Photon polarization tensor and gauge dependence in three-dimensional quantum electrodynamics

Conrad J. Burden^*, Justin Praschifka, Craig D. Roberts

^*Corresponding author for this work

Mathematical Sciences Institute

Research output: Contribution to journal › Article › peer-review

105 Citations (Scopus)

Abstract

We calculate the three-dimensional QED (QED3) photon polarization tensor using dressed fermion propagators and a fermion-photon vertex that satisfies the Ward-Takahashi identity. Irrespective of the structural details of the transverse part of the fermion-photon vertex the photon remains massless; i.e., there is no photon mass generation in the manner of the Schwinger mechanism. Our calculation suggests that QED3 is confining when the polarization tensor is calculated using a dressed fermion propagator and fermion-photon vertex. The gauge parameter dependence of the fermion propagator, fermionphoton vertex, and photon polarization tensor is discussed in connection with the Landau-Khalatnikov gauge transformation laws.

Original language	English
Pages (from-to)	2695-2702
Number of pages	8
Journal	Physical Review D
Volume	46
Issue number	6
DOIs	https://doi.org/10.1103/PhysRevD.46.2695
Publication status	Published - 1992

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abstract = "We calculate the three-dimensional QED (QED3) photon polarization tensor using dressed fermion propagators and a fermion-photon vertex that satisfies the Ward-Takahashi identity. Irrespective of the structural details of the transverse part of the fermion-photon vertex the photon remains massless; i.e., there is no photon mass generation in the manner of the Schwinger mechanism. Our calculation suggests that QED3 is confining when the polarization tensor is calculated using a dressed fermion propagator and fermion-photon vertex. The gauge parameter dependence of the fermion propagator, fermionphoton vertex, and photon polarization tensor is discussed in connection with the Landau-Khalatnikov gauge transformation laws.",

author = "Burden, \{Conrad J.\} and Justin Praschifka and Roberts, \{Craig D.\}",

year = "1992",

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AU - Burden, Conrad J.

AU - Praschifka, Justin

AU - Roberts, Craig D.

PY - 1992

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N2 - We calculate the three-dimensional QED (QED3) photon polarization tensor using dressed fermion propagators and a fermion-photon vertex that satisfies the Ward-Takahashi identity. Irrespective of the structural details of the transverse part of the fermion-photon vertex the photon remains massless; i.e., there is no photon mass generation in the manner of the Schwinger mechanism. Our calculation suggests that QED3 is confining when the polarization tensor is calculated using a dressed fermion propagator and fermion-photon vertex. The gauge parameter dependence of the fermion propagator, fermionphoton vertex, and photon polarization tensor is discussed in connection with the Landau-Khalatnikov gauge transformation laws.

AB - We calculate the three-dimensional QED (QED3) photon polarization tensor using dressed fermion propagators and a fermion-photon vertex that satisfies the Ward-Takahashi identity. Irrespective of the structural details of the transverse part of the fermion-photon vertex the photon remains massless; i.e., there is no photon mass generation in the manner of the Schwinger mechanism. Our calculation suggests that QED3 is confining when the polarization tensor is calculated using a dressed fermion propagator and fermion-photon vertex. The gauge parameter dependence of the fermion propagator, fermionphoton vertex, and photon polarization tensor is discussed in connection with the Landau-Khalatnikov gauge transformation laws.

UR - https://www.scopus.com/pages/publications/0001134815

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VL - 46

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EP - 2702

JO - Physical Review D

JF - Physical Review D

IS - 6

ER -

Photon polarization tensor and gauge dependence in three-dimensional quantum electrodynamics

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