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

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

102 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

Access to Document

10.1103/PhysRevD.46.2695

Cite this

@article{abaf60b4eff6439a81a1e5fe363a2c4b,

title = "Photon polarization tensor and gauge dependence in three-dimensional quantum electrodynamics",

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",

doi = "10.1103/PhysRevD.46.2695",

language = "English",

volume = "46",

pages = "2695--2702",

journal = "Physical Review D",

issn = "0556-2821",

publisher = "American Institute of Physics",

number = "6",

}

TY - JOUR

T1 - Photon polarization tensor and gauge dependence in three-dimensional quantum electrodynamics

AU - Burden, Conrad J.

AU - Praschifka, Justin

AU - Roberts, Craig D.

PY - 1992

Y1 - 1992

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 - http://www.scopus.com/inward/record.url?scp=0001134815&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.46.2695

DO - 10.1103/PhysRevD.46.2695

M3 - Article

AN - SCOPUS:0001134815

SN - 0556-2821

VL - 46

SP - 2695

EP - 2702

JO - Physical Review D

JF - Physical Review D

IS - 6

ER -

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

Abstract

Access to Document

Other files and links

Fingerprint

Cite this