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- W3100313283 abstract "We first derive the transverse Ward-Takahashi identities (WTI) of 3-dimensional quantum electrodynamics (QED$_3$) by means of the canonical quantization method and the path integration method, and then prove for the first time that QED$_3$ is strictly solvable based on the transverse WTI and the longitudinal WTI, that is, the full vector and tensor vertices functions can be expressed in term of the fermion propagators in QED$_3$. Further, we discuss the effect of different $gamma$ matrix representations on the full fermion-boson vertex function. It is found that the full vector vertex function does not depend on the different $gamma$ matrix representation we use, textit{i.e.}, it does not depend on whether we use 4 $times$ 4 representation or 2 $times$ 2 representation. But the tensor vertex function depends on the representation we use." @default.
- W3100313283 created "2020-11-23" @default.
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- W3100313283 date "2020-06-29" @default.
- W3100313283 modified "2023-10-16" @default.
- W3100313283 title "Transverse Ward-Takahashi identities and full vertex functions in different representations of QED3" @default.
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- W3100313283 doi "https://doi.org/10.1088/1674-1137/44/7/073105" @default.
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