Lorentz invariance and gauge equivariance

3Quantum: Algebra Geometry Information

物理学;数学

Groote, S.^1,2 ; Saar, R.^2 ; Liivat, H.^2

Institut für Physik, Johannes-Gutenberg-Universität, Staudinger Weg 7, Mainz

55099, Germany^1

Füüsika Instituut, Tartu Ülikool, Ravila4c, Tartu

50411, Estonia^2

关键词: Equivariance;    Gauge transformation;    Lorentz;    Lorentz invariance;    Path integral;    Quantum field theory;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/532/1/012007/pdf
DOI  :  10.1088/1742-6596/532/1/012007

来源: IOP

【 摘 要 】

Trying to place Lorentz and gauge transformations on the same foundation, it turns out that the first one generates invariance, the second one equivariance, at least for the abelian case. This similarity is not a hypothesis but is supported by and a consequence of the path integral formalism in quantum field theory.