%0 Journal Article %1 lorce2017simple %A Lorcé, Cédric %D 2017 %K dirac lorentz qm spinor %T New and simple covariant expressions for Dirac bilinears %U http://arxiv.org/abs/1705.08370 %X We derive new covariant expressions for the Dirac bilinears based on a generic representation of the Dirac spinors. These bilinears depend on a direction $n$ in Minkowski space which specifies the form of dynamics. We argue that such a dependence is unavoidable in a relativistic theory with spin, since it originates from Wigner rotation effects. Contrary to most of the expressions found in the literature, our ones are valid for all momenta and polarizations of the spinors. As a by-product, we also obtained a generic expression for the polarization four-vector.

@article{lorce2017simple, abstract = {We derive new covariant expressions for the Dirac bilinears based on a generic representation of the Dirac spinors. These bilinears depend on a direction $n$ in Minkowski space which specifies the form of dynamics. We argue that such a dependence is unavoidable in a relativistic theory with spin, since it originates from Wigner rotation effects. Contrary to most of the expressions found in the literature, our ones are valid for all momenta and polarizations of the spinors. As a by-product, we also obtained a generic expression for the polarization four-vector.}, added-at = {2017-05-25T22:56:56.000+0200}, author = {Lorcé, Cédric}, biburl = {https://www.bibsonomy.org/bibtex/27c9a2dfd68d2ee052f849b7006376dfb/vindex10}, description = {New and simple covariant expressions for Dirac bilinears}, interhash = {23ac09e5d21787e3201d8ad36bfb60f3}, intrahash = {7c9a2dfd68d2ee052f849b7006376dfb}, keywords = {dirac lorentz qm spinor}, note = {cite arxiv:1705.08370Comment: 7 pages}, timestamp = {2017-05-25T22:56:56.000+0200}, title = {New and simple covariant expressions for Dirac bilinears}, url = {http://arxiv.org/abs/1705.08370}, year = 2017 }