Four-potentials and Maxwell Field Tensors from $SL(2,C)$ Spinors as Infinite-Momentum/Zero-Mass Limits of their Massive Counterparts

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dc.creatorBaskal, S.
dc.creatorKim, Y. S.
dc.date1995-12-12
dc.date1995-12-14
dc.date.accessioned2026-07-07T09:04:12Z
dc.date.available2026-07-07T09:04:12Z
dc.descriptionFour $SL(2,C)$ spinors are considered within the framework of Wigner's little groups which dictate internal space-time symmetries of relativistic particles. It is indicated that the little group for a massive particle at rest is $O(3)$, while it is $O(3)$-like for a moving massive particle. The little group becomes like $E(2)$ in the infinite-momentum/zero-mass limit. Spin-$\frac{1}{2}$ particles are studied in detail, and the origin of the gauge degrees of freedom for massless particles is clarified. There are sixteen different combinations of direct products of two $SL(2,C)$ spinors for spin-1 and spin-0 particles. The state vectors for the $O(3)$ and $O(3)$-like little groups are constructed. It is shown that in the infinite-momentum/zero-mass limit, these state vectors become scalars, four-potentials and the Maxwell field tensor. It is revealed that the Maxwell field tensor so obtained corresponds to some of the state vectors constructed by Weinberg in 1964.
dc.description10 pages, RevTeX
dc.identifierhttps://arxiv.org/abs/hep-th/9512088
dc.identifierhttp://arxiv.org/abs/hep-th/9512088
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/149292
dc.subjectHigh Energy Physics - Theory
dc.titleFour-potentials and Maxwell Field Tensors from $SL(2,C)$ Spinors as Infinite-Momentum/Zero-Mass Limits of their Massive Counterparts
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