Topic

# Bispinor

About: Bispinor is a research topic. Over the lifetime, 645 publications have been published within this topic receiving 10386 citations.

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TL;DR: In this article, the authors give an example of a Lorentz invariant discrete space-time, which is not required by the assumption that space time is a continuous space, and show that it is possible to construct a discrete space time with Lorentzi invariance.

Abstract: It is usually assumed that space-time is a continuum. This assumption is not required by Lorentz invariance. In this paper we give an example of a Lorentz invariant discrete space-time.

2,181 citations

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TL;DR: In this article, it was shown that the order parameter for a massless Dirac spinor is nonzero, and a coordinate-independent formula for the bispinor was given.

Abstract: The two-point function for spinors on maximally symmetric four-dimensional spaces is obtained in terms of intrinsic geometric objects. In the massless case, Weyl spinors in anti de Sitter space can not satisfy boundary conditions appropriate to the supersymmetric models. This is because these boundary conditions break chiral symmetry, which is proven by showing that the “order parameter”\(\left\langle {\bar \psi \psi } \right\rangle \) for a massless Dirac spinor is nonzero. We also give a coordinate-independent formula for the bispinor\(S(x)\bar S(x')\) introduced by Breitenlohner and Freedman [1], and establish the precise connection between our results and those of Burges, Davis, Freedman and Gibbons [2].

397 citations

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TL;DR: In this paper, the group of all automorphisms that preserve this partial ordering is shown to be generated by the inhomogeneous Lorentz group and dilatations, and it is shown that dilatation preserves the partial ordering on Minkowski space.

Abstract: Causality is represented by a partial ordering on Minkowski space, and the group of all automorphisms that preserve this partial ordering is shown to be generated by the inhomogeneous Lorentz group and dilatations.

391 citations

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TL;DR: In this paper, a unitary representation of the inhomogeneous Lorentz group is derived for the case of nonzero mass, which has simple transformation properties yet has no superfluous spin components.

Abstract: A realization of the unitary representation [m, s] of the inhomogeneous Lorentz group is derived, in the case of nonzero mass, which has simple transformation properties yet has no superfluous spin components. A simple transformation then results in the Wigner realization of [m, s]. It is incidentally pointed out that fors ⊋ 0 the representation [m, s] is equivalent to the tensor product of [m, 0] with the representationD(s, 0) of the homogeneous Lorentz group.

346 citations