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Massless Fields as Unitary Representations of the Poincaré Group

✍ Scribed by U. Niederer

Publisher
John Wiley and Sons
Year
1979
Tongue
English
Weight
915 KB
Volume
27
Category
Article
ISSN
0015-8208

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📜 SIMILAR VOLUMES

An analytic nonlinear representation of
An analytic nonlinear representation of the Poincaré group
✍ G. Rideau 📂 Article 📅 1985 🏛 Springer 🌐 English ⚖ 424 KB

We prove in a constructive way the existence of an analytic nonlinear representation of the Poincar~ group in a Banach space, the linear part of which is the massless representation with helicity + 1 (or -1). Furthermore, this nonlinear representation is shown to be analytically unequivalent to any

Nontrivial extensions of a massless repr
Nontrivial extensions of a massless representation with definite helicity of the Poincaré group in 3+1 dimensions by the tensor product of two other massless representations with definite helicity
✍ G. Rideau 📂 Article 📅 1988 🏛 Springer 🌐 English ⚖ 389 KB

Let Un(a, A) be a massless, helicity n/2, representation of the Poinear6 group in 3 + 1 dimensions. Un(a,A) is realized in an adapted nuclear space ~n. We explicitly determine the various classes of cohomology for the extension of Un(a, A) by Un1(a, A)| Un2(a, A).

The representations of the Poincaré grou
The representations of the Poincaré group as functions of the eigenvalues of casimir operators
✍ K Szegő; K Tóth 📂 Article 📅 1972 🏛 Elsevier Science 🌐 English ⚖ 731 KB

ln this paper explicit basis functions are defined for the Poincark group. Both these functions and the representation matrix elements are continuous functions of the momentum variables for the whole real p2 spectrum, including the p2 = 0 point. The essence of our method is to enlarge previously obt