Free quantum fields on the Poincaré group
نویسندگان
چکیده
منابع مشابه
..free Quantum Fields on the Poincar E Group
A class of free quantum elds deened on the Poincar e group, is described by means of their two-point vacuum expectation values. They are not equivalent to elds deened on the Minkowski spacetime and they are \elemen-tary" in the sense that they describe particles that transform according to irre-ducible unitary representations of the symmetry group, given by the product of the Poincar e group an...
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Following the approach of Grignani and Nardelli [1], we show how to cast the two–dimensional model L ∼ curv + torsion + cosm.const — and in fact any theory of gravity — into the form of a Poincaré gauge theory. By means of the above example we then clarify the limitations of this approach: The diffeomorphism invariance of the action still leads to a nasty constraint algebra. Moreover, by simple...
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In many different fields of mathematics and physics Poincaré found many uses for the idea of a group, but not for group theory. He used the idea in his work on automorphic functions, in number theory, in his epistemology, Lie theory (on the so-called Campbell–Baker–Hausdorff and Poincaré–Birkhoff–Witt theorems), in physics (where he introduced the Lorentz group), in his study of the domains of ...
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ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 1996
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.531537