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Massless Representations of the Poincaré Group
R. Mirman
其他書名
Electromagnetism, Gravitation, Quantum Mechanics, Geometry
出版iUniverse, 2005-05
主題Science / Physics / Quantum TheoryScience / Waves & Wave Mechanics
ISBN05953412419780595341245
URLhttp://books.google.com.hk/books?id=k6Ylsuu0DWcC&hl=&source=gbs_api
EBookSAMPLE
註釋Geometry through its fundamental transformations, the Poincaré group, requires that wavefunctions belong to representations. Massless and massive representations are very different and their coupling almost impossible. Helicity-1 gives electromagnetism, helicity-2 gives gravitation; no higher helicities are possible. Basis states, thus the fundamental fields, are the potential and connection. General relativity is derived and is the unique theory of gravity, thus the only possible quantum theory of gravity. It is explained why it is. Because of transformations trajectories must be geodesics. Momenta are covariant derivatives and must commute. Covariant derivatives of the metric are zero.