On the integrability of the Lie algebra of the conformal group in quantum field theory |
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Authors: | Szymon Rabsztyn |
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Institution: | (1) Institute of Theoretical Physics, University of Wroc aw, Wroc aw, Poland |
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Abstract: | It is shown that the infinitesimal conformal symmetry implies (in any quantum field theory which satisfies the Wightman axioms without invoking locality and global Poincaré symmetry) that there exists a uniquely defined unitary representation of the universal ( -sheeted) covering group of the Minkowskian conformal groupSO
e
(4,2)/
2. Proof was obtained using sufficient conditions for the integrability of a representation of a Lie algebra given by 8]. |
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Keywords: | |
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