On the Gap in the Spectrum of the Translations |
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| Authors: | Hans Jürgen Borchers |
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| Affiliation: | Institut für Theoretische Physik, Universit?t G?ttingen, Bunsenstrasse 9, D-37073 G?ttingen, Germany, DE
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| Abstract: | The spectrum of the translations in local quantum field theory will be analyzed in order to show that in a positive energy representation without vacuum vector and with lowest mass m1 there is no gap in the spectrum which is larger than 2m1. In particular in a zero mass representation there is no hole at all. These results are obtained with methods of analytic functions of several complex variables. |
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