. ge n - ph ] 2 3 Ju n 20 09 Geometry and Localization , a metaphorically related pair
نویسنده
چکیده
It is often overlooked that local quantum physics has a built in quantum localization structure which may under certain circumstances disagree with (differential, algebraic) geometric ideas. String theory originated from such a spectacular misinterpretation of a source-target embedding in which an inner symmetry of the source object becomes the Lorentz symmetry of the target space. The quantum localization reveals however that the resulting object is an infinite component pointlike field. There are also other other areas in QFT which suffered from having followed geometrical metaphors and payed too little attention to the autonomous localization properties. This will be illustrated in the concrete context of three examples. We also show that ”modular localization ”, i.e. the intrinsic localization theory of local quantum quantum physics, leads to a radiacal new way of looking at (nonperturbative) QFT. For the first time in the history of QFT there are now existence theorems for a class of strictly renormalizable (i.e. not superrenormalizable) factorizable QFTs which are based on these new concepts. The paper ends with some worrisome sociological observations about the state of particle physics and the direction in which it is heading. 1 Introductory remarks There is the widespread belief that geometric ideas, in their differential or algebraic form, are always beneficial for particle physics. In view of the autonomous localization concept in QFT, the correctness of this opinion can be tested by asking whether the arguments based on quantum localization confirm or refute what could have been obtained on intuitive geometric reasons. The main theme of this note is the presentation of various cases, all of high actual interest in particle theory, for which substitution (or confusion) of quantum localization with naive geometric expectations has led to misinterpretations
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. ge n - ph ] 2 2 Ju n 20 09 Geometry and Localization , a metaphorically related pair Bert
It is often overlooked that local quantum physics has a built in quantum localization structure which may under certain circumstances disagree with (differential, algebraic) geometric ideas. String theory originated from such a spectacular misinterpretation of a source-target embedding in which an inner symmetry of the source object becomes the Lorentz symmetry of the target space. The quantum ...
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تاریخ انتشار 2009