Quantization of Space-time Noncommutative Theory (Lecture) (〔素粒子論グループ〕SUMMER INSTITUTE 2004)
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概要
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General aspects of the quantization of field theories non-local in time are discussed. The path integral on the basis of Schwinger's action principle and the Bjorken-Johnson-Low prescription, which helps to recover the canonical structure from the results of the path integral, are used as the main machinery. A modified time ordering operation which formally restores unitarity in field theories non-local in time is analyzed in detail. It is shown that the perturbative unitarity and the positive energy condition, in the sense that only the positive energy flows in the positive time direction for any fixed time-slice in space-time, are not simultaneously satisfied for theories non-local in time such as space-time noncommutative theory.
- 素粒子論グループ 素粒子研究編集部の論文
- 2005-03-20
著者
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Fujikawa Kazuo
Institute For Nuclear Study University Of Tokyo
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Fujikawa Kazuo
Institute of Quantum Science, College of Science and Technology Nihon University
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