| Project/Area Number |
25400415
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Research Field |
Mathematical physics/Fundamental condensed matter physics
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| Research Institution | Institute of Physical and Chemical Research |
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Principal Investigator |
Fujikawa Kazuo 国立研究開発法人理化学研究所, 仁科加速器研究センター, 客員研究員 (30013436)
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| Project Period (FY) |
2013-04-01 – 2016-03-31
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| Project Status |
Completed (Fiscal Year 2015)
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| Budget Amount *help |
¥4,940,000 (Direct Cost: ¥3,800,000、Indirect Cost: ¥1,140,000)
Fiscal Year 2015: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2014: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2013: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
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| Keywords | エンタングルメント / 不確定性関係 / 量子異常 / CPT対称性 / 場の量子論 / inseparability / CPT / CPT対称性（Helsinki) / 経路積分(Stony Brook) / エンタングルメント(Singapore) / ①量子力学基礎論（Singapore） / ①不確定性関係(Singapore） / ①CPT対称性(Helsinki） / 場の理論 |
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| Outline of Final Research Achievements |
It has been shown, for the first time, that the basic sampling theorem by Shannon-Nyquist-Someya in classical information theory is a manifestation of the uncertainty relation. In connection with entanglement, we have shown that the two-spin correlation with the relative angle fixed but averaged over all the possible directions of spins gives useful information about the entanglement in general mixed states, which is more accurate than Bell's inequality. In addition, we formulated a general framework to analyze entanglement in relativistic quantum field theory, and also a much simplified formulation of the so-called Hardy's paradox.
In field theory, we have demonstrated explicitly a realization of CPT breaking in relativistically invariant theory but non-local in the Planck length, and discussed its possible implications. Other subjects in field theory such as the bosonization in d=2 theory,and the formulation of gradient flow for a general field theory have also been discussed.
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