Spectral analysis of quantum field theory on curved space time and its application
Project/Area Number |
24740084
|
Research Category |
Grant-in-Aid for Young Scientists (B)
|
Allocation Type | Multi-year Fund |
Research Field |
Basic analysis
|
Research Institution | Shinshu University |
Principal Investigator |
SUZUKI Akito 信州大学, 工学部, 助教 (70585611)
|
Project Period (FY) |
2012-04-01 – 2014-03-31
|
Project Status |
Completed (Fiscal Year 2013)
|
Budget Amount *help |
¥2,340,000 (Direct Cost: ¥1,800,000、Indirect Cost: ¥540,000)
Fiscal Year 2013: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2012: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
|
Keywords | 場の量子論 / スペクトル / グラフ / 格子 / 国際情報交換(フランス) / 自己共役作用素 / ヒルベルト空間 |
Research Abstract |
The spectral properties of particle systems on curved spacetime were analyzed. Particularly, descretized spaces are viewed as graphs, and the relation between the spectra of many-particle systems and the structure of graphs where the particles move was studied. The zero eigenspace and the Witten index of the particle Hamiltonians were proved to be invariant under a graph transformation. The spectral gap was shown to remain open under the same graph transfomation as above.
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Report
(3 results)
Research Products
(8 results)