| Project/Area Number |
15H06641
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| Research Category |
Grant-in-Aid for Research Activity Start-up
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| Allocation Type | Single-year Grants |
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| Research Field |
Particle/Nuclear/Cosmic ray/Astro physics
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| Research Institution | Nihon University |
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Principal Investigator |
OHYA Satoshi 日本大学, 理工学部, 助手 (40755542)
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| Project Period (FY) |
2015-08-28 – 2017-03-31
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| Project Status |
Completed (Fiscal Year 2016)
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| Budget Amount *help |
¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
Fiscal Year 2016: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2015: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
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| Keywords | 共形代数 / 繋絡作用素 / AdS/CFT対応 |
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| Outline of Final Research Achievements |
I have proposed a new Lie-algebraic approach to compute momentum-space two-point functions of conformal field theory (CFT) at finite temperature in any spacetime dimension d(>2). The keys to this proposal are the Unruh effect and intertwining operator. First, I have revisited thermalization of CFT by the Unruh effect and presented a systematic construction of thermal CFT in terms of the embedding space formalism. Second, I have shown that in thermal CFT the intertwining relations reduce to certain linear recurrence relations for two-point functions in the complex momentum space. These recurrence relations are nothing but the conformal Ward-Takahashi identities at finite temperature. It has been shown that all the momentum-space two-point functions are obtained by solving these recurrence relations.
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