From Scattering Problems in Quantum Mechanics to Correlation Functions in Conformal Field Theory
| Project/Area Number |
15H06641
|
|---|
| Research Category |
Grant-in-Aid for Research Activity Start-up
|
| Allocation Type | Single-year Grants |
|---|
| Research Field |
Particle/Nuclear/Cosmic ray/Astro physics
|
|---|
| Research Institution | Nihon University |
|---|
Principal Investigator |
OHYA Satoshi 日本大学, 理工学部, 助手 (40755542)
|
|---|
| Project Period (FY) |
2015-08-28 – 2017-03-31
|
| Project Status |
Completed (Fiscal Year 2016)
|
| 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)
|
|---|
| Keywords | 共形代数 / 繋絡作用素 / AdS/CFT対応 |
|---|
| 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.
|
Report
(3 results)
Research Products
(7 results)
