2019 Fiscal Year Annual Research Report
Interdisciplinary study of gravity and curvature effect in strongly coupled systems
| Project/Area Number |
17F17763
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| Research Institution | Keio University |
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Principal Investigator |
フラキ アントニノ 慶應義塾大学, 商学部(日吉), 准教授 (20444474)
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| Co-Investigator(Kenkyū-buntansha) |
VITAGLIANO VINCENZO 慶應義塾大学, 商学部, 外国人特別研究員
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| Project Period (FY) |
2017-11-10 – 2020-03-31
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| Keywords | symmetry breaking / quantum vacuum / Casimir effect / quantum fields |
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| Outline of Annual Research Achievements |
Research carried out during the last fiscal year has focused on two topics: one regarded the deformation of the quantum vacuum in nonlinear sigma models at finite density. For these theories we have shown that the ground state, usually believed to be homogeneous, it becomes inhomogeneous above a critical density. We have further shown that at high density, the ground state becomes homogeneous as for small density. This behavior indicates a sharp similarity between nonlinear sigma models and their fermion cousins, the Gross-Neveu models which manifest a similar behavior. A paper about this has been submitted to the journal of high energy physics for publication and is currently under revision, and a second paper is preparation. The second research line that we have conducted has focused on analyzing the implication of the Mermin-Wagner theorem for the Casimir effect. With this work we have shown that the Casimir effect manifests anomalous features. Furthermore we have generalized certain consideration regarding the mass gap for nonlinear sigma models to high dimensionality, settling a recently debated topic. A paper about is currently in preparation.
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| Research Progress Status |
令和元年度が最終年度であるため、記入しない。
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| Strategy for Future Research Activity |
令和元年度が最終年度であるため、記入しない。
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