2019 Fiscal Year Research-status Report
Topological Solitons and Non-perturbative Phenomena in Field Theory
| Project/Area Number |
19K14713
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| Research Institution | Keio University |
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Principal Investigator |
チャッタルジー チャンドラセカール 慶應義塾大学, 自然科学研究教育センター(日吉), 訪問研究員 (40837837)
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| Project Period (FY) |
2019-04-01 – 2023-03-31
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| Keywords | topological solitons / vortices / domain walls / QCD / Beyond Standard Model / nuclear matter |
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| Outline of Annual Research Achievements |
We obtained the Ginzburg-Landau (GL) theory for the neutron 3P2 superfluidity relevant for interior of neutron stars up to the eighth order in the condensates and found that this order is necessary for the system to have the unique ground state, unlike the ordinary cases. We showed the phase diagram on the plane spanned by the temperature and magnetic field, and found a first-order phase transition.
We then studied surface effects of neutron 3P2 superfluids in neutron stars. 3P2 superfluids are in uniaxial nematic (UN), D2 biaxial nematic (BN), or D4 BN phase, depending on the strength of magnetic fields from small to large. By solving the GL equation, we found that there exist topological defects (vortices) on the surface in the ground state thanks to the Poincare-Hopf theorem.
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| Current Status of Research Progress |
Current Status of Research Progress
1: Research has progressed more than it was originally planned.
Reason
計画していた中性子3P2超流動について、2本の論文と１本のプロシーディングスを出版したのでおおよそ予定通りである。さらに、予定外であった、変形ゴールドストーン模型の論文も出版したために、当初の計画よりも進展しているといえる。
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| Strategy for Future Research Activity |
We will discuss what happens when a field that receives an Aharonov-Bohm (AB) phase develops a vacuum expectation value (VEV), using the example of an Alice string in a U(1)×SU(2) gauge theory coupled with complex triplet scalar fields. We introduce scalar fields belonging to the doublet representation of SU(2), charged or chargeless under the U(1) gauge symmetry, that receives an AB phase around the Alice string.
As for application to axion models, we will study the Lazarides-Shafi mechanism in detail and will show configuration of strings and walls. Even if Abelian axion strings with a domain wall number greater than 1 are formed in the early universe, each of them will be split into multiple Alice axion strings due to a repulsive force between the Alice strings even without domain wall.
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| Causes of Carryover |
コロナの影響で、予定していた旅費が使えなくなったため。次年度も引き続き、旅費に使えないため、遠隔セミナーを複数回開催し、講演者への謝金として使用する予定である。
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