2018 Fiscal Year Annual Research Report
Topological Solitons and Non-perturbative Effects in Field Theory
| Project/Area Number |
16F16322
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| Research Institution | Keio University |
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Principal Investigator |
新田 宗土 慶應義塾大学, 商学部(日吉), 教授 (60433736)
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| Co-Investigator(Kenkyū-buntansha) |
CHATTERJEE CHANDRASEKHAR 慶應義塾大学, 自然科学研究教育センター, 外国人特別研究員
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| Project Period (FY) |
2016-11-07 – 2019-03-31
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| Keywords | dense QCD / color superconductor / hyperon matter / neutron superfluidity |
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| Outline of Annual Research Achievements |
Quark-hadron continuity was proposed as crossover between hadronic matter and quark matter without a phase transition, based on the matching of the symmetry and excitations in both phases. In the simplest case, it connects hyperon matter and the color-flavor-locked (CFL) phase exhibiting color superconductivity. Recently, it was suggested that one hadronic superfluid vortex in hyperon matter could be connected to one non-Abelian vortex (color magnetic flux tube) in the CFL phase. On contrary to their proposal, we showed that three hadronic superfluid vortices must combine with three non-Abelian vortices with different colors with the total color magnetic fluxes canceled out, where the junction is called a colorful boojum.
We discussed the effect of a strong magnetic field on neutron 3P2 superfluidity. We derived the Ginzburg-Landau equation in the path-integral formalism up to the next-to-leading order in the expansion of the magnetic field B. We determined the (T,B) phase diagram with temperature T, comprising three phases: the uniaxial nematic (UN) phase for B=0, D2-biaxial nematic (BN) and D4-BN phases in finite B and strong B such as magnetars, respectively, where D2 and D4 are dihedral groups. We presented the thermodynamic properties, such as heat capacities and spin susceptibility, and found that the spin susceptibility exhibits anisotropies in the UN, D2-BN, and D4-BN phases.
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| Research Progress Status |
平成30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 |
平成30年度が最終年度であるため、記入しない。
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