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Study on the spontaneous generation of ferromagnetic phase and the emergence of strong magnetic field in high density quark matter

高密度夸克物质中铁磁相的自发生成及强磁场的出现研究

基本信息

批准号：
17540271
负责人：
NAKAGAWA Hisao
金额：
$ 2.24万
依托单位：
Nara University
依托单位国家：
日本
项目类别：
Grant-in-Aid for Scientific Research (C)
财政年份：
2005
资助国家：
日本
起止时间：
2005 至 2006
项目状态：
已结题

来源：
https://kaken.nii.ac.jp/en/grant/KAKENHI-PROJECT-17540271/
关键词：
particle physics thermal field theory quark matter ferromagnetism 熱場理論

项目摘要

1) Analysis of the mechanism of co-exsistence and/or transition among the 3-phases, i.e., the chiral condensed, the color superconducting and the ferromagnetic phases: In terms of the extended Nambu-Jona Lasinio (NJL) model, by evaluating the thermodynamic potential of the high density polarized 2-flavor quark matter, we studied, mainly focussing on the generation of the ferromagnetic phase inside the color superconducting quark matter associated with chiral condensates, the mechanism of co-exsistence and/or transition among the 3-phases, i.e., the chiral condensed, the color superconducting and the ferromagnetic phases. Results are presented at the YITP workshop and at the Japan-US Joint Physics Meeting.2) Theoretical study toward the calculation of the energy density of the spin-polarized quark matter :2.1) Proof, in the Lagrangian formalism, of the cancellation of energy-divergences in the Coulomb-gauge QCD and of the renormalizability of the Coulomb-gauge QCD.2.2) Thermal operator … More representation of the scattering amplitudes in the thermal quantum field system. 2.3) Construction of quantum field theory of quantum statistical mechanics on the basis of Tsallis statistics, and its application to the "neutral" quark matter. Results are presented at the YITP workshop, the Japan-US Joint Physics Meeting and the JPS meeting, and published in Physical Review D and Progress of Theoretical Physics.3) Analysis of the possibility of obtaining the gauge-invariant solution through the Hard-Thermal-Loop resummed improved ladder Dyson-Schwinger equation toward understanding the mechanism of thermal and/or density dependent phase transition based on the fundamental theory QCD :3.1) Study of the size of gauge-dependence of the solution inside the covariant gauge. 3.2) Theoretical study on the procedure to get a solution that satisfy the Ward-Takahashi identity, and numerical study to get a "gauge invariant" solution. Results arepresented at the YITP workshop, the Japan-US Joint Physics Meeting, the JPS meeting and two international workshops, and published in Bulletin of Research Center (Nara University) and the proceedings of the two international workshops.4) Study on the generation of the ferromagnetic phase and the emergence of strong magnetic field in the quark matter based on the Fermi liquid theory, and based on the Boltzmann equation, are now underway. Less

1）手性凝聚相、色超导相和铁磁相三相共存和/或转变的机制分析：在扩展的Nambu-Jona Lasinio（NJL）模型下，通过评估高密度极化2味夸克物质的热力学势，我们进行了研究，主要集中在与手性凝聚相关的彩色超导夸克物质内部的铁磁相，手性凝聚相、彩色超导相和铁磁相这三相之间的共存和/或转变机制。结果在 YITP 研讨会和日美联合物理会议上公布。2) 自旋极化夸克物质能量密度计算的理论研究：2.1) 在拉格朗日形式主义中证明库仑规范 QCD 中能量发散的抵消以及库仑规范 QCD 的可重正化性。2.2) 热算子……更多表示热量子场系统中的散射振幅。 2.3）基于Tsallis统计的量子统计力学量子场论的构建及其在“中性”夸克物质中的应用。结果在YITP研讨会、日美联合物理会议和JPS会议上发表，并发表在《物理评论D》和《理论物理进展》上。3）基于QCD基础理论，分析通过Hard-Thermal-Loop恢复改进的梯形Dyson-Schwinger方程获得规范不变解的可能性，以理解热和/或密度依赖相变的机制 :3.1) 研究协变规范内解的规范依赖性大小。 3.2) 获得满足 Ward-Takahashi 恒等式的解的过程的理论研究，以及获得“规范不变”解的数值研究。结果在YITP研讨会、日美联合物理会议、JPS会议和两次国际研讨会上发表，并发表在奈良大学研究中心会刊和两次国际研讨会论文集上。4）基于费米液体理论和玻尔兹曼方程的夸克物质中铁磁相的产生和强磁场的出现的研究正在进行中。较少的