Dynamics of Scalar Fields and Baryogenesis on their Backgrounds

标量场动力学及其背景下的重子发生

• 批准号: 13135222
• 负责人: TOYODA Fumihiko
• 金额: $ 2.69万
• 依托单位: Kinki University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research on Priority Areas
• 财政年份: 2001
• 资助国家: 日本
• 起止时间: 2001 至 2006
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/en/grant/KAKENHI-PROJECT-13135222/
• 关键词: Baryogenesis; Phase Transition; Higgs Fields; Scalar Fields; Sphaleron; Baryoenesis; Preheating; Scalar Field

Electroweak baryogenesis is based on the idea that baryon asymmetry arises at the electroweak phase transition era. On the electroweak interaction, the standard model is established and there are many experimental data of accelerators. It is charming to interpret the baryon asymmetry of universe by the standard model(or its supersymmetric version) and many papers are written.It is dynamics of scalar fields(Higgs fields) to determine the electroweak phase transition. It is pointed out that the electroweak phase transition is preferred to be the first order in the minimal supersymmetric standard model(MSSM). Among 3 conditions of Sakharov, nonequilibrium is satisfied by the growth of bubble walls and baryon number violation is due to sphaleron transition. On large CP violation, we propose the transitional CP violation where tiny explicit CP violation enlarges through the spontaneous CP violation. This proposal reproduced the observations well and gave an impact to other groups. However, this model restricts the Higgs mass and experimental data have the tendency to exceed the restrictions.To overcome this difficulty, we need to consider the extension of MSSM, that is, Next-to-MSSM. Here, we introduce the scalar field of SU (2) singlet. The scalar field couples to Higgs fields and relax mass restrictions of Higgs fields. We can find the parameter spaces that are consistent with experiments.On the other hand, the finite temperature effective potential of NMSSM shows the multi-step phase transition other than the first and second transition. In MSSM, light-stop loop contributes the first order phase transition. In NMSSM, heavy-stop loop can contribute the first order phase transition.The contribution of SU (2) singlet scalar can deform the sphaleron solution of SU (2) gauge and Higgs system. We are now analyzing the solutions.Finally, we will calculate the generation probability of baryon asymmetry in the NMSSM.

电弱重子发生是基于重子不对称出现在电弱相变时代的想法。在电弱相互作用方面，建立了标准模型，并有许多加速器的实验数据。用标准模型（或其超对称模型）来解释宇宙的重子不对称性是很有趣的，并且写了很多论文。确定电弱相变的是标量场（希格斯场）的动力学。指出在最小超对称标准模型(MSSM)中电弱相变优选为一阶。在萨哈罗夫的3个条件中，气泡壁的生长满足了非平衡状态，而重子数破坏是由于sphaleron转变所致。对于大的 CP 破坏，我们提出了过渡 CP 破坏，其中微小的显式 CP 破坏通过自发 CP 破坏而扩大。该提案很好地再现了观察结果，并对其他小组产生了影响。但该模型对希格斯质量有限制，实验数据有超出限制的趋势。为了克服这个困难，我们需要考虑MSSM的扩展，即Next-to-MSSM。这里，我们引入SU(2)单线态的标量场。标量场与希格斯场耦合并放松希格斯场的质量限制。我们可以找到与实验一致的参数空间。另一方面，NMSSM的有限温度有效势显示出除第一和第二相变之外的多步相变。在 MSSM 中，光阻环有助于一阶相变。在NMSSM中，重停止环可以贡献一阶相变。SU(2)单线态标量的贡献可以使SU(2)规范和希格斯系统的sphaleron解变形。我们现在正在分析解。最后，我们将计算NMSSM中重子不对称性的产生概率。

项目成果

船久保公一, 田尾周一郎, 豊田文彦: "CP Violation in the Higgs Sector and Phase Transition in the MSSM"Progress of Theretical Physics. 109・3. (2003)

Koichi Funakubo、Shuichiro Tai、Fumihiko Toyota：“希格斯扇区中的 CP 破坏和 MSSM 中的相变”理论物理学进展 109・3。

QCD真空とHopf写像

QCD 真空和 Hopf 图

• 发表时间: 2006
• 期刊: 近畿大学産業理工学部研究報告 05
• 作者: 豊田文彦

Hopf Soliton

霍普孤子

• 发表时间: 2006
• 期刊: REPORTS of School of Humanity-Oriented Science and Engineering KINKI UNIVERSITY 04
• 作者: I. Aizawa;T. Kitabayashi;M. Yasue;F. Toyoda
• 通讯作者: F. Toyoda

Hopfソリトン

霍普孤子

• 发表时间: 2006
• 期刊: 近畿大学産業理工学部研究報告 04
• 作者: M. Kenmoku;豊田文彦
• 通讯作者: 豊田文彦

船久保公一, 角藤亮, 大槻昭一郎, 豊田文彦: "Charge Generation in an Oscillating Background"Progress of Theoretical Physics. 105・5. 773-788 (2001)

Koichi Funakubo、Ryo Kakudo、Shoichiro Otsuki、Fumihiko Toyota：“振荡背景中的电荷生成”理论物理进展 105・5（2001）。