Dynamical Symmetry Breaking in Curved Space-time

弯曲时空的动力学对称性破缺

基本信息

批准号：
08640377
负责人：
MUTA Taizo
金额：
$ 1.41万
依托单位：
HIROSHIMA UNIVERSITY
依托单位国家：
日本
项目类别：
Grant-in-Aid for Scientific Research (C)
财政年份：
1996
资助国家：
日本
起止时间：
1996 至 1998
项目状态：
已结题

项目摘要

At the early stage of the expanding universe, in particular at the period of grand unified theories when the inflation takes place, the universe is influenced by the strong classical gravity which keeps the space-time curved. The inflationary expansion is caused by the Higgs field. In the ordinary inflation scenario the Higgs field is preassumed to be 'elementary' and its vacuum expectation value is a free parameter. We considered the possibility that the Higgs field is a composite field composed of a pair of fermions and investigated the cosmological consequences of this assumption. Our results are summarized as follows;(1)As a prototype model of the composite Higgs model we adopt the Nambu-Jona-Lasinio model and studied the phase structure of the model under the condition of the early universe with curved space-time and high temperature and density. We found the 2nd order phase transition.(2)We studied the phase structure of Abelian gauge theories at finite temperature by using the Schwinger-Dyson equation in the real time formalism. We found the clear signal of the 2nd order phase transition.(3)We examined the supersymmetric Nambu-Jona-Lasinio model with a soft supersymmetry breaking term in the 1/N expansion method at finite temperature and curvature. We find that the 1st and 2nd order phase transition may take place depending on the strength of the coupling constant and the soft breaking constant.The above results were applied to the universe in the inflationary era and we find that the cosmic strings may be produced in this era.

在宇宙膨胀的早期，特别是在暴胀发生的大统一理论时期，宇宙受到强大的经典引力的影响，使时空保持弯曲。暴胀扩张是由希格斯场引起的。在普通的暴胀情景中，希格斯场被假定为“基本”场，其真空期望值是一个自由参数。我们考虑了希格斯场是由一对费米子组成的复合场的可能性，并研究了这一假设的宇宙学后果。我们的研究成果概括如下：(1)我们采用Nambu-Jona-Lasinio模型作为复合希格斯模型的原型模型，研究了早期宇宙时空弯曲、高能条件下该模型的相结构。温度和密度。我们发现了二阶相变。(2)利用实时形式主义中的Schwinger-Dyson方程研究了有限温度下阿贝尔规范理论的相结构。我们发现了清晰的二阶相变信号。(3)我们在有限温度和曲率下用1/N展开法检验了具有软超对称破缺项的超对称Nambu-Jona-Lasinio模型。我们发现，根据耦合常数和软断裂常数的强弱，可能会发生一阶和二阶相变。将上述结果应用于暴胀时代的宇宙，我们发现宇宙弦可能在这个时代。