arXiv 1012.55642010-12hep-th

几种全息超导体临界指数的解析计算

Analytical Computation of Critical Exponents in Several Holographic Superconductors

Hua-Bi Zeng, Xin Gao, Yu Jiang, Hong-Shi Zong

备注：: 20 pages, accepted by JHEP, some interpretation added
发表信息：: JHEP 1105:002,2011
DOI：: 10.1007/JHEP05(2011)002

摘要：

有趣的是，所有的全息超导体，如s波、p波和d波全息超导体，在临界温度下，都表现出普遍的平均场临界指数1/2，就像Gindzburg-Landau（G-L）理论的二级相变一样。现在认为，普适临界指数的出现是因为对偶引力理论在大$N$极限下是经典的。然而，即使在大的$N$极限，也有一个例外，称为“非平均场论“：一个扩展的s波模型与三次项的带电标量场显示出不同的临界指数1。在本文中，我们试图使用分析方法来获得这些模型的临界指数，看看如何重力作用的性质决定的外观的平均场行为。可以看出，正如G-L理论一样，是基本对称性而不是体理论的详细参数导致了全息超导相变的普遍性质。文中还讨论了所谓“非平均场论“的可行性。

英文摘要：

It is very interesting that all holographic superconductors, such as s-wave, p-wave and d-wave holographic superconductors, show the universal mean-field critical exponent 1/2 at the critical temperature, just like Gindzburg-Landau (G-L) theory for second order phase transitions. Now it is believed that the universal critical exponents appear because the dual gravity theory is classic in the large $N$ limit. However, even in the large $N$ limit there is an exception called "non-mean-field theory": an extension of the s-wave model with a cubic term of the charged scalar field shows a different critical exponent 1. In this paper, we try to use analytical methods to obtain the critical exponents for these models to see how the properties of the gravity action decides the appearance of the mean-field behaviors. It will be seen that just like the G-L theory, it is the fundamental symmetries rather than the detailed parameters of the bulk theory that lead to the universal properties of the holographic superconducting phase transition. The feasibility of the called "non-mean-field theory" is also discussed.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

摘要：

英文摘要：

相关论文