KITP, Santa Barbara, CA 93106, USA.
Philos Trans A Math Phys Eng Sci. 2011 Apr 28;369(1941):1640-69. doi: 10.1098/rsta.2010.0354.
Techniques arising from string theory can be used to study assemblies of strongly interacting fermions. Via this 'holographic duality', various strongly coupled many-body systems are solved using an auxiliary theory of gravity. Simple holographic realizations of finite density exhibit single-particle spectral functions with sharp Fermi surfaces, of a form distinct from those of the Landau theory. The self-energy is given by a correlation function in an infrared (IR) fixed-point theory that is represented by a two-dimensional anti de Sitter space (AdS(2)) region in the dual gravitational description. Here, we describe in detail the gravity calculation of this IR correlation function.
弦论所产生的技术可以用来研究强相互作用费米子的集合。通过这种“全息对偶性”,使用辅助的引力理论来解决各种强耦合多体系统。有限密度的简单全息实现展示了具有尖锐费米面的单粒子能谱,其形式不同于朗道理论的形式。自能由在红外(IR)固定点理论中的相关函数给出,该理论在对偶引力描述中由二维反德西特空间(AdS(2))区域表示。在这里,我们详细描述了该 IR 相关函数的引力计算。