低频下黑洞的离域有效自由度
The Delocalized Effective Degrees of Freedom of a Black Hole at Low Frequencies
摘要:
确定黑洞的基本自由度是一个长期存在的难题。在第hep-th/0511133号文件中,Goldberger和Rothstein提出了一种在有效场论方法中的低频自由度理论,其中它们是相关有序的,但物理起源不清楚。在这里,这些自由度被确定为近地平线,但非紧凑的引力摄动分解成离域多极。它们的世界线(动力学)行动内的经典有效场论(CLEFT)的方法和它们的相互作用进行了讨论。的情况下的长波长散射的标量波关闭史瓦西黑洞的处理在一些细节,解释内的CLEFT方法的平等的领先的吸收截面与视界面积。
英文摘要:
Identifying the fundamental degrees of freedom of a black hole poses a long-standing puzzle. In hep-th/0511133 Goldberger and Rothstein forwarded a theory of the low frequency degrees of freedom within the effective field theory approach, where they are relevancy-ordered but of unclear physical origin. Here these degrees of freedom are identified with near-horizon but non-compact gravitational perturbations which are decomposed into delocalized multipoles. Their world-line (kinetic) action is determined within the classical effective field theory (CLEFT) approach and their interactions are discussed. The case of the long-wavelength scattering of a scalar wave off a Schwarzschild black hole is treated in some detail, interpreting within the CLEFT approach the equality of the leading absorption cross section with the horizon area.
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