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arXiv 0812.2696gr-qcastro-phcond-mat.otherhep-ph
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突现电弱引力

Emergent Electroweak Gravity

Bob McElrath

摘要:

我们发现,任何大质量的宇宙学遗迹粒子与小的自相互作用是一个超流体今天,由于其波包的扩大,并缺乏任何弹性散射。为了保持经典性,WIMP暗物质图像只有其质量$M \gg M_{\rm Pl}$是一致的。超流体的动力学由束缚态准粒子的激发谱给出,而不是由组成粒子的质心运动给出。如果这个残余物是一个费米子,它的排斥相互作用是由重玻色子介导的,比如中微子通过$Z^0$相互作用,那么凝聚体的量子数就和广义相对论中的维尔拜因一样。由于费米子的自相互作用之间存在一种增强的整体对称性$SO(3,1)_{space}\times SO(3,1)_{spin}$,这种凝聚体周围的长波涨落是一种Goldstone引力子。引力理论存在于弱标度之下的标准模型电弱扇区的低能极限中,其强度在参数上类似于$G_N$。

英文摘要:

We show that any massive cosmological relic particle with small self-interactions is a super-fluid today, due to the broadening of its wave packet, and lack of any elastic scattering. The WIMP dark matter picture is only consistent its mass $M \gg M_{\rm Pl}$ in order to maintain classicality. The dynamics of a super-fluid are given by the excitation spectrum of bound state quasi-particles, rather than the center of mass motion of constituent particles. If this relic is a fermion with a repulsive interaction mediated by a heavy boson, such as neutrinos interacting via the $Z^0$, the condensate has the same quantum numbers as the vierbein of General Relativity. Because there exists an enhanced global symmetry $SO(3,1)_{space}\times SO(3,1)_{spin}$ among the fermion's self-interactions broken only by its kinetic term, the long wavelength fluctuation around this condensate is a Goldstone graviton. A gravitational theory exists in the low energy limit of the Standard Model's Electroweak sector below the weak scale, with a strength that is parametrically similar to $G_N$.

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