Randall-Sundrum 2和Lykken-Randall模型中的矢量玻色子和非粒子
Vector Bosons in the Randall-Sundrum 2 and Lykken-Randall models and unparticles
摘要:
当膜局域标准模型电流耦合到生活在RS 2模型的五维翘曲背景中的大规模矢量场时,在Randall-Sundrum 2(RS 2)和Lykken-Randall(LR)膜情景中显示出非粒子行为。通过AdS/CFT字典,这些背景在大N_c和强t Hooft耦合下表现出非粒子CFT的某些性质。在RS 2模型中,我们还详细研究和对比了中距离和大距离的标量和矢量位置空间矢量。膜到膜散射振幅的么正性被看作是体质量为正的一个充分必要条件,这导致了CFT中向量算子的著名的么正性界。
英文摘要:
Unparticle behavior is shown to be realized in the Randall-Sundrum 2 (RS 2) and the Lykken-Randall (LR) brane scenarios when brane-localized Standard Model currents are coupled to a massive vector field living in the five-dimensional warped background of the RS 2 model. By the AdS/CFT dictionary these backgrounds exhibit certain properties of the unparticle CFT at large N_c and strong 't Hooft coupling. Within the RS 2 model we also examine and contrast in detail the scalar and vector position-space correlators at intermediate and large distances. Unitarity of brane-to-brane scattering amplitudes is seen to imply a necessary and sufficient condition on the positivity of the bulk mass, which leads to the well-known unitarity bound on vector operators in a CFT.
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