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arXiv 1105.3480gr-qchep-th
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圈量子引力与杨-米尔斯统一

Towards a Loop Quantum Gravity and Yang-Mills Unification

Stephon Alexander, Antonino Marciano, Ruggero Altair Tacchi

摘要:

通过引入自旋泡沫模型,提出了一种统一引力和标准模型的新方法。通过考虑Spin(4)Plebanski作用量,实现了SU(2)Yang-Mills相互作用与三维广义相对论的统一.通过模拟自旋(4)SO(4)对称性破缺相的单纯约束,将理论量子化为自旋泡沫。一个自然的4D扩展的理论。我们还提出了一种方法来恢复连接之间的2点关联函数作为实现粒子状态之间的散射振幅的第一种方式,旨在将圈量子引力连接到新的物理预测。

英文摘要:

We propose a new method of unifying gravity and the Standard Model by introducing a spin-foam model. We realize a unification between an SU(2) Yang-Mills interaction and 3D general relativity by considering a Spin(4) Plebanski action. The theory is quantized a la spin-foam by implementing the analogue of the simplicial constraints for the broken phase of the Spin(4) SO(4) symmetry. A natural 4D extension of the theory is shown. We also present a way to recover 2-point correlation functions between the connections as a first way to implement scattering amplitudes between particle states, aiming to connect Loop Quantum Gravity to new physical predictions.

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