Canonical formulation of Poincaré BFCG theory and its quantization
Canonical formulation of Poincaré BFCG theory and its quantization
复制标题
庞加莱 BFCG 理论的规范表述及其量子化
DOI：
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发表时间：
2014
期刊：
影响因子：
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通讯作者：
M. A. Oliveira
中科院分区：
文献类型：
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作者：
A. Miković;M. A. Oliveira
我们找到了关于空间2-连接及其正则共轭动量的庞卡罗莱BFCG理论的正则表达式。我们证明了poincar<e:1>群的BFCG作用与BF作用是动态等价的，并找到了两者之间的正则变换。我们通过传递到庞加莱<s:1> -连接基来研究庞加莱<s:1> - BFCG理论的正则量子化。然后可以通过执行傅里叶变换来实现2连接基中的量化。我们还简要讨论了如何构造自旋泡沫态的基础问题，自旋泡沫态是自旋网络态的范畴推广。
We find the canonical formulation of the Poincaré BFCG theory in terms of the spatial 2-connection and its canonically conjugate momenta. We show that the Poincaré BFCG action is dynamically equivalent to the BF action for the Poincaré group and we find the canonical transformation relating the two. We study the canonical quantization of the Poincaré BFCG theory by passing to the Poincaré-connection basis. The quantization in the 2-connection basis can be then achieved by performing a Fourier transform. We also briefly discuss how to approach the problem of constructing a basis of spin-foam states, which are the categorical generalization of the spin-network states from loop quantum gravity.
影响因子：
3.5
作者：
J. Barrett;R. J. Dowdall;W. Fairbairn;F. Hellmann;R. Pereira
通讯作者：
J. Barrett;R. J. Dowdall;W. Fairbairn;F. Hellmann;R. Pereira