Spin foam models of Yang–Mills theory coupled to gravity
Spin foam models of Yang–Mills theory coupled to gravity
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DOI：
10.1088/0264-9381/20/1/317
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发表时间：
2002-10
影响因子：
3.5
通讯作者：
A. Miković
中科院分区：
文献类型：
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作者：
A. Miković
利用BF理论的离散化路径积分和Barrett-Crane近似，构造了一个与引力耦合的Yang-Mills自旋泡沫模型.在欧几里德引力情形下，我们得到了一个顶点振幅，它是由作用在一个简单自旋网络函数上的顶点算子决定的。欧几里德引力的结果可以直接推广到洛伦兹情形，从而我们提出了一个与引力耦合的洛伦兹自旋泡沫模型。
We construct a spin foam model of Yang–Mills theory coupled to gravity by using a discretized path integral of the BF theory with polynomial interactions and the Barrett–Crane ansatz. In the Euclidean gravity case, we obtain a vertex amplitude which is determined by a vertex operator acting on a simple spin network function. The Euclidean gravity results can be straightforwardly extended to the Lorentzian case, so that we propose a Lorentzian spin foam model of Yang–Mills theory coupled to gravity.