自旋联系是受限的还是凝聚的？
Is the spin connection confined or condensed?
摘要：
自旋连接作为一个与局部洛伦兹变换相关的非阿贝尔规范场进入引力理论。通常情况下，它被排除在一个额外的假设之外--即维尔拜因场的度量性。然而，如果用通常的规范作用量单独处理它，它有一个负的beta函数，这意味着它是渐近自由的。我认为自旋联系可以像其他非阿贝尔规范场一样被限制（或者部分限制）。这将消除对度规性的额外假设的需要，因为在低能理论中不存在自旋联系，只需要使用度规变量来实现对称性。
英文摘要：
The spin connection enters the theory of gravity as a nonabelian gauge field associated with local Lorentz transformations. Normally it is eliminated from making an extra assumption - that of the metricity of the vierbein field. However, treated by itself with the usual gauge action, it has a negative beta function, implying that it is asymptotically free. I suggest that the spin connection could be confined (or perhaps partially confined) in the same way as other nonabelian gauge fields. This would remove the need to make the extra assumption of metricity, as the spin connection would not be present in the low energy theory, leaving the symmetry to be realized only using metric variables.
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