论文标题
按照限制的量规理论的一阶形式为一环订单
On Restricting First Order Form of Gauge Theories to One-Loop Order
论文作者
论文摘要
Yang-Mills和Einstein-Hilbert动作的一阶形式进行了量化，并显示了Green的功能是如何使用这些理论的第一阶和第二阶形式计算的。接下来，我们显示如何使用Lagrange乘数字段（LM），可以消除超出一环订单以外的辐射效果。这允许人们精确地计算Green的功能而不会失去单位性。 Yang-Mills和Einstein-Hilbert的作用检查了这种限制对辐射效应的后果。在这两个规格的理论中，我们发现，一旦使用LM场来消除超出一环阶的效应，量化理论既可以恢复和统一。
The first order form of the Yang-Mills and Einstein-Hilbert actions are quantized, and it is shown how Green's functions computed using the first and the second order form of these theories are related. Next we show how by use of Lagrange multiplier fields (LM), radiative effects beyond one-loop order can be eliminated. This allows one to compute Green's functions exactly without loss of unitarity. The consequences of this restriction on radiative effects are examined for the Yang-Mills and Einstein-Hilbert actions. In these two gauge theories, we find that the quantized theory is both renormalizable and unitary once the LM field is used to eliminate effects beyond one-loop order.
