标量量子场论中的分歧：原因与解决办法
Divergences in Scalar Quantum Field Theory: The Cause and the Cure
摘要：
协变标量场在两个或多个时空维度中量子化时表现出发散：n \geg 2。微扰理论，有效理论，重整化群，等等，告诉我们关于这些问题的所有信息另一种方法确定分歧的原因是由于努力乘法相关的两个措施，是相互奇异的，而这些分歧的治疗是引入一个O（\hbar）的counterterm相互奇异的措施转换成等价的措施。这个过程导致一个非平凡的，发散的所有n \geq 2制定。最后，与传统的程序的新方法的关键比较。
英文摘要：
Covariant scalar fields exhibit divergences when quantized in two or more spacetime dimensions: n \geg 2. Does perturbation theory, effective theories, the renormalization group, etc., tell us all there is to know about these problems? An alternative approach identifies the cause of divergences as due to the effort to multiplicatively relate two measures that are mutually singular, while the cure for those divergences is to introduce an O(\hbar) counterterm that converts mutually singular measures into equivalent measures. This procedure leads to a nontrivial, divergence-free formulation for all n \geq 2. Finally, a critical comparison of the new methods with traditional procedures is given.
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