关于点分裂算子的几点注记
Some remarks on point split commutators
摘要：
在量子场论中，点分裂被认为是处理反常散射子的一种方法。D.G.已经指出了。Boulware[4]指出，为了得到一个数学上一致的理论，Hamilton算子也必须是点分裂的。我们将研究1-1D时空中自由费米子场的点分裂对哈密顿量的影响。结果表明，当哈密顿算符是点分裂时，量子态将以比正常真空态更少的能量存在。这就需要重新定义真空状态。
英文摘要：
Point splitting has been suggested as a way to deal with anomalous commutators in quantum field theory. It has been pointed out by D.G. Boulware[4] that in order to obtain a mathematically consistent theory the Hamiltonian operator must be point split also. We will examine the effect of point splitting the Hamiltonian for a free fermion field in 1-1D space-time. It will be shown that when the Hamiltonian operator is point split then quantum states will exist with less energy than the normal vacuum state. This requires the vacuum state to be redefined.
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