局部化算子一致性要求下的非最小耦合
Non-minimal Coupling from Consistency Requirements for a Localization Operator
摘要:
在量子理论中,要求一个局域密度算符是线性的,并且要求它的期望值是协变的,这就导致在哈密顿量中增加了一些项,从而将一个标量场耦合到矢量密度丛上的一个联系上。这似乎意味着标量动力学中的时空几何比最小耦合所规定的程度更大。
英文摘要:
Requiring both that a proposed localization-density operator be linear in quantum theory and that its expectation value be covariant leads to addition of terms in the Hamiltonian, coupling a scalar field to a connection on the vector-density bundle. This would appear to implicate spacetime geometry in the scalar's dynamics to a greater degree than what is prescribed by minimal coupling.
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