Coherent State Path Integrals without Resolutions of Unity

摘要: From the very beginning, coherent state path integrals have always relied on a resolution of unity for their construction. By choosing an inadmissible fiducial vector, set ``coherent states'' spans same space but loses its unity, and that reason has been called weak states. Despite having no it is nevertheless shown how propagator in such basis may admit phase-space integral representation essentially form as if had unity. Our examples are toy models similar situations arise current studies quantum gravity.